{-# 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.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.Properties.DistributiveLattice
import qualified MAlonzo.Code.Algebra.Properties.Lattice
import qualified MAlonzo.Code.Algebra.Properties.Semilattice
import qualified MAlonzo.Code.Algebra.Structures
import qualified MAlonzo.Code.Function.Base
import qualified MAlonzo.Code.Function.Equality
import qualified MAlonzo.Code.Function.Equivalence
import qualified MAlonzo.Code.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Lattice
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Base.Single
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Setoid
import qualified MAlonzo.Code.Relation.Binary.Structures

-- Algebra.Properties.BooleanAlgebra._.IsAbelianGroup
d_IsAbelianGroup_92 :: p -> p -> p -> p -> p -> p -> ()
d_IsAbelianGroup_92 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Properties.BooleanAlgebra._.IsBooleanAlgebra
d_IsBooleanAlgebra_96 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsBooleanAlgebra_96 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Properties.BooleanAlgebra._.IsCommutativeMonoid
d_IsCommutativeMonoid_104 :: p -> p -> p -> p -> p -> ()
d_IsCommutativeMonoid_104 p
a0 p
a1 p
a2 p
a3 p
a4 = ()
-- Algebra.Properties.BooleanAlgebra._.IsCommutativeRing
d_IsCommutativeRing_106 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsCommutativeRing_106 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Properties.BooleanAlgebra._.IsCommutativeSemiring
d_IsCommutativeSemiring_110 :: p -> p -> p -> p -> p -> p -> p -> ()
d_IsCommutativeSemiring_110 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 = ()
-- Algebra.Properties.BooleanAlgebra._.IsGroup
d_IsGroup_116 :: p -> p -> p -> p -> p -> p -> ()
d_IsGroup_116 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Properties.BooleanAlgebra._.IsMagma
d_IsMagma_122 :: p -> p -> p -> p -> ()
d_IsMagma_122 p
a0 p
a1 p
a2 p
a3 = ()
-- Algebra.Properties.BooleanAlgebra._.IsMonoid
d_IsMonoid_124 :: p -> p -> p -> p -> p -> ()
d_IsMonoid_124 p
a0 p
a1 p
a2 p
a3 p
a4 = ()
-- Algebra.Properties.BooleanAlgebra._.IsRing
d_IsRing_128 :: p -> p -> p -> p -> p -> p -> p -> p -> ()
d_IsRing_128 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 p
a7 = ()
-- Algebra.Properties.BooleanAlgebra._.IsSemigroup
d_IsSemigroup_132 :: p -> p -> p -> p -> ()
d_IsSemigroup_132 p
a0 p
a1 p
a2 p
a3 = ()
-- Algebra.Properties.BooleanAlgebra._.IsSemiring
d_IsSemiring_136 :: p -> p -> p -> p -> p -> p -> p -> ()
d_IsSemiring_136 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 = ()
-- Algebra.Properties.BooleanAlgebra._._DistributesOver_
d__DistributesOver__1518 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver__1518 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver__1518 = ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._._DistributesOverʳ_
d__DistributesOver'691'__1520 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'691'__1520 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'691'__1520 = ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._._DistributesOverˡ_
d__DistributesOver'737'__1522 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'737'__1522 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d__DistributesOver'737'__1522 = ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Associative
d_Associative_1534 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Associative_1534 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Associative_1534 = ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Commutative
d_Commutative_1538 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Commutative_1538 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Commutative_1538 = ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Congruent₂
d_Congruent'8322'_1542 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Congruent'8322'_1542 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Congruent'8322'_1542 = ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Identity
d_Identity_1550 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Identity_1550 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Identity_1550 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Inverse
d_Inverse_1554 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Inverse_1554 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Inverse_1554 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Involutive
d_Involutive_1556 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny) -> ()
d_Involutive_1556 :: () -> () -> T_BooleanAlgebra_2920 -> (AgdaAny -> AgdaAny) -> ()
d_Involutive_1556 = () -> () -> T_BooleanAlgebra_2920 -> (AgdaAny -> AgdaAny) -> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.LeftIdentity
d_LeftIdentity_1564 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftIdentity_1564 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftIdentity_1564 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.LeftInverse
d_LeftInverse_1566 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftInverse_1566 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftInverse_1566 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.LeftZero
d_LeftZero_1568 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftZero_1568 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftZero_1568 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.RightIdentity
d_RightIdentity_1576 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightIdentity_1576 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightIdentity_1576 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.RightInverse
d_RightInverse_1578 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightInverse_1578 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightInverse_1578 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.RightZero
d_RightZero_1580 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightZero_1580 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightZero_1580 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.Zero
d_Zero_1584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Zero_1584 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Zero_1584 = ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Properties.BooleanAlgebra._.isOrderTheoreticLattice
d_isOrderTheoreticLattice_1656 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsLattice_810
d_isOrderTheoreticLattice_1656 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsLattice_810
d_isOrderTheoreticLattice_1656 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsLattice_810
du_isOrderTheoreticLattice_1656 T_BooleanAlgebra_2920
v2
du_isOrderTheoreticLattice_1656 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsLattice_810
du_isOrderTheoreticLattice_1656 :: T_BooleanAlgebra_2920 -> T_IsLattice_810
du_isOrderTheoreticLattice_1656 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsLattice_810
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsLattice_810) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsLattice_810
MAlonzo.Code.Algebra.Properties.Lattice.du_isOrderTheoreticLattice_1712
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.orderTheoreticLattice
d_orderTheoreticLattice_1658 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_Lattice_898
d_orderTheoreticLattice_1658 :: () -> () -> T_BooleanAlgebra_2920 -> T_Lattice_898
d_orderTheoreticLattice_1658 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Lattice_898
du_orderTheoreticLattice_1658 T_BooleanAlgebra_2920
v2
du_orderTheoreticLattice_1658 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_Lattice_898
du_orderTheoreticLattice_1658 :: T_BooleanAlgebra_2920 -> T_Lattice_898
du_orderTheoreticLattice_1658 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_Lattice_898
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_Lattice_898) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_Lattice_898
MAlonzo.Code.Algebra.Properties.Lattice.du_orderTheoreticLattice_1714
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.poset
d_poset_1660 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_282
d_poset_1660 :: () -> () -> T_BooleanAlgebra_2920 -> T_Poset_282
d_poset_1660 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_Poset_282
du_poset_1660 T_BooleanAlgebra_2920
v2
du_poset_1660 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_282
du_poset_1660 :: T_BooleanAlgebra_2920 -> T_Poset_282
du_poset_1660 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_Poset_282
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_Poset_282) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_Poset_282
MAlonzo.Code.Algebra.Properties.Semilattice.du_poset_162
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'semilattice_1600
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-distrib-∨
d_'8743''45'distrib'45''8744'_1662 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'distrib'45''8744'_1662 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8743''45'distrib'45''8744'_1662 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'distrib'45''8744'_1662 T_BooleanAlgebra_2920
v2
du_'8743''45'distrib'45''8744'_1662 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'distrib'45''8744'_1662 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'distrib'45''8744'_1662 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_DistributiveLattice_1228 -> T_Σ_14
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45'distrib'45''8744'_258
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-distribʳ-∨
d_'8743''45'distrib'691''45''8744'_1664 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'691''45''8744'_1664 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'691''45''8744'_1664 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8744'_1664 T_BooleanAlgebra_2920
v2
du_'8743''45'distrib'691''45''8744'_1664 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8744'_1664 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8744'_1664 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45'distrib'691''45''8744'_250
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-distribˡ-∨
d_'8743''45'distrib'737''45''8744'_1666 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8744'_1666 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'737''45''8744'_1666 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8744'_1666 T_BooleanAlgebra_2920
v2
du_'8743''45'distrib'737''45''8744'_1666 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8744'_1666 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8744'_1666 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45'distrib'737''45''8744'_242
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-idem
d_'8743''45'idem_1668 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'idem_1668 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'idem_1668 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'idem_1668 T_BooleanAlgebra_2920
v2
du_'8743''45'idem_1668 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'idem_1668 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'idem_1668 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_Lattice_1144 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'idem_1588
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-idempotent
d_'8743''45'idempotent_1670 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'idempotent_1670 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'idempotent_1670 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'idempotent_1670 T_BooleanAlgebra_2920
v2
du_'8743''45'idempotent_1670 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'idempotent_1670 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'idempotent_1670 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_Lattice_1144 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'idempotent_1708
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-isBand
d_'8743''45'isBand_1672 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_'8743''45'isBand_1672 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsBand_230
d_'8743''45'isBand_1672 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_IsBand_230
du_'8743''45'isBand_1672 T_BooleanAlgebra_2920
v2
du_'8743''45'isBand_1672 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
du_'8743''45'isBand_1672 :: T_BooleanAlgebra_2920 -> T_IsBand_230
du_'8743''45'isBand_1672 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsBand_230
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsBand_230) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsBand_230
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'isBand_1596
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-isMagma
d_'8743''45'isMagma_1674 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8743''45'isMagma_1674 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMagma_86
d_'8743''45'isMagma_1674 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_IsMagma_86
du_'8743''45'isMagma_1674 T_BooleanAlgebra_2920
v2
du_'8743''45'isMagma_1674 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_'8743''45'isMagma_1674 :: T_BooleanAlgebra_2920 -> T_IsMagma_86
du_'8743''45'isMagma_1674 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsMagma_86
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsMagma_86) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsMagma_86
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'isMagma_1592
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-isOrderTheoreticJoinSemilattice
d_'8743''45'isOrderTheoreticJoinSemilattice_1676 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsJoinSemilattice_68
d_'8743''45'isOrderTheoreticJoinSemilattice_1676 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsJoinSemilattice_68
d_'8743''45'isOrderTheoreticJoinSemilattice_1676 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsJoinSemilattice_68
du_'8743''45'isOrderTheoreticJoinSemilattice_1676 T_BooleanAlgebra_2920
v2
du_'8743''45'isOrderTheoreticJoinSemilattice_1676 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsJoinSemilattice_68
du_'8743''45'isOrderTheoreticJoinSemilattice_1676 :: T_BooleanAlgebra_2920 -> T_IsJoinSemilattice_68
du_'8743''45'isOrderTheoreticJoinSemilattice_1676 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsJoinSemilattice_68
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_IsJoinSemilattice_68) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_IsJoinSemilattice_68
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'isOrderTheoreticJoinSemilattice_178
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'semilattice_1600
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-isOrderTheoreticMeetSemilattice
d_'8743''45'isOrderTheoreticMeetSemilattice_1678 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsMeetSemilattice_438
d_'8743''45'isOrderTheoreticMeetSemilattice_1678 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMeetSemilattice_438
d_'8743''45'isOrderTheoreticMeetSemilattice_1678 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsMeetSemilattice_438
du_'8743''45'isOrderTheoreticMeetSemilattice_1678 T_BooleanAlgebra_2920
v2
du_'8743''45'isOrderTheoreticMeetSemilattice_1678 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsMeetSemilattice_438
du_'8743''45'isOrderTheoreticMeetSemilattice_1678 :: T_BooleanAlgebra_2920 -> T_IsMeetSemilattice_438
du_'8743''45'isOrderTheoreticMeetSemilattice_1678 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsMeetSemilattice_438
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_IsMeetSemilattice_438)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_IsMeetSemilattice_438
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'isOrderTheoreticMeetSemilattice_176
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'semilattice_1600
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-isSemigroup
d_'8743''45'isSemigroup_1680 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8743''45'isSemigroup_1680 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemigroup_194
d_'8743''45'isSemigroup_1680 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemigroup_194
du_'8743''45'isSemigroup_1680 T_BooleanAlgebra_2920
v2
du_'8743''45'isSemigroup_1680 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_'8743''45'isSemigroup_1680 :: T_BooleanAlgebra_2920 -> T_IsSemigroup_194
du_'8743''45'isSemigroup_1680 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsSemigroup_194
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsSemigroup_194) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'isSemigroup_1594
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-isSemilattice
d_'8743''45'isSemilattice_1682 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
d_'8743''45'isSemilattice_1682 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemilattice_312
d_'8743''45'isSemilattice_1682 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemilattice_312
du_'8743''45'isSemilattice_1682 T_BooleanAlgebra_2920
v2
