{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE EmptyCase #-}
{-# LANGUAGE EmptyDataDecls #-}
{-# LANGUAGE ExistentialQuantification #-}
{-# LANGUAGE NoMonomorphismRestriction #-}
{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE ScopedTypeVariables #-}

{-# OPTIONS_GHC -Wno-overlapping-patterns #-}

module MAlonzo.Code.Algebra.Lattice.Properties.BooleanAlgebra where

import MAlonzo.RTE (coe, erased, AgdaAny, addInt, subInt, mulInt,
                    quotInt, remInt, geqInt, ltInt, eqInt, add64, sub64, mul64, quot64,
                    rem64, lt64, eq64, word64FromNat, word64ToNat)
import qualified MAlonzo.RTE
import qualified Data.Text
import qualified MAlonzo.Code.Agda.Builtin.Sigma
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Algebra.Bundles
import qualified MAlonzo.Code.Algebra.Consequences.Setoid
import qualified MAlonzo.Code.Algebra.Lattice.Bundles
import qualified MAlonzo.Code.Algebra.Lattice.Properties.DistributiveLattice
import qualified MAlonzo.Code.Algebra.Lattice.Properties.Lattice
import qualified MAlonzo.Code.Algebra.Lattice.Properties.Semilattice
import qualified MAlonzo.Code.Algebra.Lattice.Structures
import qualified MAlonzo.Code.Algebra.Structures
import qualified MAlonzo.Code.Function.Base
import qualified MAlonzo.Code.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Lattice.Bundles
import qualified MAlonzo.Code.Relation.Binary.Lattice.Structures
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Base.Single
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Syntax
import qualified MAlonzo.Code.Relation.Binary.Structures

-- Algebra.Lattice.Properties.BooleanAlgebra._.IsAbelianGroup
d_IsAbelianGroup_116 :: p -> p -> p -> p -> p -> p -> ()
d_IsAbelianGroup_116 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeMonoid
d_IsCommutativeMonoid_128 :: p -> p -> p -> p -> p -> ()
d_IsCommutativeMonoid_128 p
a0 p
a1 p
a2 p
a3 p
a4 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeRing
d_IsCommutativeRing_130 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsCommutativeRing_130 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeSemiring
d_IsCommutativeSemiring_134 :: p -> p -> p -> p -> p -> p -> p -> ()
d_IsCommutativeSemiring_134 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsGroup
d_IsGroup_140 :: p -> p -> p -> p -> p -> p -> ()
d_IsGroup_140 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsMagma
d_IsMagma_160 :: p -> p -> p -> p -> ()
d_IsMagma_160 p
a0 p
a1 p
a2 p
a3 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsMonoid
d_IsMonoid_166 :: p -> p -> p -> p -> p -> ()
d_IsMonoid_166 p
a0 p
a1 p
a2 p
a3 p
a4 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsRing
d_IsRing_182 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsRing_182 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsSemigroup
d_IsSemigroup_188 :: p -> p -> p -> p -> ()
d_IsSemigroup_188 p
a0 p
a1 p
a2 p
a3 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsSemiring
d_IsSemiring_192 :: p -> p -> p -> p -> p -> p -> p -> ()
d_IsSemiring_192 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsAbelianGroup.comm
d_comm_208 ::
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_comm_208 :: T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny
d_comm_208 T_IsAbelianGroup_1132
v0
  = (T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsAbelianGroup_1132 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_comm_1146 (T_IsAbelianGroup_1132 -> AgdaAny
forall a b. a -> b
coe T_IsAbelianGroup_1132
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsAbelianGroup.isGroup
d_isGroup_230 ::
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132 ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036
d_isGroup_230 :: T_IsAbelianGroup_1132 -> T_IsGroup_1036
d_isGroup_230 T_IsAbelianGroup_1132
v0
  = (T_IsAbelianGroup_1132 -> T_IsGroup_1036)
-> AgdaAny -> T_IsGroup_1036
forall a b. a -> b
coe T_IsAbelianGroup_1132 -> T_IsGroup_1036
MAlonzo.Code.Algebra.Structures.d_isGroup_1144 (T_IsAbelianGroup_1132 -> AgdaAny
forall a b. a -> b
coe T_IsAbelianGroup_1132
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeMonoid.comm
d_comm_498 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_736 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_comm_498 :: T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny
d_comm_498 T_IsCommutativeMonoid_736
v0
  = (T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeMonoid_736 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_comm_748 (T_IsCommutativeMonoid_736 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeMonoid_736
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeMonoid.isMonoid
d_isMonoid_514 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_736 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
d_isMonoid_514 :: T_IsCommutativeMonoid_736 -> T_IsMonoid_686
d_isMonoid_514 T_IsCommutativeMonoid_736
v0
  = (T_IsCommutativeMonoid_736 -> T_IsMonoid_686)
-> AgdaAny -> T_IsMonoid_686
forall a b. a -> b
coe T_IsCommutativeMonoid_736 -> T_IsMonoid_686
MAlonzo.Code.Algebra.Structures.d_isMonoid_746 (T_IsCommutativeMonoid_736 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeMonoid_736
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeRing.*-comm
d_'42''45'comm_544 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_2796 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'comm_544 :: T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'comm_544 T_IsCommutativeRing_2796
v0
  = (T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeRing_2796 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'42''45'comm_2814 (T_IsCommutativeRing_2796 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeRing_2796
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeRing.isRing
d_isRing_632 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_2796 ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650
d_isRing_632 :: T_IsCommutativeRing_2796 -> T_IsRing_2650
d_isRing_632 T_IsCommutativeRing_2796
v0
  = (T_IsCommutativeRing_2796 -> T_IsRing_2650)
-> AgdaAny -> T_IsRing_2650
forall a b. a -> b
coe T_IsCommutativeRing_2796 -> T_IsRing_2650
MAlonzo.Code.Algebra.Structures.d_isRing_2812 (T_IsCommutativeRing_2796 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeRing_2796
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeSemiring.*-comm
d_'42''45'comm_698 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1678 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'comm_698 :: T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'comm_698 T_IsCommutativeSemiring_1678
v0
  = (T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeSemiring_1678 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'42''45'comm_1694 (T_IsCommutativeSemiring_1678 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeSemiring_1678
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsCommutativeSemiring.isSemiring
d_isSemiring_768 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1678 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570
d_isSemiring_768 :: T_IsCommutativeSemiring_1678 -> T_IsSemiring_1570
d_isSemiring_768 T_IsCommutativeSemiring_1678
v0
  = (T_IsCommutativeSemiring_1678 -> T_IsSemiring_1570)
-> AgdaAny -> T_IsSemiring_1570
forall a b. a -> b
coe T_IsCommutativeSemiring_1678 -> T_IsSemiring_1570
MAlonzo.Code.Algebra.Structures.d_isSemiring_1692 (T_IsCommutativeSemiring_1678 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeSemiring_1678
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsGroup.inverse
d_inverse_896 ::
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_inverse_896 :: T_IsGroup_1036 -> T_Σ_14
d_inverse_896 T_IsGroup_1036
v0
  = (T_IsGroup_1036 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsGroup_1036 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_inverse_1052 (T_IsGroup_1036 -> AgdaAny
forall a b. a -> b
coe T_IsGroup_1036
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsGroup.isMonoid
d_isMonoid_910 ::
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
d_isMonoid_910 :: T_IsGroup_1036 -> T_IsMonoid_686
d_isMonoid_910 T_IsGroup_1036
v0
  = (T_IsGroup_1036 -> T_IsMonoid_686) -> AgdaAny -> T_IsMonoid_686
forall a b. a -> b
coe T_IsGroup_1036 -> T_IsMonoid_686
MAlonzo.Code.Algebra.Structures.d_isMonoid_1050 (T_IsGroup_1036 -> AgdaAny
forall a b. a -> b
coe T_IsGroup_1036
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsGroup.⁻¹-cong
d_'8315''185''45'cong_932 ::
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8315''185''45'cong_932 :: T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8315''185''45'cong_932 T_IsGroup_1036
v0
  = (T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsGroup_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8315''185''45'cong_1054 (T_IsGroup_1036 -> AgdaAny
forall a b. a -> b
coe T_IsGroup_1036
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsMagma.isEquivalence
d_isEquivalence_1460 ::
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1460 :: T_IsMagma_176 -> T_IsEquivalence_26
d_isEquivalence_1460 T_IsMagma_176
v0
  = (T_IsMagma_176 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsMagma_176 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_184 (T_IsMagma_176 -> AgdaAny
forall a b. a -> b
coe T_IsMagma_176
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsMagma.∙-cong
d_'8729''45'cong_1474 ::
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8729''45'cong_1474 :: T_IsMagma_176
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8729''45'cong_1474 T_IsMagma_176
v0
  = (T_IsMagma_176
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsMagma_176
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8729''45'cong_186 (T_IsMagma_176 -> AgdaAny
forall a b. a -> b
coe T_IsMagma_176
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsMonoid.identity
d_identity_1570 ::
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1570 :: T_IsMonoid_686 -> T_Σ_14
d_identity_1570 T_IsMonoid_686
v0
  = (T_IsMonoid_686 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsMonoid_686 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_698 (T_IsMonoid_686 -> AgdaAny
forall a b. a -> b
coe T_IsMonoid_686
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsMonoid.isSemigroup
d_isSemigroup_1582 ::
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
d_isSemigroup_1582 :: T_IsMonoid_686 -> T_IsSemigroup_472
d_isSemigroup_1582 T_IsMonoid_686
v0
  = (T_IsMonoid_686 -> T_IsSemigroup_472)
-> AgdaAny -> T_IsSemigroup_472
forall a b. a -> b
coe T_IsMonoid_686 -> T_IsSemigroup_472
MAlonzo.Code.Algebra.Structures.d_isSemigroup_696 (T_IsMonoid_686 -> AgdaAny
forall a b. a -> b
coe T_IsMonoid_686
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsRing.*-assoc
d_'42''45'assoc_2088 ::
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'assoc_2088 :: T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'assoc_2088 T_IsRing_2650
v0
  = (T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsRing_2650 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'42''45'assoc_2676 (T_IsRing_2650 -> AgdaAny
forall a b. a -> b
coe T_IsRing_2650
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsRing.*-cong
d_'42''45'cong_2090 ::
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'42''45'cong_2090 :: T_IsRing_2650
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'42''45'cong_2090 T_IsRing_2650
v0
  = (T_IsRing_2650
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsRing_2650
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'42''45'cong_2674 (T_IsRing_2650 -> AgdaAny
forall a b. a -> b
coe T_IsRing_2650
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsRing.*-identity
d_'42''45'identity_2096 ::
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'42''45'identity_2096 :: T_IsRing_2650 -> T_Σ_14
d_'42''45'identity_2096 T_IsRing_2650
v0
  = (T_IsRing_2650 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsRing_2650 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_'42''45'identity_2678 (T_IsRing_2650 -> AgdaAny
forall a b. a -> b
coe T_IsRing_2650
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsRing.+-isAbelianGroup
d_'43''45'isAbelianGroup_2124 ::
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650 ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132
d_'43''45'isAbelianGroup_2124 :: T_IsRing_2650 -> T_IsAbelianGroup_1132
d_'43''45'isAbelianGroup_2124 T_IsRing_2650
v0
  = (T_IsRing_2650 -> T_IsAbelianGroup_1132)
-> AgdaAny -> T_IsAbelianGroup_1132
forall a b. a -> b
coe
      T_IsRing_2650 -> T_IsAbelianGroup_1132
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_2672
      (T_IsRing_2650 -> AgdaAny
forall a b. a -> b
coe T_IsRing_2650
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsRing.distrib
d_distrib_2154 ::
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_2154 :: T_IsRing_2650 -> T_Σ_14
d_distrib_2154 T_IsRing_2650
v0
  = (T_IsRing_2650 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsRing_2650 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_2680 (T_IsRing_2650 -> AgdaAny
forall a b. a -> b
coe T_IsRing_2650
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsSemigroup.assoc
d_assoc_2314 ::
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_assoc_2314 :: T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_assoc_2314 T_IsSemigroup_472
v0
  = (T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsSemigroup_472 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_assoc_482 (T_IsSemigroup_472 -> AgdaAny
forall a b. a -> b
coe T_IsSemigroup_472
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsSemigroup.isMagma
d_isMagma_2318 ::
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
d_isMagma_2318 :: T_IsSemigroup_472 -> T_IsMagma_176
d_isMagma_2318 T_IsSemigroup_472
v0
  = (T_IsSemigroup_472 -> T_IsMagma_176) -> AgdaAny -> T_IsMagma_176
forall a b. a -> b
coe T_IsSemigroup_472 -> T_IsMagma_176
MAlonzo.Code.Algebra.Structures.d_isMagma_480 (T_IsSemigroup_472 -> AgdaAny
forall a b. a -> b
coe T_IsSemigroup_472
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsSemiring.isSemiringWithoutAnnihilatingZero
d_isSemiringWithoutAnnihilatingZero_2432 ::
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1468
d_isSemiringWithoutAnnihilatingZero_2432 :: T_IsSemiring_1570 -> T_IsSemiringWithoutAnnihilatingZero_1468
d_isSemiringWithoutAnnihilatingZero_2432 T_IsSemiring_1570
v0
  = (T_IsSemiring_1570 -> T_IsSemiringWithoutAnnihilatingZero_1468)
-> AgdaAny -> T_IsSemiringWithoutAnnihilatingZero_1468
forall a b. a -> b
coe
      T_IsSemiring_1570 -> T_IsSemiringWithoutAnnihilatingZero_1468
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1584
      (T_IsSemiring_1570 -> AgdaAny
forall a b. a -> b
coe T_IsSemiring_1570
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsSemiring.zero
d_zero_2446 ::
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_2446 :: T_IsSemiring_1570 -> T_Σ_14
d_zero_2446 T_IsSemiring_1570
v0
  = (T_IsSemiring_1570 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsSemiring_1570 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_1586 (T_IsSemiring_1570 -> AgdaAny
forall a b. a -> b
coe T_IsSemiring_1570
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._._DistributesOver_
d__DistributesOver__2632 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver__2632 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver__2632 = ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._._DistributesOverʳ_
d__DistributesOver'691'__2634 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'691'__2634 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'691'__2634 = ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._._DistributesOverˡ_
d__DistributesOver'737'__2636 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'737'__2636 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'737'__2636 = ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Associative
d_Associative_2652 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Associative_2652 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Associative_2652 = ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Commutative
d_Commutative_2656 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Commutative_2656 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Commutative_2656 = ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Congruent₂
d_Congruent'8322'_2660 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Congruent'8322'_2660 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Congruent'8322'_2660 = ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Identity
d_Identity_2672 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Identity_2672 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Identity_2672 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Inverse
d_Inverse_2676 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Inverse_2676 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Inverse_2676 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Involutive
d_Involutive_2680 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny) -> ()
d_Involutive_2680 :: () -> () -> T_BooleanAlgebra_682 -> (AgdaAny -> AgdaAny) -> ()
d_Involutive_2680 = () -> () -> T_BooleanAlgebra_682 -> (AgdaAny -> AgdaAny) -> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.LeftIdentity
d_LeftIdentity_2698 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftIdentity_2698 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftIdentity_2698 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.LeftInverse
d_LeftInverse_2700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftInverse_2700 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftInverse_2700 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.LeftZero
d_LeftZero_2706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftZero_2706 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftZero_2706 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.RightIdentity
d_RightIdentity_2728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightIdentity_2728 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightIdentity_2728 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.RightInverse
d_RightInverse_2730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightInverse_2730 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightInverse_2730 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.RightZero
d_RightZero_2736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightZero_2736 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightZero_2736 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.Zero
d_Zero_2756 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Zero_2756 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Zero_2756 = ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsBooleanAlgebra
d_IsBooleanAlgebra_2892 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsBooleanAlgebra_2892 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsBooleanAlgebra.isDistributiveLattice
d_isDistributiveLattice_2914 ::
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsBooleanAlgebra_3112 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsDistributiveLattice_3036
d_isDistributiveLattice_2914 :: T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
d_isDistributiveLattice_2914 T_IsBooleanAlgebra_3112
v0
  = (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
      T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
      (T_IsBooleanAlgebra_3112 -> AgdaAny
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsBooleanAlgebra.¬-cong
d_'172''45'cong_2930 ::
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsBooleanAlgebra_3112 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'cong_2930 :: T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'cong_2930 T_IsBooleanAlgebra_3112
v0
  = (T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
      (T_IsBooleanAlgebra_3112 -> AgdaAny
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsBooleanAlgebra.∧-complement
d_'8743''45'complement_2938 ::
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsBooleanAlgebra_3112 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'complement_2938 :: T_IsBooleanAlgebra_3112 -> T_Σ_14
d_'8743''45'complement_2938 T_IsBooleanAlgebra_3112
v0
  = (T_IsBooleanAlgebra_3112 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsBooleanAlgebra_3112 -> T_Σ_14
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'complement_3136
      (T_IsBooleanAlgebra_3112 -> AgdaAny
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.IsBooleanAlgebra.∨-complement
d_'8744''45'complement_2962 ::
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsBooleanAlgebra_3112 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'complement_2962 :: T_IsBooleanAlgebra_3112 -> T_Σ_14
d_'8744''45'complement_2962 T_IsBooleanAlgebra_3112
v0
  = (T_IsBooleanAlgebra_3112 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsBooleanAlgebra_3112 -> T_Σ_14
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'complement_3134
      (T_IsBooleanAlgebra_3112 -> AgdaAny
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v0)
-- Algebra.Lattice.Properties.BooleanAlgebra._.poset
d_poset_3356 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314
d_poset_3356 :: () -> () -> T_BooleanAlgebra_682 -> T_Poset_314
d_poset_3356 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_Poset_314
du_poset_3356 T_BooleanAlgebra_682
v2
du_poset_3356 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314
du_poset_3356 :: T_BooleanAlgebra_682 -> T_Poset_314
du_poset_3356 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_Poset_314
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_Poset_314) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_Poset_314
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_poset_162
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'semilattice_3194
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-idem
d_'8743''45'idem_3358 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8743''45'idem_3358 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8743''45'idem_3358 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'idem_3358 T_BooleanAlgebra_682
v2
du_'8743''45'idem_3358 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8743''45'idem_3358 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'idem_3358 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_Lattice_500 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'idem_3182
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isBand
d_'8743''45'isBand_3360 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_508
d_'8743''45'isBand_3360 :: () -> () -> T_BooleanAlgebra_682 -> T_IsBand_508
d_'8743''45'isBand_3360 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_IsBand_508
du_'8743''45'isBand_3360 T_BooleanAlgebra_682
v2
du_'8743''45'isBand_3360 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_508
du_'8743''45'isBand_3360 :: T_BooleanAlgebra_682 -> T_IsBand_508
du_'8743''45'isBand_3360 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsBand_508
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsBand_508) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsBand_508
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'isBand_3190
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isMagma
d_'8743''45'isMagma_3362 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
d_'8743''45'isMagma_3362 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMagma_176
d_'8743''45'isMagma_3362 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_IsMagma_176
du_'8743''45'isMagma_3362 T_BooleanAlgebra_682
v2
du_'8743''45'isMagma_3362 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
du_'8743''45'isMagma_3362 :: T_BooleanAlgebra_682 -> T_IsMagma_176
du_'8743''45'isMagma_3362 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsMagma_176
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsMagma_176) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsMagma_176
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'isMagma_3186
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isOrderTheoreticJoinSemilattice
d_'8743''45'isOrderTheoreticJoinSemilattice_3364 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_'8743''45'isOrderTheoreticJoinSemilattice_3364 :: () -> () -> T_BooleanAlgebra_682 -> T_IsJoinSemilattice_22
d_'8743''45'isOrderTheoreticJoinSemilattice_3364 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsJoinSemilattice_22
du_'8743''45'isOrderTheoreticJoinSemilattice_3364 T_BooleanAlgebra_682
v2
du_'8743''45'isOrderTheoreticJoinSemilattice_3364 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_'8743''45'isOrderTheoreticJoinSemilattice_3364 :: T_BooleanAlgebra_682 -> T_IsJoinSemilattice_22
du_'8743''45'isOrderTheoreticJoinSemilattice_3364 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_IsJoinSemilattice_22
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'isOrderTheoreticJoinSemilattice_178
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'semilattice_3194
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isOrderTheoreticMeetSemilattice
d_'8743''45'isOrderTheoreticMeetSemilattice_3366 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_180
d_'8743''45'isOrderTheoreticMeetSemilattice_3366 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMeetSemilattice_180
d_'8743''45'isOrderTheoreticMeetSemilattice_3366 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsMeetSemilattice_180