du_'8743''45'isSemilattice_1682 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
du_'8743''45'isSemilattice_1682 :: T_BooleanAlgebra_2920 -> T_IsSemilattice_312
du_'8743''45'isSemilattice_1682 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsSemilattice_312
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsSemilattice_312) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsSemilattice_312
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'isSemilattice_1598
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-orderTheoreticJoinSemilattice
d_'8743''45'orderTheoreticJoinSemilattice_1684 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_JoinSemilattice_170
d_'8743''45'orderTheoreticJoinSemilattice_1684 :: () -> () -> T_BooleanAlgebra_2920 -> T_JoinSemilattice_170
d_'8743''45'orderTheoreticJoinSemilattice_1684 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_JoinSemilattice_170
du_'8743''45'orderTheoreticJoinSemilattice_1684 T_BooleanAlgebra_2920
v2
du_'8743''45'orderTheoreticJoinSemilattice_1684 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_JoinSemilattice_170
du_'8743''45'orderTheoreticJoinSemilattice_1684 :: T_BooleanAlgebra_2920 -> T_JoinSemilattice_170
du_'8743''45'orderTheoreticJoinSemilattice_1684 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_JoinSemilattice_170
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_JoinSemilattice_170) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_JoinSemilattice_170
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'orderTheoreticJoinSemilattice_182
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'semilattice_1600
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-orderTheoreticMeetSemilattice
d_'8743''45'orderTheoreticMeetSemilattice_1686 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_MeetSemilattice_540
d_'8743''45'orderTheoreticMeetSemilattice_1686 :: () -> () -> T_BooleanAlgebra_2920 -> T_MeetSemilattice_540
d_'8743''45'orderTheoreticMeetSemilattice_1686 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_MeetSemilattice_540
du_'8743''45'orderTheoreticMeetSemilattice_1686 T_BooleanAlgebra_2920
v2
du_'8743''45'orderTheoreticMeetSemilattice_1686 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_MeetSemilattice_540
du_'8743''45'orderTheoreticMeetSemilattice_1686 :: T_BooleanAlgebra_2920 -> T_MeetSemilattice_540
du_'8743''45'orderTheoreticMeetSemilattice_1686 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_MeetSemilattice_540
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_MeetSemilattice_540) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_MeetSemilattice_540
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'orderTheoreticMeetSemilattice_180
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'semilattice_1600
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-semilattice
d_'8743''45'semilattice_1688 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
d_'8743''45'semilattice_1688 :: () -> () -> T_BooleanAlgebra_2920 -> T_Semilattice_402
d_'8743''45'semilattice_1688 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Semilattice_402
du_'8743''45'semilattice_1688 T_BooleanAlgebra_2920
v2
du_'8743''45'semilattice_1688 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
du_'8743''45'semilattice_1688 :: T_BooleanAlgebra_2920 -> T_Semilattice_402
du_'8743''45'semilattice_1688 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_Semilattice_402
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'semilattice_1600
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-distrib
d_'8743''45''8744''45'distrib_1690 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45''8744''45'distrib_1690 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8743''45''8744''45'distrib_1690 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45''8744''45'distrib_1690 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'distrib_1690 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45''8744''45'distrib_1690 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45''8744''45'distrib_1690 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_DistributiveLattice_1228 -> T_Σ_14
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib_272
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-distributiveLattice
d_'8743''45''8744''45'distributiveLattice_1692 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
d_'8743''45''8744''45'distributiveLattice_1692 :: () -> () -> T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
d_'8743''45''8744''45'distributiveLattice_1692 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
du_'8743''45''8744''45'distributiveLattice_1692 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'distributiveLattice_1692 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
du_'8743''45''8744''45'distributiveLattice_1692 :: T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
du_'8743''45''8744''45'distributiveLattice_1692 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228 -> T_DistributiveLattice_1228)
-> AgdaAny -> T_DistributiveLattice_1228
forall a b. a -> b
coe
      T_DistributiveLattice_1228 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distributiveLattice_262
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-distribʳ
d_'8743''45''8744''45'distrib'691'_1694 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45''8744''45'distrib'691'_1694 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45''8744''45'distrib'691'_1694 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45''8744''45'distrib'691'_1694 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'distrib'691'_1694 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45''8744''45'distrib'691'_1694 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45''8744''45'distrib'691'_1694 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'691'_270
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-distribˡ
d_'8743''45''8744''45'distrib'737'_1696 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45''8744''45'distrib'737'_1696 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45''8744''45'distrib'737'_1696 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45''8744''45'distrib'737'_1696 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'distrib'737'_1696 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45''8744''45'distrib'737'_1696 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45''8744''45'distrib'737'_1696 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'737'_268
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-isDistributiveLattice
d_'8743''45''8744''45'isDistributiveLattice_1698 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
d_'8743''45''8744''45'isDistributiveLattice_1698 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsDistributiveLattice_814
d_'8743''45''8744''45'isDistributiveLattice_1698 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsDistributiveLattice_814
du_'8743''45''8744''45'isDistributiveLattice_1698 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'isDistributiveLattice_1698 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
du_'8743''45''8744''45'isDistributiveLattice_1698 :: T_BooleanAlgebra_2920 -> T_IsDistributiveLattice_814
du_'8743''45''8744''45'isDistributiveLattice_1698 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
      T_DistributiveLattice_1228 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'isDistributiveLattice_260
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-isLattice
d_'8743''45''8744''45'isLattice_1700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsLattice_740
d_'8743''45''8744''45'isLattice_1700 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsLattice_740
d_'8743''45''8744''45'isLattice_1700 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsLattice_740
du_'8743''45''8744''45'isLattice_1700 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'isLattice_1700 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsLattice_740
du_'8743''45''8744''45'isLattice_1700 :: T_BooleanAlgebra_2920 -> T_IsLattice_740
du_'8743''45''8744''45'isLattice_1700 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsLattice_740) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsLattice_740
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45''8744''45'isLattice_1636
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-∨-lattice
d_'8743''45''8744''45'lattice_1702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
d_'8743''45''8744''45'lattice_1702 :: () -> () -> T_BooleanAlgebra_2920 -> T_Lattice_1144
d_'8743''45''8744''45'lattice_1702 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Lattice_1144
du_'8743''45''8744''45'lattice_1702 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'lattice_1702 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
du_'8743''45''8744''45'lattice_1702 :: T_BooleanAlgebra_2920 -> T_Lattice_1144
du_'8743''45''8744''45'lattice_1702 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_Lattice_1144
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_Lattice_1144) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_Lattice_1144
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45''8744''45'lattice_1638
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-distrib-∧
d_'8744''45'distrib'45''8743'_1704 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'distrib'45''8743'_1704 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8744''45'distrib'45''8743'_1704 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'distrib'45''8743'_1704 T_BooleanAlgebra_2920
v2
du_'8744''45'distrib'45''8743'_1704 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45'distrib'45''8743'_1704 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'distrib'45''8743'_1704 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_DistributiveLattice_1228 -> T_Σ_14
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45'distrib'45''8743'_240
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∨-distribˡ-∧
d_'8744''45'distrib'737''45''8743'_1706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45'distrib'737''45''8743'_1706 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45'distrib'737''45''8743'_1706 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'distrib'737''45''8743'_1706 T_BooleanAlgebra_2920
v2
du_'8744''45'distrib'737''45''8743'_1706 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'distrib'737''45''8743'_1706 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45'distrib'737''45''8743'_1706 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45'distrib'737''45''8743'_232
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∨-idem
d_'8744''45'idem_1708 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'idem_1708 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'idem_1708 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'idem_1708 T_BooleanAlgebra_2920
v2
du_'8744''45'idem_1708 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'idem_1708 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'idem_1708 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_Lattice_1144 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'idem_1612
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-idempotent
d_'8744''45'idempotent_1710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'idempotent_1710 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'idempotent_1710 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'idempotent_1710 T_BooleanAlgebra_2920
v2
du_'8744''45'idempotent_1710 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'idempotent_1710 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'idempotent_1710 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_Lattice_1144 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'idempotent_1710
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-isBand
d_'8744''45'isBand_1712 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_'8744''45'isBand_1712 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsBand_230
d_'8744''45'isBand_1712 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_IsBand_230
du_'8744''45'isBand_1712 T_BooleanAlgebra_2920
v2
du_'8744''45'isBand_1712 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_230
du_'8744''45'isBand_1712 :: T_BooleanAlgebra_2920 -> T_IsBand_230
du_'8744''45'isBand_1712 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsBand_230
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsBand_230) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsBand_230
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'isBand_1620
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-isMagma
d_'8744''45'isMagma_1714 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8744''45'isMagma_1714 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMagma_86
d_'8744''45'isMagma_1714 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_IsMagma_86
du_'8744''45'isMagma_1714 T_BooleanAlgebra_2920
v2
du_'8744''45'isMagma_1714 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_'8744''45'isMagma_1714 :: T_BooleanAlgebra_2920 -> T_IsMagma_86
du_'8744''45'isMagma_1714 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsMagma_86
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsMagma_86) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsMagma_86
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'isMagma_1616
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-isOrderTheoreticJoinSemilattice
d_'8743''45'isOrderTheoreticJoinSemilattice_1716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsJoinSemilattice_68
d_'8743''45'isOrderTheoreticJoinSemilattice_1716 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsJoinSemilattice_68
d_'8743''45'isOrderTheoreticJoinSemilattice_1716 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsJoinSemilattice_68
du_'8743''45'isOrderTheoreticJoinSemilattice_1716 T_BooleanAlgebra_2920
v2
du_'8743''45'isOrderTheoreticJoinSemilattice_1716 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsJoinSemilattice_68
du_'8743''45'isOrderTheoreticJoinSemilattice_1716 :: T_BooleanAlgebra_2920 -> T_IsJoinSemilattice_68
du_'8743''45'isOrderTheoreticJoinSemilattice_1716 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsJoinSemilattice_68
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_IsJoinSemilattice_68) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_IsJoinSemilattice_68
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'isOrderTheoreticJoinSemilattice_178
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'semilattice_1624
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-isOrderTheoreticMeetSemilattice
d_'8743''45'isOrderTheoreticMeetSemilattice_1718 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsMeetSemilattice_438
d_'8743''45'isOrderTheoreticMeetSemilattice_1718 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMeetSemilattice_438
d_'8743''45'isOrderTheoreticMeetSemilattice_1718 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsMeetSemilattice_438
du_'8743''45'isOrderTheoreticMeetSemilattice_1718 T_BooleanAlgebra_2920
v2
du_'8743''45'isOrderTheoreticMeetSemilattice_1718 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsMeetSemilattice_438
du_'8743''45'isOrderTheoreticMeetSemilattice_1718 :: T_BooleanAlgebra_2920 -> T_IsMeetSemilattice_438
du_'8743''45'isOrderTheoreticMeetSemilattice_1718 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsMeetSemilattice_438
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_IsMeetSemilattice_438)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_IsMeetSemilattice_438
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'isOrderTheoreticMeetSemilattice_176
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'semilattice_1624
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∨-isSemigroup
d_'8744''45'isSemigroup_1720 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8744''45'isSemigroup_1720 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemigroup_194
d_'8744''45'isSemigroup_1720 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemigroup_194
du_'8744''45'isSemigroup_1720 T_BooleanAlgebra_2920
v2
du_'8744''45'isSemigroup_1720 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_'8744''45'isSemigroup_1720 :: T_BooleanAlgebra_2920 -> T_IsSemigroup_194
du_'8744''45'isSemigroup_1720 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsSemigroup_194
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsSemigroup_194) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'isSemigroup_1618
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-isSemilattice
d_'8744''45'isSemilattice_1722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
d_'8744''45'isSemilattice_1722 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemilattice_312
d_'8744''45'isSemilattice_1722 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemilattice_312
du_'8744''45'isSemilattice_1722 T_BooleanAlgebra_2920
v2
du_'8744''45'isSemilattice_1722 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