du_'8743''45'isOrderTheoreticMeetSemilattice_3366 T_BooleanAlgebra_682
v2
du_'8743''45'isOrderTheoreticMeetSemilattice_3366 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_180
du_'8743''45'isOrderTheoreticMeetSemilattice_3366 :: T_BooleanAlgebra_682 -> T_IsMeetSemilattice_180
du_'8743''45'isOrderTheoreticMeetSemilattice_3366 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsMeetSemilattice_180
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_IsMeetSemilattice_180) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_IsMeetSemilattice_180
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'isOrderTheoreticMeetSemilattice_176
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'semilattice_3194
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isSemigroup
d_'8743''45'isSemigroup_3368 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
d_'8743''45'isSemigroup_3368 :: () -> () -> T_BooleanAlgebra_682 -> T_IsSemigroup_472
d_'8743''45'isSemigroup_3368 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsSemigroup_472
du_'8743''45'isSemigroup_3368 T_BooleanAlgebra_682
v2
du_'8743''45'isSemigroup_3368 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
du_'8743''45'isSemigroup_3368 :: T_BooleanAlgebra_682 -> T_IsSemigroup_472
du_'8743''45'isSemigroup_3368 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsSemigroup_472
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsSemigroup_472) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsSemigroup_472
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'isSemigroup_3188
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isSemilattice
d_'8743''45'isSemilattice_3370 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeBand_590
d_'8743''45'isSemilattice_3370 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeBand_590
d_'8743''45'isSemilattice_3370 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeBand_590
du_'8743''45'isSemilattice_3370 T_BooleanAlgebra_682
v2
du_'8743''45'isSemilattice_3370 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeBand_590
du_'8743''45'isSemilattice_3370 :: T_BooleanAlgebra_682 -> T_IsCommutativeBand_590
du_'8743''45'isSemilattice_3370 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsCommutativeBand_590
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsCommutativeBand_590) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsCommutativeBand_590
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'isSemilattice_3192
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-orderTheoreticJoinSemilattice
d_'8743''45'orderTheoreticJoinSemilattice_3372 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_JoinSemilattice_14
d_'8743''45'orderTheoreticJoinSemilattice_3372 :: () -> () -> T_BooleanAlgebra_682 -> T_JoinSemilattice_14
d_'8743''45'orderTheoreticJoinSemilattice_3372 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_JoinSemilattice_14
du_'8743''45'orderTheoreticJoinSemilattice_3372 T_BooleanAlgebra_682
v2
du_'8743''45'orderTheoreticJoinSemilattice_3372 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_JoinSemilattice_14
du_'8743''45'orderTheoreticJoinSemilattice_3372 :: T_BooleanAlgebra_682 -> T_JoinSemilattice_14
du_'8743''45'orderTheoreticJoinSemilattice_3372 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_JoinSemilattice_14
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_JoinSemilattice_14
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'orderTheoreticJoinSemilattice_182
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'semilattice_3194
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-orderTheoreticMeetSemilattice
d_'8743''45'orderTheoreticMeetSemilattice_3374 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_MeetSemilattice_200
d_'8743''45'orderTheoreticMeetSemilattice_3374 :: () -> () -> T_BooleanAlgebra_682 -> T_MeetSemilattice_200
d_'8743''45'orderTheoreticMeetSemilattice_3374 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_MeetSemilattice_200
du_'8743''45'orderTheoreticMeetSemilattice_3374 T_BooleanAlgebra_682
v2
du_'8743''45'orderTheoreticMeetSemilattice_3374 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_MeetSemilattice_200
du_'8743''45'orderTheoreticMeetSemilattice_3374 :: T_BooleanAlgebra_682 -> T_MeetSemilattice_200
du_'8743''45'orderTheoreticMeetSemilattice_3374 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_MeetSemilattice_200
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_MeetSemilattice_200) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_MeetSemilattice_200
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'orderTheoreticMeetSemilattice_180
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'semilattice_3194
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-semilattice
d_'8743''45'semilattice_3376 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_Semilattice_10
d_'8743''45'semilattice_3376 :: () -> () -> T_BooleanAlgebra_682 -> T_Semilattice_10
d_'8743''45'semilattice_3376 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Semilattice_10
du_'8743''45'semilattice_3376 T_BooleanAlgebra_682
v2
du_'8743''45'semilattice_3376 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_Semilattice_10
du_'8743''45'semilattice_3376 :: T_BooleanAlgebra_682 -> T_Semilattice_10
du_'8743''45'semilattice_3376 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_Semilattice_10
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'semilattice_3194
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-∨-distributiveLattice
d_'8743''45''8744''45'distributiveLattice_3378 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_DistributiveLattice_584
d_'8743''45''8744''45'distributiveLattice_3378 :: () -> () -> T_BooleanAlgebra_682 -> T_DistributiveLattice_584
d_'8743''45''8744''45'distributiveLattice_3378 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_DistributiveLattice_584
du_'8743''45''8744''45'distributiveLattice_3378 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'distributiveLattice_3378 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_DistributiveLattice_584
du_'8743''45''8744''45'distributiveLattice_3378 :: T_BooleanAlgebra_682 -> T_DistributiveLattice_584
du_'8743''45''8744''45'distributiveLattice_3378 T_BooleanAlgebra_682
v0
  = (T_DistributiveLattice_584 -> T_DistributiveLattice_584)
-> AgdaAny -> T_DistributiveLattice_584
forall a b. a -> b
coe
      T_DistributiveLattice_584 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Properties.DistributiveLattice.du_'8743''45''8744''45'distributiveLattice_738
      ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-∨-isDistributiveLattice
d_'8743''45''8744''45'isDistributiveLattice_3380 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsDistributiveLattice_3036
d_'8743''45''8744''45'isDistributiveLattice_3380 :: () -> () -> T_BooleanAlgebra_682 -> T_IsDistributiveLattice_3036
d_'8743''45''8744''45'isDistributiveLattice_3380 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsDistributiveLattice_3036
du_'8743''45''8744''45'isDistributiveLattice_3380 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'isDistributiveLattice_3380 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsDistributiveLattice_3036
du_'8743''45''8744''45'isDistributiveLattice_3380 :: T_BooleanAlgebra_682 -> T_IsDistributiveLattice_3036
du_'8743''45''8744''45'isDistributiveLattice_3380 T_BooleanAlgebra_682
v0
  = (T_DistributiveLattice_584 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
      T_DistributiveLattice_584 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Properties.DistributiveLattice.du_'8743''45''8744''45'isDistributiveLattice_736
      ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-∨-isLattice
d_'8743''45''8744''45'isLattice_3382 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsLattice_2962
d_'8743''45''8744''45'isLattice_3382 :: () -> () -> T_BooleanAlgebra_682 -> T_IsLattice_2962
d_'8743''45''8744''45'isLattice_3382 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsLattice_2962
du_'8743''45''8744''45'isLattice_3382 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'isLattice_3382 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsLattice_2962
du_'8743''45''8744''45'isLattice_3382 :: T_BooleanAlgebra_682 -> T_IsLattice_2962
du_'8743''45''8744''45'isLattice_3382 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsLattice_2962) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45''8744''45'isLattice_3230
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-∨-lattice
d_'8743''45''8744''45'lattice_3384 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_Lattice_500
d_'8743''45''8744''45'lattice_3384 :: () -> () -> T_BooleanAlgebra_682 -> T_Lattice_500
d_'8743''45''8744''45'lattice_3384 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Lattice_500
du_'8743''45''8744''45'lattice_3384 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'lattice_3384 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_Lattice_500
du_'8743''45''8744''45'lattice_3384 :: T_BooleanAlgebra_682 -> T_Lattice_500
du_'8743''45''8744''45'lattice_3384 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_Lattice_500
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45''8744''45'lattice_3232
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-idem
d_'8744''45'idem_3386 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8744''45'idem_3386 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8744''45'idem_3386 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'idem_3386 T_BooleanAlgebra_682
v2
du_'8744''45'idem_3386 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8744''45'idem_3386 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'idem_3386 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_Lattice_500 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'idem_3206
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-isBand
d_'8744''45'isBand_3388 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_508
d_'8744''45'isBand_3388 :: () -> () -> T_BooleanAlgebra_682 -> T_IsBand_508
d_'8744''45'isBand_3388 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_IsBand_508
du_'8744''45'isBand_3388 T_BooleanAlgebra_682
v2
du_'8744''45'isBand_3388 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_508
du_'8744''45'isBand_3388 :: T_BooleanAlgebra_682 -> T_IsBand_508
du_'8744''45'isBand_3388 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsBand_508
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsBand_508) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsBand_508
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'isBand_3214
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-isMagma
d_'8744''45'isMagma_3390 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
d_'8744''45'isMagma_3390 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMagma_176
d_'8744''45'isMagma_3390 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_IsMagma_176
du_'8744''45'isMagma_3390 T_BooleanAlgebra_682
v2
du_'8744''45'isMagma_3390 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
du_'8744''45'isMagma_3390 :: T_BooleanAlgebra_682 -> T_IsMagma_176
du_'8744''45'isMagma_3390 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsMagma_176
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsMagma_176) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsMagma_176
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'isMagma_3210
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isOrderTheoreticJoinSemilattice
d_'8743''45'isOrderTheoreticJoinSemilattice_3392 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
d_'8743''45'isOrderTheoreticJoinSemilattice_3392 :: () -> () -> T_BooleanAlgebra_682 -> T_IsJoinSemilattice_22
d_'8743''45'isOrderTheoreticJoinSemilattice_3392 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsJoinSemilattice_22
du_'8743''45'isOrderTheoreticJoinSemilattice_3392 T_BooleanAlgebra_682
v2
du_'8743''45'isOrderTheoreticJoinSemilattice_3392 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsJoinSemilattice_22
du_'8743''45'isOrderTheoreticJoinSemilattice_3392 :: T_BooleanAlgebra_682 -> T_IsJoinSemilattice_22
du_'8743''45'isOrderTheoreticJoinSemilattice_3392 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsJoinSemilattice_22
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_IsJoinSemilattice_22) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_IsJoinSemilattice_22
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'isOrderTheoreticJoinSemilattice_178
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'semilattice_3218
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-isOrderTheoreticMeetSemilattice
d_'8743''45'isOrderTheoreticMeetSemilattice_3394 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_180
d_'8743''45'isOrderTheoreticMeetSemilattice_3394 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMeetSemilattice_180
d_'8743''45'isOrderTheoreticMeetSemilattice_3394 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsMeetSemilattice_180
du_'8743''45'isOrderTheoreticMeetSemilattice_3394 T_BooleanAlgebra_682
v2
du_'8743''45'isOrderTheoreticMeetSemilattice_3394 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsMeetSemilattice_180
du_'8743''45'isOrderTheoreticMeetSemilattice_3394 :: T_BooleanAlgebra_682 -> T_IsMeetSemilattice_180
du_'8743''45'isOrderTheoreticMeetSemilattice_3394 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsMeetSemilattice_180
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_IsMeetSemilattice_180) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_IsMeetSemilattice_180
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'isOrderTheoreticMeetSemilattice_176
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'semilattice_3218
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-isSemigroup
d_'8744''45'isSemigroup_3396 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
d_'8744''45'isSemigroup_3396 :: () -> () -> T_BooleanAlgebra_682 -> T_IsSemigroup_472
d_'8744''45'isSemigroup_3396 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsSemigroup_472
du_'8744''45'isSemigroup_3396 T_BooleanAlgebra_682
v2
du_'8744''45'isSemigroup_3396 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
du_'8744''45'isSemigroup_3396 :: T_BooleanAlgebra_682 -> T_IsSemigroup_472
du_'8744''45'isSemigroup_3396 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsSemigroup_472
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsSemigroup_472) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsSemigroup_472
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'isSemigroup_3212
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-isSemilattice
d_'8744''45'isSemilattice_3398 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeBand_590
d_'8744''45'isSemilattice_3398 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeBand_590
d_'8744''45'isSemilattice_3398 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeBand_590
du_'8744''45'isSemilattice_3398 T_BooleanAlgebra_682
v2
du_'8744''45'isSemilattice_3398 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeBand_590
du_'8744''45'isSemilattice_3398 :: T_BooleanAlgebra_682 -> T_IsCommutativeBand_590
du_'8744''45'isSemilattice_3398 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsCommutativeBand_590
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsCommutativeBand_590) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsCommutativeBand_590
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'isSemilattice_3216
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-orderTheoreticJoinSemilattice
d_'8743''45'orderTheoreticJoinSemilattice_3400 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_JoinSemilattice_14
d_'8743''45'orderTheoreticJoinSemilattice_3400 :: () -> () -> T_BooleanAlgebra_682 -> T_JoinSemilattice_14
d_'8743''45'orderTheoreticJoinSemilattice_3400 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_JoinSemilattice_14
du_'8743''45'orderTheoreticJoinSemilattice_3400 T_BooleanAlgebra_682
v2
du_'8743''45'orderTheoreticJoinSemilattice_3400 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_JoinSemilattice_14
du_'8743''45'orderTheoreticJoinSemilattice_3400 :: T_BooleanAlgebra_682 -> T_JoinSemilattice_14
du_'8743''45'orderTheoreticJoinSemilattice_3400 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_JoinSemilattice_14
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_JoinSemilattice_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_JoinSemilattice_14
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'orderTheoreticJoinSemilattice_182
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'semilattice_3218
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∧-orderTheoreticMeetSemilattice
d_'8743''45'orderTheoreticMeetSemilattice_3402 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_MeetSemilattice_200
d_'8743''45'orderTheoreticMeetSemilattice_3402 :: () -> () -> T_BooleanAlgebra_682 -> T_MeetSemilattice_200
d_'8743''45'orderTheoreticMeetSemilattice_3402 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_MeetSemilattice_200
du_'8743''45'orderTheoreticMeetSemilattice_3402 T_BooleanAlgebra_682
v2
du_'8743''45'orderTheoreticMeetSemilattice_3402 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_MeetSemilattice_200
du_'8743''45'orderTheoreticMeetSemilattice_3402 :: T_BooleanAlgebra_682 -> T_MeetSemilattice_200
du_'8743''45'orderTheoreticMeetSemilattice_3402 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_MeetSemilattice_200
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_10 -> T_MeetSemilattice_200) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_10 -> T_MeetSemilattice_200
MAlonzo.Code.Algebra.Lattice.Properties.Semilattice.du_'8743''45'orderTheoreticMeetSemilattice_180
            ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'semilattice_3218
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-semilattice
d_'8744''45'semilattice_3404 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_Semilattice_10
d_'8744''45'semilattice_3404 :: () -> () -> T_BooleanAlgebra_682 -> T_Semilattice_10
d_'8744''45'semilattice_3404 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Semilattice_10
du_'8744''45'semilattice_3404 T_BooleanAlgebra_682
v2
du_'8744''45'semilattice_3404 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_Semilattice_10
du_'8744''45'semilattice_3404 :: T_BooleanAlgebra_682 -> T_Semilattice_10
du_'8744''45'semilattice_3404 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_Semilattice_10
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_Semilattice_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_Semilattice_10
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'semilattice_3218
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-∧-isOrderTheoreticLattice
d_'8744''45''8743''45'isOrderTheoreticLattice_3406 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_340
d_'8744''45''8743''45'isOrderTheoreticLattice_3406 :: () -> () -> T_BooleanAlgebra_682 -> T_IsLattice_340
d_'8744''45''8743''45'isOrderTheoreticLattice_3406 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsLattice_340
du_'8744''45''8743''45'isOrderTheoreticLattice_3406 T_BooleanAlgebra_682
v2
du_'8744''45''8743''45'isOrderTheoreticLattice_3406 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Structures.T_IsLattice_340
du_'8744''45''8743''45'isOrderTheoreticLattice_3406 :: T_BooleanAlgebra_682 -> T_IsLattice_340
du_'8744''45''8743''45'isOrderTheoreticLattice_3406 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_IsLattice_340
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_IsLattice_340) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsLattice_340
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45''8743''45'isOrderTheoreticLattice_3244
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.∨-∧-orderTheoreticLattice
d_'8744''45''8743''45'orderTheoreticLattice_3408 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_Lattice_386
d_'8744''45''8743''45'orderTheoreticLattice_3408 :: () -> () -> T_BooleanAlgebra_682 -> T_Lattice_386
d_'8744''45''8743''45'orderTheoreticLattice_3408 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Lattice_386
du_'8744''45''8743''45'orderTheoreticLattice_3408 T_BooleanAlgebra_682
v2
du_'8744''45''8743''45'orderTheoreticLattice_3408 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Relation.Binary.Lattice.Bundles.T_Lattice_386
du_'8744''45''8743''45'orderTheoreticLattice_3408 :: T_BooleanAlgebra_682 -> T_Lattice_386
du_'8744''45''8743''45'orderTheoreticLattice_3408 T_BooleanAlgebra_682
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
    AgdaAny -> T_Lattice_386
forall a b. a -> b
coe
      ((T_Lattice_500 -> T_Lattice_386) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_Lattice_386
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45''8743''45'orderTheoreticLattice_3300
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-∨-isBooleanAlgebra
d_'8743''45''8744''45'isBooleanAlgebra_3410 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsBooleanAlgebra_3112
d_'8743''45''8744''45'isBooleanAlgebra_3410 :: () -> () -> T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
d_'8743''45''8744''45'isBooleanAlgebra_3410 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
du_'8743''45''8744''45'isBooleanAlgebra_3410 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'isBooleanAlgebra_3410 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Structures.T_IsBooleanAlgebra_3112
du_'8743''45''8744''45'isBooleanAlgebra_3410 :: T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
du_'8743''45''8744''45'isBooleanAlgebra_3410 T_BooleanAlgebra_682
v0
  = (T_IsDistributiveLattice_3036
 -> T_Σ_14
 -> T_Σ_14
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsBooleanAlgebra_3112)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
      T_IsDistributiveLattice_3036
-> T_Σ_14
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Structures.C_IsBooleanAlgebra'46'constructor_44015
      ((T_DistributiveLattice_584 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_DistributiveLattice_584 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Properties.DistributiveLattice.du_'8743''45''8744''45'isDistributiveLattice_736
         ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_IsBooleanAlgebra_3112 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_3112 -> T_Σ_14
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'complement_3136
         ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_IsBooleanAlgebra_3112 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_3112 -> T_Σ_14
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'complement_3134
         ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
         ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-∨-booleanAlgebra
d_'8743''45''8744''45'booleanAlgebra_3412 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682
d_'8743''45''8744''45'booleanAlgebra_3412 :: () -> () -> T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
d_'8743''45''8744''45'booleanAlgebra_3412 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
du_'8743''45''8744''45'booleanAlgebra_3412 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'booleanAlgebra_3412 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682
du_'8743''45''8744''45'booleanAlgebra_3412 :: T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
du_'8743''45''8744''45'booleanAlgebra_3412 T_BooleanAlgebra_682
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsBooleanAlgebra_3112
 -> T_BooleanAlgebra_682)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_BooleanAlgebra_682
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsBooleanAlgebra_3112
-> T_BooleanAlgebra_682
MAlonzo.Code.Algebra.Lattice.Bundles.C_BooleanAlgebra'46'constructor_11509
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
du_'8743''45''8744''45'isBooleanAlgebra_3410 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-identityʳ
d_'8743''45'identity'691'_3414 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8743''45'identity'691'_3414 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8743''45'identity'691'_3414 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 T_BooleanAlgebra_682
v2 AgdaAny
v3
du_'8743''45'identity'691'_3414 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 T_BooleanAlgebra_682
v0 AgdaAny
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v4)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      AgdaAny
v1
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         AgdaAny
v1
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v2 :: t
v2
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            AgdaAny
v1 AgdaAny
v1
            (let v2 :: AgdaAny -> AgdaAny
v2
                   = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                       ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                          (let v2 :: t
v2
                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                     ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
            (let v2 :: T_IsBooleanAlgebra_3112
v2
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v3 :: T_IsDistributiveLattice_3036
v3
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'absorbs'45''8744'_3014
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                     AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))))
         (let v2 :: T_IsBooleanAlgebra_3112
v2
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v3 :: T_IsDistributiveLattice_3036