du_'8744''45'isSemilattice_1722 :: T_BooleanAlgebra_2920 -> T_IsSemilattice_312
du_'8744''45'isSemilattice_1722 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsSemilattice_312
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsSemilattice_312) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsSemilattice_312
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'isSemilattice_1622
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∧-orderTheoreticJoinSemilattice
d_'8743''45'orderTheoreticJoinSemilattice_1724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_JoinSemilattice_170
d_'8743''45'orderTheoreticJoinSemilattice_1724 :: () -> () -> T_BooleanAlgebra_2920 -> T_JoinSemilattice_170
d_'8743''45'orderTheoreticJoinSemilattice_1724 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_JoinSemilattice_170
du_'8743''45'orderTheoreticJoinSemilattice_1724 T_BooleanAlgebra_2920
v2
du_'8743''45'orderTheoreticJoinSemilattice_1724 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_JoinSemilattice_170
du_'8743''45'orderTheoreticJoinSemilattice_1724 :: T_BooleanAlgebra_2920 -> T_JoinSemilattice_170
du_'8743''45'orderTheoreticJoinSemilattice_1724 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_JoinSemilattice_170
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_JoinSemilattice_170) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_JoinSemilattice_170
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'orderTheoreticJoinSemilattice_182
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'semilattice_1624
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∧-orderTheoreticMeetSemilattice
d_'8743''45'orderTheoreticMeetSemilattice_1726 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_MeetSemilattice_540
d_'8743''45'orderTheoreticMeetSemilattice_1726 :: () -> () -> T_BooleanAlgebra_2920 -> T_MeetSemilattice_540
d_'8743''45'orderTheoreticMeetSemilattice_1726 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_MeetSemilattice_540
du_'8743''45'orderTheoreticMeetSemilattice_1726 T_BooleanAlgebra_2920
v2
du_'8743''45'orderTheoreticMeetSemilattice_1726 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_MeetSemilattice_540
du_'8743''45'orderTheoreticMeetSemilattice_1726 :: T_BooleanAlgebra_2920 -> T_MeetSemilattice_540
du_'8743''45'orderTheoreticMeetSemilattice_1726 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_MeetSemilattice_540
forall a b. a -> b
coe
      (let v2 :: t
v2
             = (T_DistributiveLattice_1228 -> T_Lattice_1144) -> AgdaAny -> t
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Semilattice_402 -> T_MeetSemilattice_540) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Semilattice_402 -> T_MeetSemilattice_540
MAlonzo.Code.Algebra.Properties.Semilattice.du_'8743''45'orderTheoreticMeetSemilattice_180
            ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'semilattice_1624
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Algebra.Properties.BooleanAlgebra._.∨-semilattice
d_'8744''45'semilattice_1728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
d_'8744''45'semilattice_1728 :: () -> () -> T_BooleanAlgebra_2920 -> T_Semilattice_402
d_'8744''45'semilattice_1728 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Semilattice_402
du_'8744''45'semilattice_1728 T_BooleanAlgebra_2920
v2
du_'8744''45'semilattice_1728 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
du_'8744''45'semilattice_1728 :: T_BooleanAlgebra_2920 -> T_Semilattice_402
du_'8744''45'semilattice_1728 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_Semilattice_402
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_Semilattice_402) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_Semilattice_402
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'semilattice_1624
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-∧-distrib
d_'8744''45''8743''45'distrib_1730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45''8743''45'distrib_1730 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8744''45''8743''45'distrib_1730 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45''8743''45'distrib_1730 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'distrib_1730 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45''8743''45'distrib_1730 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45''8743''45'distrib_1730 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_DistributiveLattice_1228 -> T_Σ_14
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45''8743''45'distrib_266
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∨-∧-distribˡ
d_'8744''45''8743''45'distrib'737'_1732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8744''45''8743''45'distrib'737'_1732 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8744''45''8743''45'distrib'737'_1732 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45''8743''45'distrib'737'_1732 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'distrib'737'_1732 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45''8743''45'distrib'737'_1732 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8744''45''8743''45'distrib'737'_1732 T_BooleanAlgebra_2920
v0
  = (T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45''8743''45'distrib'737'_264
      ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra._.∨-∧-isOrderTheoreticLattice
d_'8744''45''8743''45'isOrderTheoreticLattice_1734 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsLattice_810
d_'8744''45''8743''45'isOrderTheoreticLattice_1734 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsLattice_810
d_'8744''45''8743''45'isOrderTheoreticLattice_1734 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsLattice_810
du_'8744''45''8743''45'isOrderTheoreticLattice_1734 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'isOrderTheoreticLattice_1734 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_IsLattice_810
du_'8744''45''8743''45'isOrderTheoreticLattice_1734 :: T_BooleanAlgebra_2920 -> T_IsLattice_810
du_'8744''45''8743''45'isOrderTheoreticLattice_1734 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_IsLattice_810
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_IsLattice_810) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsLattice_810
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45''8743''45'isOrderTheoreticLattice_1650
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra._.∨-∧-orderTheoreticLattice
d_'8744''45''8743''45'orderTheoreticLattice_1736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_Lattice_898
d_'8744''45''8743''45'orderTheoreticLattice_1736 :: () -> () -> T_BooleanAlgebra_2920 -> T_Lattice_898
d_'8744''45''8743''45'orderTheoreticLattice_1736 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Lattice_898
du_'8744''45''8743''45'orderTheoreticLattice_1736 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'orderTheoreticLattice_1736 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Relation.Binary.Lattice.T_Lattice_898
du_'8744''45''8743''45'orderTheoreticLattice_1736 :: T_BooleanAlgebra_2920 -> T_Lattice_898
du_'8744''45''8743''45'orderTheoreticLattice_1736 T_BooleanAlgebra_2920
v0
  = let v1 :: t
v1
          = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
              (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
    AgdaAny -> T_Lattice_898
forall a b. a -> b
coe
      ((T_Lattice_1144 -> T_Lattice_898) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_Lattice_898
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45''8743''45'orderTheoreticLattice_1706
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Algebra.Properties.BooleanAlgebra.∨-complementˡ
d_'8744''45'complement'737'_1738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'complement'737'_1738 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'complement'737'_1738 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v2
du_'8744''45'complement'737'_1738 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v0
  = (T_Setoid_44
 -> (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
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'43'inv'691''8658'inv'737'_242
      (let v1 :: t
v1
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.∨-complement
d_'8744''45'complement_1740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'complement_1740 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8744''45'complement_1740 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'complement_1740 T_BooleanAlgebra_2920
v2
du_'8744''45'complement_1740 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45'complement_1740 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'complement_1740 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.∧-complementˡ
d_'8743''45'complement'737'_1742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'complement'737'_1742 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'complement'737'_1742 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'complement'737'_1742 T_BooleanAlgebra_2920
v2
du_'8743''45'complement'737'_1742 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'complement'737'_1742 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'complement'737'_1742 T_BooleanAlgebra_2920
v0
  = (T_Setoid_44
 -> (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
MAlonzo.Code.Algebra.Consequences.Setoid.du_comm'43'inv'691''8658'inv'737'_242
      (let v1 :: t
v1
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.∧-complement
d_'8743''45'complement_1744 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'complement_1744 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8743''45'complement_1744 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'complement_1744 T_BooleanAlgebra_2920
v2
du_'8743''45'complement_1744 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'complement_1744 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'complement_1744 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'complement'737'_1742 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.∧-∨-isBooleanAlgebra
d_'8743''45''8744''45'isBooleanAlgebra_1746 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsBooleanAlgebra_1864
d_'8743''45''8744''45'isBooleanAlgebra_1746 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
d_'8743''45''8744''45'isBooleanAlgebra_1746 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
du_'8743''45''8744''45'isBooleanAlgebra_1746 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'isBooleanAlgebra_1746 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsBooleanAlgebra_1864
du_'8743''45''8744''45'isBooleanAlgebra_1746 :: T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
du_'8743''45''8744''45'isBooleanAlgebra_1746 T_BooleanAlgebra_2920
v0
  = (T_IsDistributiveLattice_814
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsBooleanAlgebra_1864)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
      T_IsDistributiveLattice_814
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Structures.C_IsBooleanAlgebra'46'constructor_59337
      ((T_DistributiveLattice_1228 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_DistributiveLattice_1228 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'isDistributiveLattice_260
         ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
      ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
      ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
      ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.∧-∨-booleanAlgebra
d_'8743''45''8744''45'booleanAlgebra_1748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920
d_'8743''45''8744''45'booleanAlgebra_1748 :: () -> () -> T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
d_'8743''45''8744''45'booleanAlgebra_1748 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
du_'8743''45''8744''45'booleanAlgebra_1748 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'booleanAlgebra_1748 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920
du_'8743''45''8744''45'booleanAlgebra_1748 :: T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
du_'8743''45''8744''45'booleanAlgebra_1748 T_BooleanAlgebra_2920
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsBooleanAlgebra_1864
 -> T_BooleanAlgebra_2920)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_BooleanAlgebra_2920
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsBooleanAlgebra_1864
-> T_BooleanAlgebra_2920
MAlonzo.Code.Algebra.Bundles.C_BooleanAlgebra'46'constructor_50705
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
du_'8743''45''8744''45'isBooleanAlgebra_1746 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-identityʳ
d_'8743''45'identity'691'_1750 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'identity'691'_1750 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'identity'691'_1750 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 T_BooleanAlgebra_2920
v2 AgdaAny
v3
du_'8743''45'identity'691'_1750 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 T_BooleanAlgebra_2920
v0 AgdaAny
v1
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v2 :: t
v2
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         AgdaAny
v1
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v2 :: t
v2
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            AgdaAny
v1 AgdaAny
v1
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))
            (let v2 :: T_IsBooleanAlgebra_1864
v2
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v3 :: T_IsDistributiveLattice_814
v3
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'absorbs'45''8744'_792
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> T_IsDistributiveLattice_814
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3)) AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))))
         (let v2 :: T_IsBooleanAlgebra_1864
v2
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v3 :: T_IsDistributiveLattice_814
v3
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                           T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                        (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        AgdaAny
v1))))))
-- Algebra.Properties.BooleanAlgebra.∧-identityˡ
d_'8743''45'identity'737'_1754 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'identity'737'_1754 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'identity'737'_1754 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 T_BooleanAlgebra_2920
v2
du_'8743''45'identity'737'_1754 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 T_BooleanAlgebra_2920
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'43'id'691''8658'id'737'_178
      (let v1 :: t
v1
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-identity
d_'8743''45'identity_1756 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'identity_1756 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8743''45'identity_1756 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'identity_1756 T_BooleanAlgebra_2920
v2
du_'8743''45'identity_1756 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'identity_1756 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'identity_1756 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-identityʳ
d_'8744''45'identity'691'_1758 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'identity'691'_1758 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'identity'691'_1758 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 T_BooleanAlgebra_2920
v2 AgdaAny
v3
du_'8744''45'identity'691'_1758 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 T_BooleanAlgebra_2920
v0 AgdaAny
v1
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v2 :: t
v2
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         AgdaAny
v1
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v2 :: t
v2
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            AgdaAny
v1 AgdaAny
v1
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))
            (let v2 :: T_IsBooleanAlgebra_1864
v2
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v3 :: T_IsDistributiveLattice_814
v3
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'absorbs'45''8743'_790
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> T_IsDistributiveLattice_814
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3)) AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))))
         (let v2 :: T_IsDistributiveLattice_814
v2
                = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                    ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
               ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v2))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                        T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     AgdaAny
v1)))))
-- Algebra.Properties.BooleanAlgebra.∨-identityˡ
d_'8744''45'identity'737'_1762 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'identity'737'_1762 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'identity'737'_1762 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 T_BooleanAlgebra_2920
v2
du_'8744''45'identity'737'_1762 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 T_BooleanAlgebra_2920
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'43'id'691''8658'id'737'_178
      (let v1 :: t
v1
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-identity
d_'8744''45'identity_1764 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'identity_1764 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8744''45'identity_1764 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'identity_1764 T_BooleanAlgebra_2920
v2
du_'8744''45'identity_1764 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45'identity_1764 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'identity_1764 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-zeroʳ
d_'8743''45'zero'691'_1766 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'zero'691'_1766 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'zero'691'_1766 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 T_BooleanAlgebra_2920
v2 AgdaAny
v3
du_'8743''45'zero'691'_1766 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 T_BooleanAlgebra_2920
v0 AgdaAny
v1
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v2 :: t
v2
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v2 :: t
v2
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v2 :: t
v2
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                  ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     AgdaAny
v1))
               (let v2 :: T_IsBooleanAlgebra_1864
v2
                      = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v3 :: T_IsDistributiveLattice_814
v3
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                        ((T_Lattice_1144 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'idempotent_1708
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                              ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                           AgdaAny
v1)))))
            ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
               (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                  ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                     ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               AgdaAny
v1 AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         (let v2 :: T_IsBooleanAlgebra_1864
v2
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v3 :: T_IsDistributiveLattice_814
v3
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     AgdaAny
v1)))))
-- Algebra.Properties.BooleanAlgebra.∧-zeroˡ
d_'8743''45'zero'737'_1770 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8743''45'zero'737'_1770 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8743''45'zero'737'_1770 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_1770 T_BooleanAlgebra_2920
v2
du_'8743''45'zero'737'_1770 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8743''45'zero'737'_1770 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_1770 T_BooleanAlgebra_2920
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'43'ze'691''8658'ze'737'_190
      (let v1 :: t
v1
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-zero
d_'8743''45'zero_1772 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'zero_1772 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8743''45'zero_1772 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'zero_1772 T_BooleanAlgebra_2920
v2
du_'8743''45'zero_1772 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'zero_1772 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'zero_1772 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_1770 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-zeroʳ
d_'8744''45'zero'691'_1776 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'zero'691'_1776 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'zero'691'_1776 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 T_BooleanAlgebra_2920
v2 AgdaAny
v3
du_'8744''45'zero'691'_1776 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 T_BooleanAlgebra_2920
v0 AgdaAny
v1
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v2 :: t
v2
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v2 :: t
v2
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v2 :: t
v2
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v2 :: t
v2
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                  ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     AgdaAny
v1))
               (let v2 :: T_IsBooleanAlgebra_1864
v2
                      = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v3 :: T_IsDistributiveLattice_814
v3
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                        ((T_Lattice_1144 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'idempotent_1710
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                              ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                           AgdaAny
v1)))))
            ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
               (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                  ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                     ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               AgdaAny
v1 AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         (let v2 :: T_IsBooleanAlgebra_1864
v2
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v3 :: T_IsDistributiveLattice_814
v3
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v2) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     AgdaAny
v1)))))
-- Algebra.Properties.BooleanAlgebra.∨-zeroˡ
d_'8744''45'zero'737'_1780 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8744''45'zero'737'_1780 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8744''45'zero'737'_1780 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'737'_1780 T_BooleanAlgebra_2920
v2
du_'8744''45'zero'737'_1780 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8744''45'zero'737'_1780 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'737'_1780 T_BooleanAlgebra_2920
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'43'ze'691''8658'ze'737'_190
      (let v1 :: t
v1
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-zero
d_'8744''45'zero_1782 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8744''45'zero_1782 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8744''45'zero_1782 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'zero_1782 T_BooleanAlgebra_2920
v2
du_'8744''45'zero_1782 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8744''45'zero_1782 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'zero_1782 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'737'_1780 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-⊥-isMonoid
d_'8744''45''8869''45'isMonoid_1784 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'8744''45''8869''45'isMonoid_1784 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMonoid_358
d_'8744''45''8869''45'isMonoid_1784 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8744''45''8869''45'isMonoid_1784 T_BooleanAlgebra_2920
v2
du_'8744''45''8869''45'isMonoid_1784 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
du_'8744''45''8869''45'isMonoid_1784 :: T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8744''45''8869''45'isMonoid_1784 T_BooleanAlgebra_2920
v0
  = (T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358)
-> AgdaAny -> AgdaAny -> T_IsMonoid_358
forall a b. a -> b
coe
      T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_7687
      ((T_Lattice_1144 -> T_IsSemigroup_194) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'isSemigroup_1618
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
            ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
               (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
      ((T_BooleanAlgebra_2920 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'identity_1764 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-⊤-isMonoid
d_'8743''45''8868''45'isMonoid_1786 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'8743''45''8868''45'isMonoid_1786 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMonoid_358
d_'8743''45''8868''45'isMonoid_1786 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8743''45''8868''45'isMonoid_1786 T_BooleanAlgebra_2920
v2
du_'8743''45''8868''45'isMonoid_1786 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
du_'8743''45''8868''45'isMonoid_1786 :: T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8743''45''8868''45'isMonoid_1786 T_BooleanAlgebra_2920
v0
  = (T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358)
-> AgdaAny -> AgdaAny -> T_IsMonoid_358
forall a b. a -> b
coe
      T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_7687
      ((T_Lattice_1144 -> T_IsSemigroup_194) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_Lattice_1144 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'isSemigroup_1594
         ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
            ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
               (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
      ((T_BooleanAlgebra_2920 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'identity_1756 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-⊥-isCommutativeMonoid
d_'8744''45''8869''45'isCommutativeMonoid_1788 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'8744''45''8869''45'isCommutativeMonoid_1788 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
d_'8744''45''8869''45'isCommutativeMonoid_1788 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
du_'8744''45''8869''45'isCommutativeMonoid_1788 T_BooleanAlgebra_2920
v2
du_'8744''45''8869''45'isCommutativeMonoid_1788 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
du_'8744''45''8869''45'isCommutativeMonoid_1788 :: T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
du_'8744''45''8869''45'isCommutativeMonoid_1788 T_BooleanAlgebra_2920
v0
  = (T_IsMonoid_358
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_406)
-> AgdaAny -> AgdaAny -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
      T_IsMonoid_358
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.C_IsCommutativeMonoid'46'constructor_9361
      ((T_BooleanAlgebra_2920 -> T_IsMonoid_358) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8744''45''8869''45'isMonoid_1784 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
-- Algebra.Properties.BooleanAlgebra.∧-⊤-isCommutativeMonoid
d_'8743''45''8868''45'isCommutativeMonoid_1790 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'8743''45''8868''45'isCommutativeMonoid_1790 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
d_'8743''45''8868''45'isCommutativeMonoid_1790 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
du_'8743''45''8868''45'isCommutativeMonoid_1790 T_BooleanAlgebra_2920
v2
du_'8743''45''8868''45'isCommutativeMonoid_1790 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
du_'8743''45''8868''45'isCommutativeMonoid_1790 :: T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
du_'8743''45''8868''45'isCommutativeMonoid_1790 T_BooleanAlgebra_2920
v0
  = (T_IsMonoid_358
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_406)
-> AgdaAny -> AgdaAny -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
      T_IsMonoid_358
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.C_IsCommutativeMonoid'46'constructor_9361
      ((T_BooleanAlgebra_2920 -> T_IsMonoid_358) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8743''45''8868''45'isMonoid_1786 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
-- Algebra.Properties.BooleanAlgebra.∨-∧-isSemiring
d_'8744''45''8743''45'isSemiring_1792 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_'8744''45''8743''45'isSemiring_1792 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemiring_1238
d_'8744''45''8743''45'isSemiring_1792 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemiring_1238
du_'8744''45''8743''45'isSemiring_1792 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'isSemiring_1792 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
du_'8744''45''8743''45'isSemiring_1792 :: T_BooleanAlgebra_2920 -> T_IsSemiring_1238
du_'8744''45''8743''45'isSemiring_1792 T_BooleanAlgebra_2920
v0
  = (T_IsSemiringWithoutAnnihilatingZero_1142
 -> T_Σ_14 -> T_IsSemiring_1238)
-> AgdaAny -> AgdaAny -> T_IsSemiring_1238
forall a b. a -> b
coe
      T_IsSemiringWithoutAnnihilatingZero_1142
-> T_Σ_14 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.C_IsSemiring'46'constructor_37213
      ((T_IsCommutativeMonoid_406
 -> T_IsMonoid_358
 -> T_Σ_14
 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsCommutativeMonoid_406
-> T_IsMonoid_358
-> T_Σ_14
-> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.C_IsSemiringWithoutAnnihilatingZero'46'constructor_33703
         ((T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
du_'8744''45''8869''45'isCommutativeMonoid_1788 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_BooleanAlgebra_2920 -> T_IsMonoid_358) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8743''45''8868''45'isMonoid_1786 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_DistributiveLattice_1228 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228 -> T_Σ_14
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib_272
            ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
               (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
      ((T_BooleanAlgebra_2920 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'zero_1772 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-∨-isSemiring
d_'8743''45''8744''45'isSemiring_1794 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_'8743''45''8744''45'isSemiring_1794 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemiring_1238
d_'8743''45''8744''45'isSemiring_1794 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemiring_1238
du_'8743''45''8744''45'isSemiring_1794 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'isSemiring_1794 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
du_'8743''45''8744''45'isSemiring_1794 :: T_BooleanAlgebra_2920 -> T_IsSemiring_1238
du_'8743''45''8744''45'isSemiring_1794 T_BooleanAlgebra_2920
v0
  = (T_IsSemiringWithoutAnnihilatingZero_1142
 -> T_Σ_14 -> T_IsSemiring_1238)
-> AgdaAny -> AgdaAny -> T_IsSemiring_1238
forall a b. a -> b
coe
      T_IsSemiringWithoutAnnihilatingZero_1142
-> T_Σ_14 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.C_IsSemiring'46'constructor_37213
      ((T_IsCommutativeMonoid_406
 -> T_IsMonoid_358
 -> T_Σ_14
 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsCommutativeMonoid_406
-> T_IsMonoid_358
-> T_Σ_14
-> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.C_IsSemiringWithoutAnnihilatingZero'46'constructor_33703
         ((T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsCommutativeMonoid_406
du_'8743''45''8868''45'isCommutativeMonoid_1790 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_BooleanAlgebra_2920 -> T_IsMonoid_358) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8744''45''8869''45'isMonoid_1784 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_DistributiveLattice_1228 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228 -> T_Σ_14
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45''8743''45'distrib_266
            ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
               (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
      ((T_BooleanAlgebra_2920 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_Σ_14
du_'8744''45'zero_1782 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∨-∧-isCommutativeSemiring
d_'8744''45''8743''45'isCommutativeSemiring_1796 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
d_'8744''45''8743''45'isCommutativeSemiring_1796 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
d_'8744''45''8743''45'isCommutativeSemiring_1796 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
du_'8744''45''8743''45'isCommutativeSemiring_1796 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'isCommutativeSemiring_1796 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
du_'8744''45''8743''45'isCommutativeSemiring_1796 :: T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
du_'8744''45''8743''45'isCommutativeSemiring_1796 T_BooleanAlgebra_2920
v0
  = (T_IsSemiring_1238
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1344)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe
      T_IsSemiring_1238
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemiring'46'constructor_40675
      ((T_BooleanAlgebra_2920 -> T_IsSemiring_1238) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsSemiring_1238
du_'8744''45''8743''45'isSemiring_1792 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
-- Algebra.Properties.BooleanAlgebra.∧-∨-isCommutativeSemiring
d_'8743''45''8744''45'isCommutativeSemiring_1798 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