v3
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                     (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'691'_3196
                        (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        AgdaAny
v1))))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-identityˡ
d_'8743''45'identity'737'_3418 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8743''45'identity'737'_3418 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8743''45'identity'737'_3418 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 T_BooleanAlgebra_682
v2
du_'8743''45'identity'737'_3418 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 T_BooleanAlgebra_682
v0
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'8743'id'691''8658'id'737'_346
      (let v1 :: t
v1
             = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
            ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-identity
d_'8743''45'identity_3420 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'identity_3420 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8743''45'identity_3420 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'identity_3420 T_BooleanAlgebra_682
v2
du_'8743''45'identity_3420 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'identity_3420 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'identity_3420 T_BooleanAlgebra_682
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-identityʳ
d_'8744''45'identity'691'_3422 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8744''45'identity'691'_3422 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8744''45'identity'691'_3422 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 T_BooleanAlgebra_682
v2 AgdaAny
v3
du_'8744''45'identity'691'_3422 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 T_BooleanAlgebra_682
v0 AgdaAny
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v4)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      AgdaAny
v1
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         AgdaAny
v1
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v2 :: t
v2
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            AgdaAny
v1 AgdaAny
v1
            (let v2 :: AgdaAny -> AgdaAny
v2
                   = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                       ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                          (let v2 :: t
v2
                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                     ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
            (let v2 :: T_IsBooleanAlgebra_3112
v2
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v3 :: T_IsDistributiveLattice_3036
v3
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'absorbs'45''8743'_3012
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                     AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))))
         (let v2 :: T_IsDistributiveLattice_3036
v2
                = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                    ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
               ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v2))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-identityˡ
d_'8744''45'identity'737'_3426 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8744''45'identity'737'_3426 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8744''45'identity'737'_3426 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 T_BooleanAlgebra_682
v2
du_'8744''45'identity'737'_3426 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 T_BooleanAlgebra_682
v0
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'8743'id'691''8658'id'737'_346
      (let v1 :: t
v1
             = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
            ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-identity
d_'8744''45'identity_3428 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'identity_3428 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8744''45'identity_3428 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'identity_3428 T_BooleanAlgebra_682
v2
du_'8744''45'identity_3428 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45'identity_3428 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'identity_3428 T_BooleanAlgebra_682
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-zeroʳ
d_'8743''45'zero'691'_3430 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8743''45'zero'691'_3430 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8743''45'zero'691'_3430 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 T_BooleanAlgebra_682
v2 AgdaAny
v3
du_'8743''45'zero'691'_3430 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 T_BooleanAlgebra_682
v0 AgdaAny
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v4)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v2 :: t
v2
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v2 :: t
v2
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v2 :: t
v2
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v2 :: t
v2
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (let v2 :: AgdaAny -> AgdaAny
v2
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v2 :: t
v2
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1))
               (let v2 :: T_IsBooleanAlgebra_3112
v2
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v3 :: T_IsDistributiveLattice_3036
v3
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                        ((T_Lattice_500 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'idem_3182
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                              ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))
            ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
               (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                  ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               AgdaAny
v1 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         (let v2 :: T_IsBooleanAlgebra_3112
v2
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v3 :: T_IsDistributiveLattice_3036
v3
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-zeroˡ
d_'8743''45'zero'737'_3434 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8743''45'zero'737'_3434 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8743''45'zero'737'_3434 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_3434 T_BooleanAlgebra_682
v2
du_'8743''45'zero'737'_3434 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8743''45'zero'737'_3434 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_3434 T_BooleanAlgebra_682
v0
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'8743'ze'691''8658'ze'737'_366
      (let v1 :: t
v1
             = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
            ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-zero
d_'8743''45'zero_3436 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'zero_3436 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8743''45'zero_3436 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'zero_3436 T_BooleanAlgebra_682
v2
du_'8743''45'zero_3436 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'zero_3436 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'zero_3436 T_BooleanAlgebra_682
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_3434 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-zeroʳ
d_'8744''45'zero'691'_3440 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8744''45'zero'691'_3440 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8744''45'zero'691'_3440 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 T_BooleanAlgebra_682
v2 AgdaAny
v3
du_'8744''45'zero'691'_3440 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 T_BooleanAlgebra_682
v0 AgdaAny
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v4)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v2 :: t
v2
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v2 :: t
v2
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v2 :: t
v2
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v2 :: t
v2
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (let v2 :: AgdaAny -> AgdaAny
v2
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v2 :: t
v2
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'691'_3196
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1))
               (let v2 :: T_IsBooleanAlgebra_3112
v2
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v3 :: T_IsDistributiveLattice_3036
v3
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                        ((T_Lattice_500 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'idem_3206
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                              ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))
            ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
               (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                  ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               AgdaAny
v1 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         (let v2 :: T_IsBooleanAlgebra_3112
v2
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v3 :: T_IsDistributiveLattice_3036
v3
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v2) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'691'_3196
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-zeroˡ
d_'8744''45'zero'737'_3444 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8744''45'zero'737'_3444 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8744''45'zero'737'_3444 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'737'_3444 T_BooleanAlgebra_682
v2
du_'8744''45'zero'737'_3444 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8744''45'zero'737'_3444 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'737'_3444 T_BooleanAlgebra_682
v0
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'8743'ze'691''8658'ze'737'_366
      (let v1 :: t
v1
             = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
            ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-zero
d_'8744''45'zero_3446 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'zero_3446 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8744''45'zero_3446 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'zero_3446 T_BooleanAlgebra_682
v2
du_'8744''45'zero_3446 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45'zero_3446 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'zero_3446 T_BooleanAlgebra_682
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'737'_3444 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-⊥-isMonoid
d_'8744''45''8869''45'isMonoid_3448 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
d_'8744''45''8869''45'isMonoid_3448 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMonoid_686
d_'8744''45''8869''45'isMonoid_3448 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8744''45''8869''45'isMonoid_3448 T_BooleanAlgebra_682
v2
du_'8744''45''8869''45'isMonoid_3448 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
du_'8744''45''8869''45'isMonoid_3448 :: T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8744''45''8869''45'isMonoid_3448 T_BooleanAlgebra_682
v0
  = (T_IsSemigroup_472 -> T_Σ_14 -> T_IsMonoid_686)
-> AgdaAny -> AgdaAny -> T_IsMonoid_686
forall a b. a -> b
coe
      T_IsSemigroup_472 -> T_Σ_14 -> T_IsMonoid_686
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_15873
      ((T_Lattice_500 -> T_IsSemigroup_472) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsSemigroup_472
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'isSemigroup_3212
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
            ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
      ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'identity_3428 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-⊤-isMonoid
d_'8743''45''8868''45'isMonoid_3450 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
d_'8743''45''8868''45'isMonoid_3450 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMonoid_686
d_'8743''45''8868''45'isMonoid_3450 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8743''45''8868''45'isMonoid_3450 T_BooleanAlgebra_682
v2
du_'8743''45''8868''45'isMonoid_3450 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
du_'8743''45''8868''45'isMonoid_3450 :: T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8743''45''8868''45'isMonoid_3450 T_BooleanAlgebra_682
v0
  = (T_IsSemigroup_472 -> T_Σ_14 -> T_IsMonoid_686)
-> AgdaAny -> AgdaAny -> T_IsMonoid_686
forall a b. a -> b
coe
      T_IsSemigroup_472 -> T_Σ_14 -> T_IsMonoid_686
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_15873
      ((T_Lattice_500 -> T_IsSemigroup_472) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_500 -> T_IsSemigroup_472
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'isSemigroup_3188
         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
            ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
      ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'identity_3420 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-⊥-isCommutativeMonoid
d_'8744''45''8869''45'isCommutativeMonoid_3452 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_736
d_'8744''45''8869''45'isCommutativeMonoid_3452 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
d_'8744''45''8869''45'isCommutativeMonoid_3452 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
du_'8744''45''8869''45'isCommutativeMonoid_3452 T_BooleanAlgebra_682
v2
du_'8744''45''8869''45'isCommutativeMonoid_3452 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_736
du_'8744''45''8869''45'isCommutativeMonoid_3452 :: T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
du_'8744''45''8869''45'isCommutativeMonoid_3452 T_BooleanAlgebra_682
v0
  = (T_IsMonoid_686
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_736)
-> AgdaAny -> AgdaAny -> T_IsCommutativeMonoid_736
forall a b. a -> b
coe
      T_IsMonoid_686
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_736
MAlonzo.Code.Algebra.Structures.C_IsCommutativeMonoid'46'constructor_17695
      ((T_BooleanAlgebra_682 -> T_IsMonoid_686) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8744''45''8869''45'isMonoid_3448 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-⊤-isCommutativeMonoid
d_'8743''45''8868''45'isCommutativeMonoid_3454 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_736
d_'8743''45''8868''45'isCommutativeMonoid_3454 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
d_'8743''45''8868''45'isCommutativeMonoid_3454 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
du_'8743''45''8868''45'isCommutativeMonoid_3454 T_BooleanAlgebra_682
v2
du_'8743''45''8868''45'isCommutativeMonoid_3454 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_736
du_'8743''45''8868''45'isCommutativeMonoid_3454 :: T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
du_'8743''45''8868''45'isCommutativeMonoid_3454 T_BooleanAlgebra_682
v0
  = (T_IsMonoid_686
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_736)
-> AgdaAny -> AgdaAny -> T_IsCommutativeMonoid_736
forall a b. a -> b
coe
      T_IsMonoid_686
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_736
MAlonzo.Code.Algebra.Structures.C_IsCommutativeMonoid'46'constructor_17695
      ((T_BooleanAlgebra_682 -> T_IsMonoid_686) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8743''45''8868''45'isMonoid_3450 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-∧-isSemiring
d_'8744''45''8743''45'isSemiring_3456 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570
d_'8744''45''8743''45'isSemiring_3456 :: () -> () -> T_BooleanAlgebra_682 -> T_IsSemiring_1570
d_'8744''45''8743''45'isSemiring_3456 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsSemiring_1570
du_'8744''45''8743''45'isSemiring_3456 T_BooleanAlgebra_682
v2
du_'8744''45''8743''45'isSemiring_3456 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570
du_'8744''45''8743''45'isSemiring_3456 :: T_BooleanAlgebra_682 -> T_IsSemiring_1570
du_'8744''45''8743''45'isSemiring_3456 T_BooleanAlgebra_682
v0
  = (T_IsSemiringWithoutAnnihilatingZero_1468
 -> T_Σ_14 -> T_IsSemiring_1570)
-> AgdaAny -> AgdaAny -> T_IsSemiring_1570
forall a b. a -> b
coe
      T_IsSemiringWithoutAnnihilatingZero_1468
-> T_Σ_14 -> T_IsSemiring_1570
MAlonzo.Code.Algebra.Structures.C_IsSemiring'46'constructor_48071
      ((T_IsCommutativeMonoid_736
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_IsSemiringWithoutAnnihilatingZero_1468)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsCommutativeMonoid_736
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_IsSemiringWithoutAnnihilatingZero_1468
MAlonzo.Code.Algebra.Structures.C_IsSemiringWithoutAnnihilatingZero'46'constructor_43811
         ((T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
du_'8744''45''8869''45'isCommutativeMonoid_3452 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
            ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
         ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
            ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
         ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'identity_3420 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         ((T_IsDistributiveLattice_3036 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_Σ_14
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'distrib'45''8744'_3052
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'zero_3436 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-∨-isSemiring
d_'8743''45''8744''45'isSemiring_3458 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570
d_'8743''45''8744''45'isSemiring_3458 :: () -> () -> T_BooleanAlgebra_682 -> T_IsSemiring_1570
d_'8743''45''8744''45'isSemiring_3458 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsSemiring_1570
du_'8743''45''8744''45'isSemiring_3458 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'isSemiring_3458 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1570
du_'8743''45''8744''45'isSemiring_3458 :: T_BooleanAlgebra_682 -> T_IsSemiring_1570
du_'8743''45''8744''45'isSemiring_3458 T_BooleanAlgebra_682
v0
  = (T_IsSemiringWithoutAnnihilatingZero_1468
 -> T_Σ_14 -> T_IsSemiring_1570)
-> AgdaAny -> AgdaAny -> T_IsSemiring_1570
forall a b. a -> b
coe
      T_IsSemiringWithoutAnnihilatingZero_1468
-> T_Σ_14 -> T_IsSemiring_1570
MAlonzo.Code.Algebra.Structures.C_IsSemiring'46'constructor_48071
      ((T_IsCommutativeMonoid_736
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_IsSemiringWithoutAnnihilatingZero_1468)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsCommutativeMonoid_736
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_IsSemiringWithoutAnnihilatingZero_1468
MAlonzo.Code.Algebra.Structures.C_IsSemiringWithoutAnnihilatingZero'46'constructor_43811
         ((T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsCommutativeMonoid_736
du_'8743''45''8868''45'isCommutativeMonoid_3454 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
            ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
         ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
            ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
         ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'identity_3428 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         ((T_IsDistributiveLattice_3036 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_Σ_14
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'distrib'45''8743'_3050
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8744''45'zero_3446 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-∧-isCommutativeSemiring
d_'8744''45''8743''45'isCommutativeSemiring_3460 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1678
d_'8744''45''8743''45'isCommutativeSemiring_3460 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
d_'8744''45''8743''45'isCommutativeSemiring_3460 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
du_'8744''45''8743''45'isCommutativeSemiring_3460 T_BooleanAlgebra_682
v2
du_'8744''45''8743''45'isCommutativeSemiring_3460 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1678
du_'8744''45''8743''45'isCommutativeSemiring_3460 :: T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
du_'8744''45''8743''45'isCommutativeSemiring_3460 T_BooleanAlgebra_682
v0
  = (T_IsSemiring_1570
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1678)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678
forall a b. a -> b
coe
      T_IsSemiring_1570
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1678
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemiring'46'constructor_51895
      ((T_BooleanAlgebra_682 -> T_IsSemiring_1570) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsSemiring_1570
du_'8744''45''8743''45'isSemiring_3456 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-∨-isCommutativeSemiring
d_'8743''45''8744''45'isCommutativeSemiring_3462 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1678
d_'8743''45''8744''45'isCommutativeSemiring_3462 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
d_'8743''45''8744''45'isCommutativeSemiring_3462 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
du_'8743''45''8744''45'isCommutativeSemiring_3462 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'isCommutativeSemiring_3462 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1678
du_'8743''45''8744''45'isCommutativeSemiring_3462 :: T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
du_'8743''45''8744''45'isCommutativeSemiring_3462 T_BooleanAlgebra_682
v0
  = (T_IsSemiring_1570
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1678)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1678
forall a b. a -> b
coe
      T_IsSemiring_1570
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1678
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemiring'46'constructor_51895
      ((T_BooleanAlgebra_682 -> T_IsSemiring_1570) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsSemiring_1570
du_'8743''45''8744''45'isSemiring_3458 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.∨-∧-commutativeSemiring
d_'8744''45''8743''45'commutativeSemiring_3464 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2446
d_'8744''45''8743''45'commutativeSemiring_3464 :: () -> () -> T_BooleanAlgebra_682 -> T_CommutativeSemiring_2446
d_'8744''45''8743''45'commutativeSemiring_3464 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_CommutativeSemiring_2446
du_'8744''45''8743''45'commutativeSemiring_3464 T_BooleanAlgebra_682
v2
du_'8744''45''8743''45'commutativeSemiring_3464 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2446
du_'8744''45''8743''45'commutativeSemiring_3464 :: T_BooleanAlgebra_682 -> T_CommutativeSemiring_2446
du_'8744''45''8743''45'commutativeSemiring_3464 T_BooleanAlgebra_682
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsCommutativeSemiring_1678
 -> T_CommutativeSemiring_2446)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_CommutativeSemiring_2446
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsCommutativeSemiring_1678
-> T_CommutativeSemiring_2446
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemiring'46'constructor_44731
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
du_'8744''45''8743''45'isCommutativeSemiring_3460 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.∧-∨-commutativeSemiring
d_'8743''45''8744''45'commutativeSemiring_3466 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2446
d_'8743''45''8744''45'commutativeSemiring_3466 :: () -> () -> T_BooleanAlgebra_682 -> T_CommutativeSemiring_2446
d_'8743''45''8744''45'commutativeSemiring_3466 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_CommutativeSemiring_2446
du_'8743''45''8744''45'commutativeSemiring_3466 T_BooleanAlgebra_682
v2
du_'8743''45''8744''45'commutativeSemiring_3466 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2446
du_'8743''45''8744''45'commutativeSemiring_3466 :: T_BooleanAlgebra_682 -> T_CommutativeSemiring_2446
du_'8743''45''8744''45'commutativeSemiring_3466 T_BooleanAlgebra_682
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsCommutativeSemiring_1678
 -> T_CommutativeSemiring_2446)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_CommutativeSemiring_2446
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsCommutativeSemiring_1678
-> T_CommutativeSemiring_2446
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemiring'46'constructor_44731
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_IsCommutativeSemiring_1678
du_'8743''45''8744''45'isCommutativeSemiring_3462 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
-- Algebra.Lattice.Properties.BooleanAlgebra.lemma
d_lemma_3472 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lemma_3472 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lemma_3472 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 = T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_lemma_3472 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 :: T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v7)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         AgdaAny
v2
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
            AgdaAny
v2
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
               AgdaAny
v2
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v5 :: t
v5
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                  AgdaAny
v2