d_'8743''45''8744''45'isCommutativeSemiring_1798 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
d_'8743''45''8744''45'isCommutativeSemiring_1798 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
du_'8743''45''8744''45'isCommutativeSemiring_1798 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'isCommutativeSemiring_1798 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
du_'8743''45''8744''45'isCommutativeSemiring_1798 :: T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
du_'8743''45''8744''45'isCommutativeSemiring_1798 T_BooleanAlgebra_2920
v0
  = (T_IsSemiring_1238
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1344)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe
      T_IsSemiring_1238
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemiring'46'constructor_40675
      ((T_BooleanAlgebra_2920 -> T_IsSemiring_1238) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsSemiring_1238
du_'8743''45''8744''45'isSemiring_1794 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
-- Algebra.Properties.BooleanAlgebra.∨-∧-commutativeSemiring
d_'8744''45''8743''45'commutativeSemiring_1800 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2094
d_'8744''45''8743''45'commutativeSemiring_1800 :: () -> () -> T_BooleanAlgebra_2920 -> T_CommutativeSemiring_2094
d_'8744''45''8743''45'commutativeSemiring_1800 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_CommutativeSemiring_2094
du_'8744''45''8743''45'commutativeSemiring_1800 T_BooleanAlgebra_2920
v2
du_'8744''45''8743''45'commutativeSemiring_1800 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2094
du_'8744''45''8743''45'commutativeSemiring_1800 :: T_BooleanAlgebra_2920 -> T_CommutativeSemiring_2094
du_'8744''45''8743''45'commutativeSemiring_1800 T_BooleanAlgebra_2920
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsCommutativeSemiring_1344
 -> T_CommutativeSemiring_2094)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_CommutativeSemiring_2094
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsCommutativeSemiring_1344
-> T_CommutativeSemiring_2094
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemiring'46'constructor_36513
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
du_'8744''45''8743''45'isCommutativeSemiring_1796 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.∧-∨-commutativeSemiring
d_'8743''45''8744''45'commutativeSemiring_1802 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2094
d_'8743''45''8744''45'commutativeSemiring_1802 :: () -> () -> T_BooleanAlgebra_2920 -> T_CommutativeSemiring_2094
d_'8743''45''8744''45'commutativeSemiring_1802 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_CommutativeSemiring_2094
du_'8743''45''8744''45'commutativeSemiring_1802 T_BooleanAlgebra_2920
v2
du_'8743''45''8744''45'commutativeSemiring_1802 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2094
du_'8743''45''8744''45'commutativeSemiring_1802 :: T_BooleanAlgebra_2920 -> T_CommutativeSemiring_2094
du_'8743''45''8744''45'commutativeSemiring_1802 T_BooleanAlgebra_2920
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsCommutativeSemiring_1344
 -> T_CommutativeSemiring_2094)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_CommutativeSemiring_2094
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsCommutativeSemiring_1344
-> T_CommutativeSemiring_2094
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemiring'46'constructor_36513
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsCommutativeSemiring_1344
du_'8743''45''8744''45'isCommutativeSemiring_1798 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.lemma
d_lemma_1808 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lemma_1808 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lemma_1808 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 = T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_lemma_1808 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 :: T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 T_BooleanAlgebra_2920
v0 AgdaAny
v1 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v5 :: t
v5
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v5 :: t
v5
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
               AgdaAny
v2
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                  AgdaAny
v2
                  ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                     ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                           AgdaAny
v2)
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                        ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                           (let v5 :: t
v5
                                  = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                              AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v2)
                           AgdaAny
v2
                           ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                              (let v5 :: t
v5
                                     = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v2)
                              AgdaAny
v2 AgdaAny
v2
                              (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                                 ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                    ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                                  (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                             ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
                                 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           (let v5 :: T_IsDistributiveLattice_814
v5
                                  = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                      ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                                 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                                 ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                                    (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                                    AgdaAny
v1))))
                        ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'691'_270
                           ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           AgdaAny
v2 AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
                     (let v5 :: T_IsBooleanAlgebra_1864
v5
                            = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (let v6 :: T_IsDistributiveLattice_814
v6
                               = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                   (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v5) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                              ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v6))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                              ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
                  (let v5 :: T_IsDistributiveLattice_814
v5
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'complement'737'_1742 T_BooleanAlgebra_2920
v0 AgdaAny
v1))))
               ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'737'_268
                  ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1 AgdaAny
v2))
            (let v5 :: T_IsBooleanAlgebra_1864
v5
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v6 :: T_IsDistributiveLattice_814
v6
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v5) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v6))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
-- Algebra.Properties.BooleanAlgebra.⊥≉⊤
d_'8869''8777''8868'_1818 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
d_'8869''8777''8868'_1818 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny
d_'8869''8777''8868'_1818 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny
du_'8869''8777''8868'_1818 T_BooleanAlgebra_2920
v2
du_'8869''8777''8868'_1818 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
du_'8869''8777''8868'_1818 :: T_BooleanAlgebra_2920 -> AgdaAny
du_'8869''8777''8868'_1818 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.⊤≉⊥
d_'8868''8777''8869'_1820 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
d_'8868''8777''8869'_1820 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny
d_'8868''8777''8869'_1820 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny
du_'8868''8777''8869'_1820 T_BooleanAlgebra_2920
v2
du_'8868''8777''8869'_1820 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
du_'8868''8777''8869'_1820 :: T_BooleanAlgebra_2920 -> AgdaAny
du_'8868''8777''8869'_1820 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
-- Algebra.Properties.BooleanAlgebra.¬-involutive
d_'172''45'involutive_1822 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'172''45'involutive_1822 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'172''45'involutive_1822 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 T_BooleanAlgebra_2920
v2 AgdaAny
v3
du_'172''45'involutive_1822 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'172''45'involutive_1822 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 T_BooleanAlgebra_2920
v0 AgdaAny
v1
  = (T_BooleanAlgebra_2920
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'complement'737'_1742 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
-- Algebra.Properties.BooleanAlgebra.deMorgan₁
d_deMorgan'8321'_1830 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8321'_1830 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8321'_1830 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
du_deMorgan'8321'_1830 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T_BooleanAlgebra_2920
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma_1808 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1840 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1844 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
-- Algebra.Properties.BooleanAlgebra._.lem₁
d_lem'8321'_1840 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_1840 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_1840 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1840 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
du_lem'8321'_1840 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1840 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1840 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
         (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v3 :: t
v3
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                        (let v3 :: t
v3
                               = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                           ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                              ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                            (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                       ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'691'_1758 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                           ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'__250
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
                        ((T_IsLattice_740
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-> T_IsLattice_740
-> AgdaAny
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forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                           (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                              (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'__250
                     (let v3 :: T_IsDistributiveLattice_814
v3
                            = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                           ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                           ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                              (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              AgdaAny
v1)))
                     ((T_IsLattice_740
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        (((AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
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-> (AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        (((AgdaAny -> AgdaAny)
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-> (AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
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-> (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'__308
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     (let v3 :: T_IsDistributiveLattice_814
v3
                            = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                           ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                              (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'__250
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v2 AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
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-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v1 AgdaAny
v2 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
            (let v3 :: T_IsDistributiveLattice_814
v3
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'_302
                     (\ AgdaAny
v4 ->
                        (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     (\ AgdaAny
v4 AgdaAny
v5 -> AgdaAny
v4)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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'__308
                     (\ AgdaAny
v4 AgdaAny
v5 -> AgdaAny
v5)
                     (\ AgdaAny
v4 ->
                        (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1))
                  (let v4 :: T_IsDistributiveLattice_814
v4
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v4))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1)
                        ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                           (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                           AgdaAny
v1 AgdaAny
v2))))))
         ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'737'_268
            ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
-- Algebra.Properties.BooleanAlgebra._.lem₃
d_lem'8323'_1842 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_1842 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_1842 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1842 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
du_lem'8323'_1842 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1842 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1842 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v3 :: t
v3
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v2 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))))
            (let v3 :: T_IsDistributiveLattice_814
v3
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     AgdaAny
v1))))
         (let v3 :: T_IsBooleanAlgebra_1864
v3
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_814
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_814
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45''8743''45'distrib'691'_868
               (T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1 AgdaAny
v2)))
-- Algebra.Properties.BooleanAlgebra._.lem₂
d_lem'8322'_1844 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_1844 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_1844 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1844 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
du_lem'8322'_1844 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1844 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1844 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v3 :: t
v3
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                        ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                           ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'zero'691'_1776 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
                  (let v3 :: T_IsDistributiveLattice_814
v3
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                           (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           AgdaAny
v2))))
               ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
            (let v3 :: T_IsBooleanAlgebra_1864
v3
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v4 :: T_IsDistributiveLattice_814
v4
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v3) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v4))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1842 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))))
         ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
            (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
               ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
-- Algebra.Properties.BooleanAlgebra.deMorgan₂