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v5 :: t
v5
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                     (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                        ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v5 :: t
v5
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                     AgdaAny
v2
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                           ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v5 :: t
v5
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                        (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                           ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v5 :: t
v5
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                           AgdaAny
v2)
                        AgdaAny
v2
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                              ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                    (let v5 :: t
v5
                                           = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                          ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                              AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v2)
                           AgdaAny
v2
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                              (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                 ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                    ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                       (let v5 :: t
v5
                                              = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                             ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v2)
                              AgdaAny
v2 AgdaAny
v2
                              (let v5 :: AgdaAny -> AgdaAny
v5
                                     = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                         ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                            T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                            (let v5 :: t
v5
                                                   = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                       T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                             AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                  T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                  ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                     T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                                    (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                                       ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5))
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           (let v5 :: T_IsDistributiveLattice_3036
v5
                                  = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                      ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                    (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                                 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                                 ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                                 ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'691'_3196
                                    (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                                    AgdaAny
v1))))
                        (let v5 :: T_IsBooleanAlgebra_3112
v5
                               = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                   (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'691''45''8744'_3100
                              (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5))
                              AgdaAny
v2 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))))
                     (let v5 :: T_IsBooleanAlgebra_3112
v5
                            = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (let v6 :: T_IsDistributiveLattice_3036
v6
                               = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                   (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                              ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                              ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
                  (let v5 :: T_IsDistributiveLattice_3036
v5
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'737'_3198
                           (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           AgdaAny
v1))))
               (let v5 :: T_IsBooleanAlgebra_3112
v5
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'737''45''8744'_3098
                     (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1
                     AgdaAny
v2)))
            (let v5 :: T_IsBooleanAlgebra_3112
v5
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v6 :: T_IsDistributiveLattice_3036
v6
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
-- Algebra.Lattice.Properties.BooleanAlgebra.⊥≉⊤
d_'8869''8777''8868'_3482 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny
d_'8869''8777''8868'_3482 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny
d_'8869''8777''8868'_3482 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny
du_'8869''8777''8868'_3482 T_BooleanAlgebra_682
v2
du_'8869''8777''8868'_3482 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny
du_'8869''8777''8868'_3482 :: T_BooleanAlgebra_682 -> AgdaAny
du_'8869''8777''8868'_3482 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
         ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
         ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
-- Algebra.Lattice.Properties.BooleanAlgebra.⊤≉⊥
d_'8868''8777''8869'_3484 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny
d_'8868''8777''8869'_3484 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny
d_'8868''8777''8869'_3484 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny
du_'8868''8777''8869'_3484 T_BooleanAlgebra_682
v2
du_'8868''8777''8869'_3484 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny
du_'8868''8777''8869'_3484 :: T_BooleanAlgebra_682 -> AgdaAny
du_'8868''8777''8869'_3484 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
         ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
         ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
-- Algebra.Lattice.Properties.BooleanAlgebra.¬-involutive
d_'172''45'involutive_3486 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'172''45'involutive_3486 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'172''45'involutive_3486 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 T_BooleanAlgebra_682
v2 AgdaAny
v3
du_'172''45'involutive_3486 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'172''45'involutive_3486 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 T_BooleanAlgebra_682
v0 AgdaAny
v1
  = (T_BooleanAlgebra_682
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
      ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'737'_3198
         (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
            (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         AgdaAny
v1)
      ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'737'_3194
         (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
            (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         AgdaAny
v1)
-- Algebra.Lattice.Properties.BooleanAlgebra.deMorgan₁
d_deMorgan'8321'_3494 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8321'_3494 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8321'_3494 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
du_deMorgan'8321'_3494 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = (T_BooleanAlgebra_682
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_3472 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3504 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3508 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra._.lem₁
d_lem'8321'_3504 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_3504 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_3504 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3504 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
du_lem'8321'_3504 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3504 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3504 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v3 :: t
v3
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                           ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v3 :: t
v3
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        (let v3 :: AgdaAny -> AgdaAny
v3
                               = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                   ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                      T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                      (let v3 :: t
v3
                                             = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                       AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                            ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                              (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                                 ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                              ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_3422 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                           ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
                        ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                           (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                              ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                              (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
                  ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                     (let v3 :: T_IsDistributiveLattice_3036
v3
                            = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                           ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                           ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                              (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              AgdaAny
v1)))
                     ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     (let v3 :: T_IsDistributiveLattice_3036
v3
                            = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                           ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                              (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              AgdaAny
v2)))))
               ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v2 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v1 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
            (let v3 :: T_IsDistributiveLattice_3036
v3
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                     (\ AgdaAny
v4 ->
                        (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     (\ AgdaAny
v4 AgdaAny
v5 -> AgdaAny
v4)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1))
                  (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                     (\ AgdaAny
v4 AgdaAny
v5 -> AgdaAny
v5)
                     (\ AgdaAny
v4 ->
                        (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1))
                  (let v4 :: T_IsDistributiveLattice_3036
v4
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v4))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
                        ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                           (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                              ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                           AgdaAny
v1 AgdaAny
v2))))))
         (let v3 :: T_IsBooleanAlgebra_3112
v3
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'737''45''8744'_3098
               (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra._.lem₃
d_lem'8323'_3506 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_3506 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_3506 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3506 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
du_lem'8323'_3506 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3506 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3506 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  (let v3 :: AgdaAny -> AgdaAny
v3
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v3 :: t
v3
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)))
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v2 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))))
            (let v3 :: T_IsDistributiveLattice_3036
v3
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'691'_3196
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1))))
         (let v3 :: T_IsBooleanAlgebra_3112
v3
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'691''45''8743'_3096
               (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1
               AgdaAny
v2)))
-- Algebra.Lattice.Properties.BooleanAlgebra._.lem₂
d_lem'8322'_3508 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_3508 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_3508 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3508 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
du_lem'8322'_3508 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3508 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3508 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v3 :: t
v3
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     (let v3 :: AgdaAny -> AgdaAny
v3
                            = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                   T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                   (let v3 :: t
v3
                                          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                    AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                           (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                              ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_3440 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
                  (let v3 :: T_IsDistributiveLattice_3036
v3
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'691'_3196
                           (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           AgdaAny
v2))))
               ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            (let v3 :: T_IsBooleanAlgebra_3112
v3
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v4 :: T_IsDistributiveLattice_3036
v4
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v3) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3506 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))))
         ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
            (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
-- Algebra.Lattice.Properties.BooleanAlgebra.deMorgan₂
d_deMorgan'8322'_3514 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8322'_3514 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8322'_3514 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_3514 T_BooleanAlgebra_682
v2 AgdaAny
v3 AgdaAny
v4
du_deMorgan'8322'_3514 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_3514 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_3514 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               (let v3 :: AgdaAny -> AgdaAny
v3
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v3 :: t
v3
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
            ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
               (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
         ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
            (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
               (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))
               ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._⊕_
d__'8853'__3530 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d__'8853'__3530 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d__'8853'__3530 ~T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 ~AgdaAny -> AgdaAny -> AgdaAny
v2 = (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du__'8853'__3530 AgdaAny -> AgdaAny -> AgdaAny
v1
du__'8853'__3530 ::
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du__'8853'__3530 :: (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du__'8853'__3530 AgdaAny -> AgdaAny -> AgdaAny
v0 = (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v0
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.helper
d_helper_3540 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_helper_3540 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_helper_3540 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_helper_3540 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_helper_3540 :: T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = (AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
      ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
         (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
         AgdaAny
v1 AgdaAny
v2
         (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v7) AgdaAny
v3 AgdaAny
v4)
         (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
            (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v8)
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3
            AgdaAny
v4))
      ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
         (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
            (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         AgdaAny
v3 AgdaAny
v4 AgdaAny
v6)
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-cong
d_'8853''45'cong_3546 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'cong_3546 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'cong_3546 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_'8853''45'cong_3546 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'cong_3546 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v9 AgdaAny
v10 AgdaAny
v11 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v11)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v9 :: t
v9
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9)))))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v9 :: t
v9
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v6)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v6)))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v9 :: t
v9
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9)))))))
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v9 :: t
v9
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v6)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v6)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
               (let v9 :: AgdaAny -> AgdaAny
v9
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v9 :: t
v9
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v9))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v6))
            ((T_BooleanAlgebra_682
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v6)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v6)
               ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7)
                  ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v8))
               ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7)
                  ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v8))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v5))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-comm
d_'8853''45'comm_3560 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'comm_3560 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'comm_3560 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'8853''45'comm_3560 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_3560 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v7)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3)
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3)
               (let v5 :: AgdaAny -> AgdaAny
v5
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v5 :: t
v5
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v3))
            ((T_BooleanAlgebra_682
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)
               ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  AgdaAny
v3 AgdaAny
v4)
               ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  AgdaAny
v3 AgdaAny
v4)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.¬-distribˡ-⊕
d_'172''45'distrib'737''45''8853'_3570 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'737''45''8853'_3570 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'172''45'distrib'737''45''8853'_3570 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_3570 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'172''45'distrib'737''45''8853'_3570 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_3570 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_3570 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v7)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
         AgdaAny
v4)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
            AgdaAny
v4)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
               AgdaAny
v4)
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                  AgdaAny
v4)
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v5 :: t
v5
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                     AgdaAny
v4)
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v5 :: t
v5
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                        AgdaAny
v4)
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                           ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v5 :: t
v5
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                           AgdaAny
v4)
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                              ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                    (let v5 :: t
v5
                                           = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                          ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3) AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    AgdaAny
v4)))
                           ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                              AgdaAny
v4)
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                              (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                 ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                    ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                       (let v5 :: t
v5
                                              = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                             ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
                              (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                                 ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                    T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                    (let v5 :: t
v5
                                           = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                          ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       AgdaAny
v4)))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 AgdaAny
v4)
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 AgdaAny
v4)
                              (let v5 :: AgdaAny -> AgdaAny
v5
                                     = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                         ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                            T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                            (let v5 :: t
v5
                                                   = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                       T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                             AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                  T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                  ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                     T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                                    (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                                       ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5))
                                    ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       AgdaAny -> AgdaAny -> AgdaAny
v1
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       AgdaAny
v4)))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 AgdaAny -> AgdaAny -> AgdaAny