d_deMorgan'8322'_1850 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8322'_1850 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_deMorgan'8322'_1850 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_1850 T_BooleanAlgebra_2920
v2 AgdaAny
v3 AgdaAny
v4
du_deMorgan'8322'_1850 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_1850 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_1850 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v3 :: t
v3
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
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v3
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-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
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v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
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-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
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forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
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v0)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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            ((T_IsBooleanAlgebra_1864
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forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
               (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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forall a b. a -> b
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forall a b. a -> b
coe
            T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
            (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
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MAlonzo.Code.Function.Base.du__'10216'_'10217'__250
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
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forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
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-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.XorRing._⊕_
d__'8853'__1866 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d__'8853'__1866 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d__'8853'__1866 ~T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 ~AgdaAny -> AgdaAny -> AgdaAny
v2 = (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du__'8853'__1866 AgdaAny -> AgdaAny -> AgdaAny
v1
du__'8853'__1866 ::
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du__'8853'__1866 :: (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du__'8853'__1866 AgdaAny -> AgdaAny -> AgdaAny
v0 = (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v0
-- Algebra.Properties.BooleanAlgebra.XorRing.helper
d_helper_1876 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_helper_1876 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_helper_1876 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_helper_1876 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_helper_1876 :: T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 T_BooleanAlgebra_2920
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'__250 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
      ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
         (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'_302
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'__308
            (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v8)
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3 AgdaAny
v4))
      ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
         (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3
         AgdaAny
v4 AgdaAny
v6)
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-cong
d_'8853''45'cong_1882 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'cong_1882 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'cong_1882 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 T_BooleanAlgebra_2920
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_1882 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'cong_1882 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v9 :: t
v9
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v9 :: t
v9
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v6)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
               (let v9 :: t
v9
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v9))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v6)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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
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_2920
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v6)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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'__250 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7)
                  ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'__250 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7)
                  ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-comm
d_'8853''45'comm_1896 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'comm_1896 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'comm_1896 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'8853''45'comm_1896 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_1896 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v5 :: t
v5
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v5 :: t
v5
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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
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_2920
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)
               ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  AgdaAny
v3 AgdaAny
v4)
               ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.¬-distribˡ-⊕
d_'172''45'distrib'737''45''8853'_1906 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'737''45''8853'_1906 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'172''45'distrib'737''45''8853'_1906 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'172''45'distrib'737''45''8853'_1906 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v5 :: t
v5
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v5 :: t
v5
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                  T_Setoid_44
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v5 :: t
v5
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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v4)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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v4 AgdaAny
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                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
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coe
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-> AgdaAny
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v5 :: t
v5
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
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forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
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forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                        (let v5 :: t
v5
                               = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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v0) in
                         AgdaAny -> AgdaAny
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                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
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MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
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v5))))
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                           (let v5 :: t
v5
                                  = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)))
                           ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
                           ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                              (let v5 :: t
v5
                                     = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
                              (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                                 ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                    ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                                  (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                             ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                                (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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4))
                           ((T_BooleanAlgebra_2920
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'_302
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                                 (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__308
                                 (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                                 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
                              (let v5 :: T_IsDistributiveLattice_814
v5
                                     = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                         ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                            T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                            (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
                                    ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                                    (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))
                              ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                                 (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                                 AgdaAny
v4 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
                        (let v5 :: T_IsDistributiveLattice_814
v5
                               = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                   ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                              ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_1850 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
                  ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
                     (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_1920 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                        ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                           (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_1920 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
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               ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
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-> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
                  (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  (((AgdaAny -> AgdaAny)
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
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                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))))
                     (\ AgdaAny
v5 AgdaAny
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
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coe
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-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
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                     (((AgdaAny -> AgdaAny -> AgdaAny)
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coe
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-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                        (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe
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-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
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-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))))
                  (((AgdaAny -> AgdaAny -> AgdaAny)
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coe
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-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))))
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coe
                        (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
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forall a b. a -> b
coe
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-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
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MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)))
                     (((AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
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-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                        (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
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-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                           (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                           (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))))
                  (let v5 :: T_IsDistributiveLattice_814
v5
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
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forall a b. a -> b
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                              (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              (\ AgdaAny
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v6)
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
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MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v7)
                              (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)))
                        (((AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
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                           (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
                           (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v7)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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'_302
                              (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v6)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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'__308
                              (\ AgdaAny
v6 AgdaAny
v7 -> AgdaAny
v7)
                              (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)))
                        (let v6 :: T_IsDistributiveLattice_814
v6
                               = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                   ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                              ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
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'_302
                                 (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                                 (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v7)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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'__308
                                 (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v8)
                                 (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3))
                              ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
                                 (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v3)
                                 ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                                    (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                       ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                          T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                          ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                                    AgdaAny
v3 AgdaAny
v4))))))))
            ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
               (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))))
               ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'691'_270
                  ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))
                  AgdaAny
v3 AgdaAny
v4)))
         ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
            (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing._.lem
d_lem_1920 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem_1920 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem_1920 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 ~AgdaAny
v5 ~AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_1920 T_BooleanAlgebra_2920