v2 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 AgdaAny
v4))
                           ((T_BooleanAlgebra_682
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                              (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                                 (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                 AgdaAny
v4)
                              (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                                 (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3) AgdaAny
v4)
                              (let v5 :: T_IsDistributiveLattice_3036
v5
                                     = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                         ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
                                    ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                       (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))
                              ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                                 (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                                 AgdaAny
v4 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                        (let v5 :: T_IsDistributiveLattice_3036
v5
                               = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                   ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                              ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_3514 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                  ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                     ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_3584 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                        ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                           (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                              ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_3584 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
               ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
                  (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))))
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                     (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                        (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
                     (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                        (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))))
                  (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))))
                     (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                        (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
                     (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                        (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))))
                  (let v5 :: T_IsDistributiveLattice_3036
v5
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                           (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v6)
                           (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                              (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v6)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                           (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v7)
                              (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v7)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                           (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                              (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v6)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                           (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v7)
                              (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)))
                        (let v6 :: T_IsDistributiveLattice_3036
v6
                               = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                   ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                              ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                              (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                              (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                                 (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                                 (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v7)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                              (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                                 (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v8)
                                 (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3))
                              ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
                                 (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v3)
                                 ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                                    (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                       ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                          T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                          ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                                    AgdaAny
v3 AgdaAny
v4))))))))
            ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
               (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))))
               (let v5 :: T_IsBooleanAlgebra_3112
v5
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'691''45''8744'_3100
                     (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))
                     AgdaAny
v3 AgdaAny
v4))))
         ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
            (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
               (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4)))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem
d_lem_3584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem_3584 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem_3584 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 ~AgdaAny
v5 ~AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_3584 T_BooleanAlgebra_682
v2 AgdaAny
v7 AgdaAny
v8
du_lem_3584 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem_3584 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_3584 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  (let v3 :: AgdaAny -> AgdaAny
v3
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v3 :: t
v3
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
               (let v3 :: T_IsDistributiveLattice_3036
v3
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                        (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        AgdaAny
v1))))
            (let v3 :: T_IsBooleanAlgebra_3112
v3
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'737''45''8744'_3098
                  (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v3))
                  AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))))
         (let v3 :: T_IsDistributiveLattice_3036
v3
                = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                    ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
               ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.¬-distribʳ-⊕
d_'172''45'distrib'691''45''8853'_3594 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'691''45''8853'_3594 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'172''45'distrib'691''45''8853'_3594 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_3594 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'172''45'distrib'691''45''8853'_3594 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_3594 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_3594 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v7)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
               AgdaAny
v3)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                  AgdaAny
v3)
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
               (let v5 :: AgdaAny -> AgdaAny
v5
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v5 :: t
v5
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))))
               ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
            ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_3570 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
         ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
            (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
               (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v3)
            ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-annihilates-¬
d_'8853''45'annihilates'45''172'_3604 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'annihilates'45''172'_3604 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'annihilates'45''172'_3604 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'annihilates'45''172'_3604 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'8853''45'annihilates'45''172'_3604 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_3604 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'annihilates'45''172'_3604 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v7)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                  AgdaAny
v4))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                     AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
               (let v5 :: AgdaAny -> AgdaAny
v5
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v5 :: t
v5
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))))
               ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_3594 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))
            ((T_IsBooleanAlgebra_3112
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'172''45'cong_3138
               (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                  AgdaAny
v4)
               ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_3570 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-identityˡ
d_'8853''45'identity'737'_3610 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'identity'737'_3610 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'identity'737'_3610 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_3610 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'identity'737'_3610 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'identity'737'_3610 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_3610 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny
v1 (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
      AgdaAny
v3
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)))
         AgdaAny
v3
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
            AgdaAny
v3
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
               AgdaAny
v3
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v4 :: t
v4
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                  AgdaAny
v3 AgdaAny
v3
                  (let v4 :: AgdaAny -> AgdaAny
v4
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v4 :: t
v4
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
               (let v4 :: T_IsBooleanAlgebra_3112
v4
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v5 :: T_IsDistributiveLattice_3036
v5
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
du_'8869''8777''8868'_3482 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))))
            ((T_BooleanAlgebra_682
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 T_BooleanAlgebra_682
v0 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_3434 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v2 (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            AgdaAny
v3))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-identityʳ
d_'8853''45'identity'691'_3614 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'identity'691'_3614 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'identity'691'_3614 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_3614 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'identity'691'_3614 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'identity'691'_3614 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_3614 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
            ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) AgdaAny
v3)
         AgdaAny
v3)
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_3610 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2)
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-identity
d_'8853''45'identity_3616 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'identity_3616 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8853''45'identity_3616 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_3616 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'identity_3616 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'identity_3616 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_3616 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_3610 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_3614 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-inverseˡ
d_'8853''45'inverse'737'_3618 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'inverse'737'_3618 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'inverse'737'_3618 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_3618 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'inverse'737'_3618 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_3618 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_3618 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v3)
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v3)))
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v3)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               (let v4 :: AgdaAny -> AgdaAny
v4
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v4 :: t
v4
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                  (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  AgdaAny
v3))
            ((T_BooleanAlgebra_682
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((T_Lattice_500 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8744''45'idem_3206
                  ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                     ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
               ((T_Lattice_500 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'idem_3182
                  ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                     ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v3))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-inverseʳ
d_'8853''45'inverse'691'_3622 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'inverse'691'_3622 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'inverse'691'_3622 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_3622 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'inverse'691'_3622 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_3622 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_3622 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
            ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v3)
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_3618 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-inverse
d_'8853''45'inverse_3624 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'inverse_3624 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8853''45'inverse_3624 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_3624 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'inverse_3624 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'inverse_3624 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_3624 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_3618 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_3622 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.∧-distribˡ-⊕
d_'8743''45'distrib'737''45''8853'_3626 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8853'_3626 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'737''45''8853'_3626 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_3626 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_'8743''45'distrib'737''45''8853'_3626 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_3626 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_3626 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v8)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny
v1
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v6 :: t
v6
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v6 :: t
v6
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v6 :: t
v6
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v6 :: t
v6
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v6 :: t
v6
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                  (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                     ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v6 :: t
v6
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v6 :: t
v6
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> AgdaAny -> AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                           ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v6 :: t
v6
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                        (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                           ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v6 :: t
v6
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           AgdaAny -> AgdaAny -> AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                              ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                    (let v6 :: t
v6
                                           = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                          ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                           (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                              ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v6 :: t
v6
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                       AgdaAny
v5))))
                           ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              AgdaAny -> AgdaAny -> AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                              (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                 ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                    ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                       (let v6 :: t
v6
                                              = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                             ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                              (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                                 ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                    T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                    (let v6 :: t
v6
                                           = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                          ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 AgdaAny -> AgdaAny -> AgdaAny
v1
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                              (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                                 (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                    ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                       ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                          (let v6 :: t
v6
                                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4 AgdaAny
v5))))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v5))))
                                 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    AgdaAny -> AgdaAny -> AgdaAny
v1
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       AgdaAny
v5))
                                 (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                                    (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                       ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                          ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                             (let v6 :: t
v6
                                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4 AgdaAny
v5))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v5))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))))
                                    ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       AgdaAny -> AgdaAny -> AgdaAny
v1
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v5))
                                    (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                                       (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                          ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                             ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                                (let v6 :: t
v6
                                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                                       (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                             (let v6 :: t
v6
                                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))))
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          AgdaAny -> AgdaAny -> AgdaAny
v1
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v5))
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          AgdaAny -> AgdaAny -> AgdaAny
v1
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v5))
                                       (let v6 :: AgdaAny -> AgdaAny
v6
                                              = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                                     (let v6 :: t
v6
                                                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                              (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                                             (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                                                ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v6))
                                             ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                AgdaAny -> AgdaAny -> AgdaAny
v1
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))))
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          AgdaAny -> AgdaAny -> AgdaAny
v2
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v5)))
                                    (let v6 :: T_IsDistributiveLattice_3036
v6
                                           = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                                          ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                             (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5)))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708
                                                T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v5))
                                          (let v7 :: T_IsBooleanAlgebra_3112
v7
                                                 = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                                     (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                                T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'737''45''8744'_3098
                                                (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                                   (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v7))
                                                AgdaAny
v3 AgdaAny
v4 AgdaAny
v5)))))
                                 ((T_BooleanAlgebra_682
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_3540 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v5))
                                    ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                       (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                                          ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                                             T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                             ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                                ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4 AgdaAny
v5)))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3640 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))
                              (let v6 :: T_IsBooleanAlgebra_3112
v6