v2 AgdaAny
v7 AgdaAny
v8
du_lem_1920 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem_1920 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem_1920 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v3 :: t
v3
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))))
               (let v3 :: T_IsDistributiveLattice_814
v3
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                        (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        AgdaAny
v1))))
            ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'737'_268
               ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
         (let v3 :: T_IsDistributiveLattice_814
v3
                = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                    ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
               ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.XorRing.¬-distribʳ-⊕
d_'172''45'distrib'691''45''8853'_1930 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'691''45''8853'_1930 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'172''45'distrib'691''45''8853'_1930 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_1930 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'172''45'distrib'691''45''8853'_1930 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_1930 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_1930 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v5 :: t
v5
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v5 :: t
v5
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)))
               ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
            ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
            (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-annihilates-¬
d_'8853''45'annihilates'45''172'_1940 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'annihilates'45''172'_1940 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'annihilates'45''172'_1940 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'annihilates'45''172'_1940 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
du_'8853''45'annihilates'45''172'_1940 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_1940 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'annihilates'45''172'_1940 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v5 :: t
v5
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v5 :: t
v5
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v5 :: t
v5
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)))
               ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_1930 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))
            ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
               (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3) AgdaAny
v4)
               ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v4)))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-identityˡ
d_'8853''45'identity'737'_1946 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'identity'737'_1946 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'identity'737'_1946 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_1946 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'identity'737'_1946 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'identity'737'_1946 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_1946 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)))
         AgdaAny
v3
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
            AgdaAny
v3
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
               AgdaAny
v3
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                  AgdaAny
v3 AgdaAny
v3
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                     (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
               (let v4 :: T_IsBooleanAlgebra_1864
v4
                      = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v5 :: T_IsDistributiveLattice_814
v5
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
du_'8869''8777''8868'_1818 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))))
            ((T_BooleanAlgebra_2920
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'737'_1770 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-identityʳ
d_'8853''45'identity'691'_1950 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'identity'691'_1950 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'identity'691'_1950 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_1950 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'identity'691'_1950 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'identity'691'_1950 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_1950 T_BooleanAlgebra_2920
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'__250
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
            ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
               T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
               ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v3)
         AgdaAny
v3)
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_1946 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-identity
d_'8853''45'identity_1952 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'identity_1952 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8853''45'identity_1952 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_1952 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'identity_1952 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'identity_1952 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_1952 T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_1946 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_1950 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-inverseˡ
d_'8853''45'inverse'737'_1954 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'inverse'737'_1954 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'inverse'737'_1954 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_1954 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'inverse'737'_1954 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_1954 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_1954 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v3)))
         (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v3)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
               ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                  (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  AgdaAny
v3))
            ((T_BooleanAlgebra_2920
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
               ((T_Lattice_1144 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8744''45'idempotent_1710
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                     ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                  AgdaAny
v3)
               ((T_Lattice_1144 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'idempotent_1708
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                     ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                  AgdaAny
v3)))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v3))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-inverseʳ
d_'8853''45'inverse'691'_1958 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8853''45'inverse'691'_1958 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_'8853''45'inverse'691'_1958 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_1958 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5
du_'8853''45'inverse'691'_1958 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_1958 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_1958 T_BooleanAlgebra_2920
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'__250
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
            ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
               T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
               ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_1954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-inverse
d_'8853''45'inverse_1960 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'inverse_1960 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8853''45'inverse_1960 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_1960 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'inverse_1960 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'inverse_1960 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_1960 T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_1954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_1958 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.∧-distribˡ-⊕
d_'8743''45'distrib'737''45''8853'_1962 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8853'_1962 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'737''45''8853'_1962 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_1962 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_'8743''45'distrib'737''45''8853'_1962 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_1962 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_1962 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v6 :: t
v6
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v6 :: t
v6
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v6 :: t
v6
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
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 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                  (let v6 :: t
v6
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                  ((T_Setoid_44
 -> AgdaAny
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-> AgdaAny
-> AgdaAny
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-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v6 :: t
v6
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                     ((T_Setoid_44
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-> AgdaAny
-> AgdaAny
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forall a b. a -> b
coe
                        T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
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-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                        (let v6 :: t
v6
                               = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                        ((T_Setoid_44
 -> AgdaAny
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-> AgdaAny
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forall a b. a -> b
coe
                           T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                           (let v6 :: t
v6
                                  = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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v3
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
                           ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                           ((T_Setoid_44
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forall a b. a -> b
coe
                              T_Setoid_44
-> AgdaAny
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-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                              (let v6 :: t
v6
                                     = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                              ((T_Setoid_44
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-> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
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-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                                 (let v6 :: t
v6
                                        = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                            (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                       ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                             AgdaAny
v5))))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                             AgdaAny
v5))))
                                 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    AgdaAny -> AgdaAny -> AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                                 ((T_Setoid_44
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-> AgdaAny
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-> AgdaAny
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-> AgdaAny
forall a b. a -> b
coe
                                    T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                                    (let v6 :: t
v6
                                           = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                               (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                          ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
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                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
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                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
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                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
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                                    ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
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                                       AgdaAny -> AgdaAny -> AgdaAny
v1
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
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                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                                    ((T_Setoid_44
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forall a b. a -> b
coe
                                       T_Setoid_44
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                                       (let v6 :: t
v6
                                              = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                                  (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                        AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                             ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v4)
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v5))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                                ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                                   AgdaAny
v3 AgdaAny
v4)
                                                ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                                   AgdaAny
v3 AgdaAny
v5))))
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          AgdaAny -> AgdaAny -> AgdaAny
v1
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          AgdaAny -> AgdaAny -> AgdaAny
v1
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v5))
                                       (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                                          ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                             ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                                           T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                                           (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                                 AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                                      ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                         T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                                         (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v4)
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v5)))
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          AgdaAny -> AgdaAny -> AgdaAny
v2
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                             AgdaAny
v5)))
                                    (let v6 :: T_IsDistributiveLattice_814
v6
                                           = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                                  (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                                          ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                             (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v6))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                                ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                                   AgdaAny
v3 AgdaAny
v4)
                                                ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                                   AgdaAny
v3 AgdaAny
v5)))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                                AgdaAny