                                     = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                         (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (let v7 :: T_IsDistributiveLattice_3036
v7
                                        = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                            (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v6) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                                       ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                          (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v7))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4 AgdaAny
v5))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4 AgdaAny
v5))))))
                           (let v6 :: T_IsDistributiveLattice_3036
v6
                                  = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                      ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                    (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                       AgdaAny
v5))
                                 (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                                    (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v7)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                                 (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                                    (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v8)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                          AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                                 (let v7 :: T_IsBooleanAlgebra_3112
v7
                                        = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                            (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    (let v8 :: T_IsDistributiveLattice_3036
v8
                                           = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                               (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v7) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
                                          ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                             (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v8))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v4)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v5))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))))))
                        (let v6 :: T_IsBooleanAlgebra_3112
v6
                               = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                   (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'distrib'737''45''8744'_3098
                              (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v6))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
                     (let v6 :: T_IsBooleanAlgebra_3112
v6
                            = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (let v7 :: T_IsDistributiveLattice_3036
v7
                               = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                   (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v6) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                              ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v7))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                              ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3642 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_3426 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
               (let v6 :: T_IsDistributiveLattice_3036
v6
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)))))
            ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
               (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                  ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
         (let v6 :: T_IsDistributiveLattice_3036
v6
                = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                    ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
               ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v5))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₂
d_lem'8322'_3638 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_3638 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8322'_3638 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3638 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8322'_3638 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3638 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3638 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
                  AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
               (let v4 :: AgdaAny -> AgdaAny
v4
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v4 :: t
v4
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))))
               ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  AgdaAny
v2 AgdaAny
v1 AgdaAny
v3))
            (let v4 :: T_IsDistributiveLattice_3036
v4
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v4))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v1)
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v1 AgdaAny
v2))))
         ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
            (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
            AgdaAny
v1 AgdaAny
v2 AgdaAny
v3))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₁
d_lem'8321'_3640 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_3640 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8321'_3640 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3640 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8321'_3640 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3640 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3640 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v4 :: t
v4
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
                  (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                     ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
                  (let v4 :: AgdaAny -> AgdaAny
v4
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v4 :: t
v4
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))))
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v1 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)))
               (let v4 :: T_IsBooleanAlgebra_3112
v4
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v5 :: T_IsDistributiveLattice_3036
v5
                         = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                             (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                        ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3638 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))))))
            ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
               (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                  ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               AgdaAny
v1 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))
         (let v4 :: T_IsBooleanAlgebra_3112
v4
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v5 :: T_IsDistributiveLattice_3036
v5
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v1)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_Lattice_500 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Properties.Lattice.du_'8743''45'idem_3182
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                        ((T_BooleanAlgebra_682 -> T_DistributiveLattice_584)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₃
d_lem'8323'_3642 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_3642 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8323'_3642 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3642 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8323'_3642 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3642 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3642 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
         (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
            (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                     AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v4 :: t
v4
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                        AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                  (let v4 :: AgdaAny -> AgdaAny
v4
                         = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                             ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                (let v4 :: t
v4
                                       = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                           T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                      ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                           ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))))
                  (let v4 :: T_IsBooleanAlgebra_3112
v4
                         = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                             (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (let v5 :: T_IsDistributiveLattice_3036
v5
                            = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                           ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                              AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                           ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                              (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                 ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                    T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                    ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                              AgdaAny
v1)))))
               ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)))
            (let v4 :: T_IsBooleanAlgebra_3112
v4
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsDistributiveLattice_3036
v5
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'complement'691'_3200
                        (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        AgdaAny
v1)))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_3430 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.∧-distribʳ-⊕
d_'8743''45'distrib'691''45''8853'_3644 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'691''45''8853'_3644 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'691''45''8853'_3644 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_3644 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8743''45'distrib'691''45''8853'_3644 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_3644 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_3644 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_Setoid_44
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'8743'distr'737''8658'distr'691'_504
      (let v3 :: t
v3
             = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
            ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_3626 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.∧-distrib-⊕
d_'8743''45'distrib'45''8853'_3646 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'distrib'45''8853'_3646 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8743''45'distrib'45''8853'_3646 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_3646 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8743''45'distrib'45''8853'_3646 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'distrib'45''8853'_3646 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_3646 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_3626 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_3644 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.lemma₂
d_lemma'8322'_3656 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lemma'8322'_3656 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lemma'8322'_3656 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_3656 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_lemma'8322'_3656 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_3656 :: T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_3656 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v7)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v4)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v4)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               AgdaAny
v4))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v4)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v4)))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  AgdaAny
v4))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v4)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v4)))
            (let v5 :: AgdaAny -> AgdaAny
v5
                   = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                       ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                          (let v5 :: t
v5
                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                     ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v4)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v4)))))
            ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
               (let v5 :: T_IsBooleanAlgebra_3112
v5
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'691''45''8743'_3096
                     (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5))
                     AgdaAny
v3 AgdaAny
v1 AgdaAny
v2))
               ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v4)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v4)))
               (let v5 :: T_IsBooleanAlgebra_3112
v5
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'691''45''8743'_3096
                     (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5))
                     AgdaAny
v4 AgdaAny
v1 AgdaAny
v2))))
         (let v5 :: T_IsBooleanAlgebra_3112
v5
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'737''45''8743'_3094
               (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               AgdaAny
v3 AgdaAny
v4)))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-assoc
d_'8853''45'assoc_3666 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'assoc_3666 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'assoc_3666 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_3666 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_'8853''45'assoc_3666 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_3666 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_3666 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
         (\ AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 ->
            (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v8)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v6 :: t
v6
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v6 :: t
v6
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v6 :: t
v6
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                    AgdaAny
v5))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3) AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v6 :: t
v6
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                              AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3) AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    AgdaAny
v4)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                           ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v6 :: t
v6
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                              AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                        (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                              ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                    (let v6 :: t
v6
                                           = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                               (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                          ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                           (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                              ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                 (let v6 :: t
v6
                                        = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                            (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                       ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                          (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          AgdaAny
v5)))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                    AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    AgdaAny
v5))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))))
                           ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                           (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                              (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                 ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                    ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                       (let v6 :: t
v6
                                              = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                             ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       AgdaAny
v5)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          AgdaAny
v5))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)))
                                    AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                                       AgdaAny
v5)))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                              (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                                 (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                    ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                       ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                          (let v6 :: t
v6
                                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                                 (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                                    ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                       T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                       (let v6 :: t
v6
                                              = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                             ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                                       AgdaAny
v5)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                   T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                                          AgdaAny
v5)))
                                 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    AgdaAny -> AgdaAny -> AgdaAny
v1
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)))
                                    AgdaAny
v5)
                                 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                                 (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                                    (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                                       ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                                          ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                             (let v6 :: t
v6
                                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6)))))))
                                    (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                                       ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                          (let v6 :: t
v6
                                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))))
                                    ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       AgdaAny -> AgdaAny -> AgdaAny
v1
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                                       AgdaAny
v5)
                                    ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                                    (let v6 :: AgdaAny -> AgdaAny
v6
                                           = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                                  (let v6 :: t
v6
                                                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                                          (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                                             ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v6))
                                          ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)))
                                    ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2)
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4)
                                       ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                          (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                                             ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                                                T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                                ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                                   ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
                                          AgdaAny
v5)))
                                 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    AgdaAny -> AgdaAny -> AgdaAny
v2
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)))
                                    AgdaAny
v5))
                              ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                                 (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       AgdaAny
v5)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)))
                                    AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          AgdaAny
v4)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710
                                                T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)))
                                       AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3678 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3682 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))
                           ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                              (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                 ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                    T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                    ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                       AgdaAny
v4)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
                        (let v6 :: T_IsBooleanAlgebra_3112
v6
                               = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                   (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (let v7 :: T_IsDistributiveLattice_3036
v7
                                  = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                      (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v6) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                                    (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v7))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                                    AgdaAny
v5)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v3)
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v4))
                                          AgdaAny
v5)
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v3)
                                             AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v5))))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v4))
                                       AgdaAny
v5)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             AgdaAny
v3
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v4))
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v5))
                                       ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                             ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                                AgdaAny
v3)
                                             AgdaAny
v4)
                                          ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                             AgdaAny
v5))))
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_3690 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))))
                     ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                              AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3) AgdaAny
v4)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))))
                  ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3 AgdaAny
v4)
                           AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4
                                    AgdaAny
v5)))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v4))
                           AgdaAny
v5)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3) AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v5)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3684 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_3688 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))))
            ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v4 AgdaAny
v5)))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
                  AgdaAny
v3)
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v5))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₁
d_lem'8321'_3678 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_3678 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8321'_3678 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3678 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8321'_3678 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3678 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_3678 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            AgdaAny
v3))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
         AgdaAny
v3)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
            AgdaAny
v3)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
               AgdaAny
v3)
            (let v4 :: AgdaAny -> AgdaAny
v4
                   = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                       ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                          T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                          (let v4 :: t
v4
                                 = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                     T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                           AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                     ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                     AgdaAny
v3)))
            (let v4 :: T_IsDistributiveLattice_3036
v4
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v4))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                  (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                  (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                  (let v5 :: T_IsBooleanAlgebra_3112
v5
                         = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                             (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (let v6 :: T_IsDistributiveLattice_3036
v6
                            = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v5) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                           ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v6))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))))))
         (let v4 :: T_IsBooleanAlgebra_3112
v4
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'691''45''8743'_3096
               (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4))
               AgdaAny
v3
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₂′
d_lem'8322''8242'_3680 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322''8242'_3680 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8322''8242'_3680 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ~AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_3680 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6
du_lem'8322''8242'_3680 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_3680 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_3680 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
               ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                  (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                     ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v3 :: t
v3
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                     (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                        ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                     (let v3 :: AgdaAny -> AgdaAny
v3
                            = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                   T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                   (let v3 :: t
v3
                                          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                    AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                           (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                              ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
                                       AgdaAny
v2))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                  ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_3514 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
               ((T_BooleanAlgebra_682
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_3656 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))
            ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
               (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                  ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
               (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                  (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
               (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                  (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
               ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                  (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'737'_3194
                     (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                        (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     AgdaAny
v1)
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
               (let v3 :: T_IsDistributiveLattice_3036
v3
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                     ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'737'_3194
                        (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        AgdaAny
v2)))))
         ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
            (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  AgdaAny
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₂
d_lem'8322'_3682 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_3682 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8322'_3682 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3682 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8322'_3682 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3682 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_3682 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
            AgdaAny
v3))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
               AgdaAny
v3))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                  AgdaAny
v3))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                     AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                     AgdaAny
v3))
               (let v4 :: AgdaAny -> AgdaAny
v4
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v4 :: t
v4
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                           AgdaAny
v3))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
            (let v4 :: T_IsBooleanAlgebra_3112
v4
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsDistributiveLattice_3036
v5
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'691'_3028
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_3680 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))))
         (let v4 :: T_IsBooleanAlgebra_3112
v4
                = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                    (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'691''45''8743'_3096
               (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  AgdaAny
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₃
d_lem'8323'_3684 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_3684 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8323'_3684 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3684 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8323'_3684 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3684 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_3684 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                  AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               (let v4 :: AgdaAny -> AgdaAny
v4
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v4 :: t
v4
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                           AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))))
               ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v1 AgdaAny
v2 AgdaAny
v3)
                  ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                        AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     AgdaAny
v1 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
            (let v4 :: T_IsBooleanAlgebra_3112
v4
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'737''45''8743'_3094
                  (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                     (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4))
                  AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))))
         (let v4 :: T_IsDistributiveLattice_3036
v4
                = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                    ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
               ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v4))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
               (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                  (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               (let v5 :: T_IsDistributiveLattice_3036
v5
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₄′
d_lem'8324''8242'_3686 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8324''8242'_3686 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8324''8242'_3686 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 ~AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_3686 T_BooleanAlgebra_682
v2 AgdaAny
v6 AgdaAny
v7
du_lem'8324''8242'_3686 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_3686 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_3686 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v5)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v3 :: t
v3
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v3 :: t
v3
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                     (let v3 :: AgdaAny -> AgdaAny
v3
                            = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                   T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                   (let v3 :: t
v3
                                          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                    AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                           (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                              ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                                 AgdaAny
v2))))
                     ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_3418 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                        ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                           (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                              ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                              (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_3414 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              AgdaAny
v2))))
                  ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                     ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                        ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'737'_3194
                           (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           AgdaAny
v1)
                        ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                           (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                              ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                        ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'comm_2986
                           (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                              ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                 ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                    (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
                     ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v1))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)))
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)
                           (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     (let v3 :: T_IsDistributiveLattice_3036
v3
                            = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                                ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'737'_3016
                           ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                           ((T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'complement'737'_3194
                              (T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
                              AgdaAny
v2)))))
               ((T_BooleanAlgebra_682
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_3656 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))
            ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_3514 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
               ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'cong_2990
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'172''45'involutive_3486 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₄
d_lem'8324'_3688 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8324'_3688 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8324'_3688 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_3688 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8324'_3688 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_3688 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_3688 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                     ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                           (let v4 :: t
v4
                                  = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                      (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                 ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
                  (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                     ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                  (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
                     (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                        ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                              (let v4 :: t
v4
                                     = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                         (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                    ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                       (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                     (let v4 :: AgdaAny -> AgdaAny
v4
                            = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                                   T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                   (let v4 :: t
v4
                                          = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                              T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                                    AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                         ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                           (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                              ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                                 AgdaAny
v3)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                                    AgdaAny
v2)
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))))
                     ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           AgdaAny
v3)))
                  ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__240
                     ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3)))
                     ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8744''45'assoc_2988
                        (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                           ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                              ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                                 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3)))
               (let v4 :: T_IsBooleanAlgebra_3112
v4
                      = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_3036
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_3036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'distrib'737''45''8743'_3094
                     (T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2)
                        AgdaAny
v3))))
            (let v4 :: T_IsBooleanAlgebra_3112
v4
                   = T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                       (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsDistributiveLattice_3036
v5
                      = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                          (T_IsBooleanAlgebra_3112 -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe T_IsBooleanAlgebra_3112
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8744''45'cong'737'_3024
                     ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v5))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2) AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_3686 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_3494 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v2 AgdaAny
v3)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing._.lem₅
d_lem'8325'_3690 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8325'_3690 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8325'_3690 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_3690 T_BooleanAlgebra_682
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8325'_3690 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_3690 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_3690 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__46
      (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
         (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_start_36 AgdaAny
v6)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
            AgdaAny
v3)
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_370
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                             (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                        ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
               T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                     ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                           ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     AgdaAny
v3))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                  AgdaAny
v3)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_368
               (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_'8764''45'go_40
                  ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                        (let v4 :: t
v4
                               = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                   (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                              ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)))))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
               (let v4 :: AgdaAny -> AgdaAny
v4
                      = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                          ((T_Setoid_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
                             T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                             (let v4 :: t
v4
                                    = (T_BooleanAlgebra_682 -> T_DistributiveLattice_584) -> AgdaAny -> t
forall a b. a -> b
coe
                                        T_BooleanAlgebra_682 -> T_DistributiveLattice_584
MAlonzo.Code.Algebra.Lattice.Bundles.du_distributiveLattice_790
                                        (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) in
                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                ((T_Lattice_500 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_Lattice_500 -> T_Setoid_44
MAlonzo.Code.Algebra.Lattice.Bundles.du_setoid_574
                                   ((T_DistributiveLattice_584 -> T_Lattice_500) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_DistributiveLattice_584 -> T_Lattice_500
MAlonzo.Code.Algebra.Lattice.Bundles.du_lattice_664
                                      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_492
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du_stop_54
                        ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                           AgdaAny
v3)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))))
               ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
                  (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                     ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                        ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                           (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     AgdaAny
v3)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
            (let v4 :: T_IsDistributiveLattice_3036
v4
                   = T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> T_IsBooleanAlgebra_3112
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_2962
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_2962
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.du_'8743''45'cong'691'_3020
                  ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048 (T_IsDistributiveLattice_3036 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_3036
v4))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        AgdaAny
v3))
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        AgdaAny
v3)
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3)))
                  ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
                     (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                        ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                           ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                              (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                        ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
                        AgdaAny
v3)))))
         ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
            (T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
               ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> T_IsDistributiveLattice_3036
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                  ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                     (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v2))
               AgdaAny
v3)
            ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0
                  ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0 AgdaAny
v3))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-isMagma
d_'8853''45'isMagma_3692 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
d_'8853''45'isMagma_3692 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_176
d_'8853''45'isMagma_3692 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_176
du_'8853''45'isMagma_3692 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'isMagma_3692 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
du_'8853''45'isMagma_3692 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_176
du_'8853''45'isMagma_3692 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsEquivalence_26
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_176)
-> AgdaAny -> AgdaAny -> T_IsMagma_176
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_176
MAlonzo.Code.Algebra.Structures.C_IsMagma'46'constructor_1867
      ((T_IsLattice_2962 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-isSemigroup
d_'8853''45'isSemigroup_3694 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
d_'8853''45'isSemigroup_3694 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_472
d_'8853''45'isSemigroup_3694 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_472
du_'8853''45'isSemigroup_3694 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'isSemigroup_3694 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
du_'8853''45'isSemigroup_3694 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_472
du_'8853''45'isSemigroup_3694 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsMagma_176
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_472
forall a b. a -> b
coe
      T_IsMagma_176
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_472
MAlonzo.Code.Algebra.Structures.C_IsSemigroup'46'constructor_10417
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_176)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_176
du_'8853''45'isMagma_3692 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_3666 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-⊥-isMonoid
d_'8853''45''8869''45'isMonoid_3696 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
d_'8853''45''8869''45'isMonoid_3696 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_686
d_'8853''45''8869''45'isMonoid_3696 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3696 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8869''45'isMonoid_3696 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3696 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3696 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsSemigroup_472 -> T_Σ_14 -> T_IsMonoid_686)
-> AgdaAny -> AgdaAny -> T_IsMonoid_686
forall a b. a -> b
coe
      T_IsSemigroup_472 -> T_Σ_14 -> T_IsMonoid_686
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_15873
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsSemigroup_472)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_472
du_'8853''45'isSemigroup_3694 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_3616 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-⊥-isGroup
d_'8853''45''8869''45'isGroup_3698 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036
d_'8853''45''8869''45'isGroup_3698 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_1036
d_'8853''45''8869''45'isGroup_3698 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3698 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8869''45'isGroup_3698 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3698 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3698 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsMonoid_686
 -> T_Σ_14
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsGroup_1036)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsGroup_1036
forall a b. a -> b
coe
      T_IsMonoid_686
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_1036
MAlonzo.Code.Algebra.Structures.C_IsGroup'46'constructor_26963
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMonoid_686)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3696 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_3624 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 -> AgdaAny
v5))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-⊥-isAbelianGroup
d_'8853''45''8869''45'isAbelianGroup_3700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132
d_'8853''45''8869''45'isAbelianGroup_3700 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_1132
d_'8853''45''8869''45'isAbelianGroup_3700 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3700 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8869''45'isAbelianGroup_3700 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3700 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3700 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsGroup_1036
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132)
-> AgdaAny -> AgdaAny -> T_IsAbelianGroup_1132
forall a b. a -> b
coe
      T_IsGroup_1036
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAbelianGroup_1132
MAlonzo.Code.Algebra.Structures.C_IsAbelianGroup'46'constructor_32441
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsGroup_1036)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3698 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-∧-isRing
d_'8853''45''8743''45'isRing_3702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650
d_'8853''45''8743''45'isRing_3702 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_2650
d_'8853''45''8743''45'isRing_3702 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_2650
du_'8853''45''8743''45'isRing_3702 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8743''45'isRing_3702 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650
du_'8853''45''8743''45'isRing_3702 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_2650
du_'8853''45''8743''45'isRing_3702 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsAbelianGroup_1132
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_IsRing_2650)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_IsRing_2650
forall a b. a -> b
coe
      T_IsAbelianGroup_1132
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_IsRing_2650
MAlonzo.Code.Algebra.Structures.C_IsRing'46'constructor_95033
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsAbelianGroup_1132)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3700 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_IsLattice_2962
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'cong_2996
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'assoc_2994
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
      ((T_BooleanAlgebra_682 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'identity_3420 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_3646 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-∧-isCommutativeRing
d_'8853''45''8743''45'isCommutativeRing_3704 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_2796
d_'8853''45''8743''45'isCommutativeRing_3704 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_2796
d_'8853''45''8743''45'isCommutativeRing_3704 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3704 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8743''45'isCommutativeRing_3704 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3704 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3704 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsRing_2650
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeRing_2796)
-> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796
forall a b. a -> b
coe
      T_IsRing_2650
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeRing_2796
MAlonzo.Code.Algebra.Structures.C_IsCommutativeRing'46'constructor_100945
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsRing_2650)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_2650
du_'8853''45''8743''45'isRing_3702 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
      ((T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_2962 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Structures.d_'8743''45'comm_2992
         ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
            ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
               ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                  (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.XorRing.⊕-∧-commutativeRing
d_'8853''45''8743''45'commutativeRing_3706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_4016
d_'8853''45''8743''45'commutativeRing_3706 :: ()
-> ()
-> T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_4016
d_'8853''45''8743''45'commutativeRing_3706 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3706 T_BooleanAlgebra_682
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8743''45'commutativeRing_3706 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3706 :: T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3706 T_BooleanAlgebra_682
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsCommutativeRing_2796
 -> T_CommutativeRing_4016)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_CommutativeRing_4016
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsCommutativeRing_2796
-> T_CommutativeRing_4016
MAlonzo.Code.Algebra.Bundles.C_CommutativeRing'46'constructor_72553
      AgdaAny -> AgdaAny -> AgdaAny
v1 (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (\ AgdaAny
v3 -> AgdaAny
v3)
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8869'_716 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      (T_BooleanAlgebra_682 -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'8868'_714 (T_BooleanAlgebra_682 -> T_BooleanAlgebra_682
forall a b. a -> b
coe T_BooleanAlgebra_682
v0))
      ((T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeRing_2796)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3704 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra._⊕_
d__'8853'__3708 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d__'8853'__3708 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8853'__3708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2
  = (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
      ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
         ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.¬-distribʳ-⊕
d_'172''45'distrib'691''45''8853'_3720 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'691''45''8853'_3720 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'691''45''8853'_3720 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_3720 T_BooleanAlgebra_682
v2
du_'172''45'distrib'691''45''8853'_3720 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_3720 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_3720 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_3594 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.¬-distribˡ-⊕
d_'172''45'distrib'737''45''8853'_3722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'737''45''8853'_3722 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'737''45''8853'_3722 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_3722 T_BooleanAlgebra_682
v2
du_'172''45'distrib'737''45''8853'_3722 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_3722 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_3722 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_3570 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.∧-distrib-⊕
d_'8743''45'distrib'45''8853'_3724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'distrib'45''8853'_3724 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8743''45'distrib'45''8853'_3724 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'distrib'45''8853'_3724 T_BooleanAlgebra_682
v2
du_'8743''45'distrib'45''8853'_3724 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'distrib'45''8853'_3724 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8743''45'distrib'45''8853'_3724 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_3646 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.∧-distribʳ-⊕
d_'8743''45'distrib'691''45''8853'_3726 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'691''45''8853'_3726 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'691''45''8853'_3726 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_3726 T_BooleanAlgebra_682
v2
du_'8743''45'distrib'691''45''8853'_3726 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_3726 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_3726 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_3644 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.∧-distribˡ-⊕
d_'8743''45'distrib'737''45''8853'_3728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8853'_3728 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'737''45''8853'_3728 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_3728 T_BooleanAlgebra_682
v2
du_'8743''45'distrib'737''45''8853'_3728 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_3728 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_3728 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_3626 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-annihilates-¬
d_'8853''45'annihilates'45''172'_3730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'annihilates'45''172'_3730 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'annihilates'45''172'_3730 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_3730 T_BooleanAlgebra_682
v2
du_'8853''45'annihilates'45''172'_3730 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_3730 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_3730 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'annihilates'45''172'_3604 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-assoc
d_'8853''45'assoc_3732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'assoc_3732 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'assoc_3732 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_3732 T_BooleanAlgebra_682
v2
du_'8853''45'assoc_3732 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_3732 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_3732 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_3666 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-comm
d_'8853''45'comm_3734 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'comm_3734 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'comm_3734 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_3734 T_BooleanAlgebra_682
v2
du_'8853''45'comm_3734 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_3734 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_3734 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_3560 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-cong
d_'8853''45'cong_3736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'cong_3736 :: ()
-> ()
-> T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'cong_3736 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3736 T_BooleanAlgebra_682
v2
du_'8853''45'cong_3736 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'cong_3736 :: T_BooleanAlgebra_682
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3736 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_3546 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-identity
d_'8853''45'identity_3738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'identity_3738 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8853''45'identity_3738 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_Σ_14
du_'8853''45'identity_3738 T_BooleanAlgebra_682
v2
du_'8853''45'identity_3738 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'identity_3738 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8853''45'identity_3738 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_3616 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-identityʳ
d_'8853''45'identity'691'_3740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8853''45'identity'691'_3740 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8853''45'identity'691'_3740 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'identity'691'_3740 T_BooleanAlgebra_682
v2
du_'8853''45'identity'691'_3740 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8853''45'identity'691'_3740 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'identity'691'_3740 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_3614 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-identityˡ
d_'8853''45'identity'737'_3742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8853''45'identity'737'_3742 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8853''45'identity'737'_3742 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'identity'737'_3742 T_BooleanAlgebra_682
v2
du_'8853''45'identity'737'_3742 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8853''45'identity'737'_3742 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'identity'737'_3742 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_3610 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-inverse
d_'8853''45'inverse_3744 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'inverse_3744 :: () -> () -> T_BooleanAlgebra_682 -> T_Σ_14
d_'8853''45'inverse_3744 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_Σ_14
du_'8853''45'inverse_3744 T_BooleanAlgebra_682
v2
du_'8853''45'inverse_3744 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'inverse_3744 :: T_BooleanAlgebra_682 -> T_Σ_14
du_'8853''45'inverse_3744 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_3624 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-inverseʳ
d_'8853''45'inverse'691'_3746 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8853''45'inverse'691'_3746 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8853''45'inverse'691'_3746 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_3746 T_BooleanAlgebra_682
v2
du_'8853''45'inverse'691'_3746 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_3746 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_3746 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_3622 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-inverseˡ
d_'8853''45'inverse'737'_3748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
d_'8853''45'inverse'737'_3748 :: () -> () -> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
d_'8853''45'inverse'737'_3748 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_3748 T_BooleanAlgebra_682
v2
du_'8853''45'inverse'737'_3748 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_3748 :: T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_3748 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_3618 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-isMagma
d_'8853''45'isMagma_3750 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
d_'8853''45'isMagma_3750 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMagma_176
d_'8853''45'isMagma_3750 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2 = T_BooleanAlgebra_682 -> T_IsMagma_176
du_'8853''45'isMagma_3750 T_BooleanAlgebra_682
v2
du_'8853''45'isMagma_3750 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_176
du_'8853''45'isMagma_3750 :: T_BooleanAlgebra_682 -> T_IsMagma_176
du_'8853''45'isMagma_3750 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_176)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsMagma_176
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_176
du_'8853''45'isMagma_3692 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-isSemigroup
d_'8853''45'isSemigroup_3752 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
d_'8853''45'isSemigroup_3752 :: () -> () -> T_BooleanAlgebra_682 -> T_IsSemigroup_472
d_'8853''45'isSemigroup_3752 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsSemigroup_472
du_'8853''45'isSemigroup_3752 T_BooleanAlgebra_682
v2
du_'8853''45'isSemigroup_3752 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_472
du_'8853''45'isSemigroup_3752 :: T_BooleanAlgebra_682 -> T_IsSemigroup_472
du_'8853''45'isSemigroup_3752 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsSemigroup_472)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsSemigroup_472
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_472
du_'8853''45'isSemigroup_3694 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-∧-commutativeRing
d_'8853''45''8743''45'commutativeRing_3754 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_4016
d_'8853''45''8743''45'commutativeRing_3754 :: () -> () -> T_BooleanAlgebra_682 -> T_CommutativeRing_4016
d_'8853''45''8743''45'commutativeRing_3754 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3754 T_BooleanAlgebra_682
v2
du_'8853''45''8743''45'commutativeRing_3754 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3754 :: T_BooleanAlgebra_682 -> T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3754 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_CommutativeRing_4016)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_CommutativeRing_4016
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_4016
du_'8853''45''8743''45'commutativeRing_3706 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-∧-isCommutativeRing
d_'8853''45''8743''45'isCommutativeRing_3756 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_2796
d_'8853''45''8743''45'isCommutativeRing_3756 :: () -> () -> T_BooleanAlgebra_682 -> T_IsCommutativeRing_2796
d_'8853''45''8743''45'isCommutativeRing_3756 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3756 T_BooleanAlgebra_682
v2
du_'8853''45''8743''45'isCommutativeRing_3756 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3756 :: T_BooleanAlgebra_682 -> T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3756 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeRing_2796)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_2796
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_2796
du_'8853''45''8743''45'isCommutativeRing_3704 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-∧-isRing
d_'8853''45''8743''45'isRing_3758 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650
d_'8853''45''8743''45'isRing_3758 :: () -> () -> T_BooleanAlgebra_682 -> T_IsRing_2650
d_'8853''45''8743''45'isRing_3758 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsRing_2650
du_'8853''45''8743''45'isRing_3758 T_BooleanAlgebra_682
v2
du_'8853''45''8743''45'isRing_3758 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_2650
du_'8853''45''8743''45'isRing_3758 :: T_BooleanAlgebra_682 -> T_IsRing_2650
du_'8853''45''8743''45'isRing_3758 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsRing_2650)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsRing_2650
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_2650
du_'8853''45''8743''45'isRing_3702 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-⊥-isAbelianGroup
d_'8853''45''8869''45'isAbelianGroup_3760 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132
d_'8853''45''8869''45'isAbelianGroup_3760 :: () -> () -> T_BooleanAlgebra_682 -> T_IsAbelianGroup_1132
d_'8853''45''8869''45'isAbelianGroup_3760 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3760 T_BooleanAlgebra_682
v2
du_'8853''45''8869''45'isAbelianGroup_3760 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3760 :: T_BooleanAlgebra_682 -> T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3760 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsAbelianGroup_1132)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsAbelianGroup_1132
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_1132
du_'8853''45''8869''45'isAbelianGroup_3700 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-⊥-isGroup
d_'8853''45''8869''45'isGroup_3762 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036
d_'8853''45''8869''45'isGroup_3762 :: () -> () -> T_BooleanAlgebra_682 -> T_IsGroup_1036
d_'8853''45''8869''45'isGroup_3762 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3762 T_BooleanAlgebra_682
v2
du_'8853''45''8869''45'isGroup_3762 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3762 :: T_BooleanAlgebra_682 -> T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3762 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsGroup_1036)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsGroup_1036
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_1036
du_'8853''45''8869''45'isGroup_3698 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Lattice.Properties.BooleanAlgebra.DefaultXorRing.⊕-⊥-isMonoid
d_'8853''45''8869''45'isMonoid_3764 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
d_'8853''45''8869''45'isMonoid_3764 :: () -> () -> T_BooleanAlgebra_682 -> T_IsMonoid_686
d_'8853''45''8869''45'isMonoid_3764 ~()
v0 ~()
v1 T_BooleanAlgebra_682
v2
  = T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3764 T_BooleanAlgebra_682
v2
du_'8853''45''8869''45'isMonoid_3764 ::
  MAlonzo.Code.Algebra.Lattice.Bundles.T_BooleanAlgebra_682 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3764 :: T_BooleanAlgebra_682 -> T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3764 T_BooleanAlgebra_682
v0
  = (T_BooleanAlgebra_682
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMonoid_686)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsMonoid_686
forall a b. a -> b
coe
      T_BooleanAlgebra_682
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_686
du_'8853''45''8869''45'isMonoid_3696 (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2))))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
              (T_IsLattice_2962 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Lattice.Structures.d_isEquivalence_2984
                 ((T_IsDistributiveLattice_3036 -> T_IsLattice_2962)
-> AgdaAny -> T_IsLattice_2962
forall a b. a -> b
coe
                    T_IsDistributiveLattice_3036 -> T_IsLattice_2962
MAlonzo.Code.Algebra.Lattice.Structures.d_isLattice_3048
                    ((T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_3112 -> T_IsDistributiveLattice_3036
MAlonzo.Code.Algebra.Lattice.Structures.d_isDistributiveLattice_3132
                       ((T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_682 -> T_IsBooleanAlgebra_3112
MAlonzo.Code.Algebra.Lattice.Bundles.d_isBooleanAlgebra_718
                          (T_BooleanAlgebra_682 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682
v0)))))
              ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8744'__708 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d_'172'__712 T_BooleanAlgebra_682
v0
                    ((T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_BooleanAlgebra_682 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Lattice.Bundles.d__'8743'__710 T_BooleanAlgebra_682
v0 AgdaAny
v1 AgdaAny
v2)))))