v5))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v4)
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v5))
                                          ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'737'_268
                                             ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                                             AgdaAny
v3 AgdaAny
v4 AgdaAny
v5))))
                                 ((T_BooleanAlgebra_2920
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_helper_1876 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                                          ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                                             T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                             ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                                ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                             AgdaAny
v5)))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1976 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_1864
v6
                                     = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                         (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 (let v7 :: T_IsDistributiveLattice_814
v7
                                        = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                            (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v6) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                                       ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v7))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                                AgdaAny
v5)))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                                AgdaAny
v5)))
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                             AgdaAny
v5))))))
                           (let v6 :: T_IsDistributiveLattice_814
v6
                                  = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                      ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v6))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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'_302
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                                    (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v7)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__308
                                    (\ AgdaAny
v7 AgdaAny
v8 -> AgdaAny
v8)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5)))
                                 (let v7 :: T_IsBooleanAlgebra_1864
v7
                                        = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                            (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    (let v8 :: T_IsDistributiveLattice_814
v8
                                           = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                               (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v7) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
                                          ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                             (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v8))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4
                                                AgdaAny
v5))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                                             (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))))))))
                        ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8743''45''8744''45'distrib'737'_268
                           ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))))
                     (let v6 :: T_IsBooleanAlgebra_1864
v6
                            = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (let v7 :: T_IsDistributiveLattice_814
v7
                               = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                   (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v6) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                              ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v7))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5)))
                              ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1978 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'identity'737'_1762 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5)))))
               (let v6 :: T_IsDistributiveLattice_814
v6
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v6))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)))))
            ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
               (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                  ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                     ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               AgdaAny
v3 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
         (let v6 :: T_IsDistributiveLattice_814
v6
                = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                    ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
               ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing._.lem₂
d_lem'8322'_1974 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_1974 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8322'_1974 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1974 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8322'_1974 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1974 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1974 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1) AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1) AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)))
               ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  AgdaAny
v2 AgdaAny
v1 AgdaAny
v3))
            (let v4 :: T_IsDistributiveLattice_814
v4
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v4))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v1)
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v1 AgdaAny
v2))))
         ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
            (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
               ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
            AgdaAny
v1 AgdaAny
v2 AgdaAny
v3))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₁
d_lem'8321'_1976 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_1976 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8321'_1976 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1976 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8321'_1976 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1976 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_1976 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)))
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v1 AgdaAny
v2 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)))
               (let v4 :: T_IsBooleanAlgebra_1864
v4
                      = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (let v5 :: T_IsDistributiveLattice_814
v5
                         = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                             (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                        ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                        (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_1974 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
               (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                  ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                     ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               AgdaAny
v1 AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)))
         (let v4 :: T_IsBooleanAlgebra_1864
v4
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v5 :: T_IsDistributiveLattice_814
v5
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v1)
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
                  ((T_Lattice_1144 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.Lattice.du_'8743''45'idempotent_1708
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                        ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                     AgdaAny
v1)))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₃
d_lem'8323'_1978 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_1978 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8323'_1978 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1978 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8323'_1978 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1978 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_1978 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
            (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3) AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v4 :: t
v4
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3) AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                            AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 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'__250
                     ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3) AgdaAny
v1)
                     ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3) AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     ((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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                           ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                              T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))))
               ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3) AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)))
            (let v4 :: T_IsBooleanAlgebra_1864
v4
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsDistributiveLattice_814
v5
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1))
                     ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                        (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        AgdaAny
v1)))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'zero'691'_1766 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Properties.BooleanAlgebra.XorRing.∧-distribʳ-⊕
d_'8743''45'distrib'691''45''8853'_1980 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'691''45''8853'_1980 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'691''45''8853'_1980 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_1980 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8743''45'distrib'691''45''8853'_1980 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_1980 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_1980 T_BooleanAlgebra_2920
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'43'distr'737''8658'distr'691'_312
      (let v3 :: t
v3
             = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
            ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1) ((T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_1962 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.∧-distrib-⊕
d_'8743''45'distrib'45''8853'_1982 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'distrib'45''8853'_1982 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
d_'8743''45'distrib'45''8853'_1982 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_1982 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8743''45'distrib'45''8853'_1982 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'distrib'45''8853'_1982 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_1982 T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_1962 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_1980 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.lemma₂
d_lemma'8322'_1992 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lemma'8322'_1992 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lemma'8322'_1992 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_1992 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_lemma'8322'_1992 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_1992 :: T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_1992 T_BooleanAlgebra_2920
v0 AgdaAny
v1 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.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v5 :: t
v5
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v4))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v4)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v4)))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v5 :: t
v5
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v4))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v4)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v4)))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v4)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v4)))
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v5))))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v4)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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'__250
               (let v5 :: T_IsBooleanAlgebra_1864
v5
                      = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_814
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_814
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45''8743''45'distrib'691'_868
                     (T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v5))
                     AgdaAny
v3 AgdaAny
v1 AgdaAny
v2))
               ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v4)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v4)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v4)))
               (let v5 :: T_IsBooleanAlgebra_1864
v5
                      = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsDistributiveLattice_814
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_IsDistributiveLattice_814
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45''8743''45'distrib'691'_868
                     (T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v5))
                     AgdaAny
v4 AgdaAny
v1 AgdaAny
v2))))
         ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45''8743''45'distrib'737'_264
            ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3 AgdaAny
v4))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-assoc
d_'8853''45'assoc_2002 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'assoc_2002 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'assoc_2002 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_2002 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_'8853''45'assoc_2002 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_2002 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_2002 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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)
      (T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v6 :: t
v6
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v6 :: t
v6
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v6 :: t
v6
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
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v0) in
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coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
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coe AgdaAny
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v6))))
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v6 :: t
v6
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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coe
                           T_Lattice_1144 -> T_Setoid_44
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MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
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v6))))
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v5)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
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coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
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forall a b. a -> b
coe
                        T_Setoid_44
-> AgdaAny
-> AgdaAny
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-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                        (let v6 :: t
v6
                               = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4) AgdaAny
v5)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v5))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
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v5)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v5)))))
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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v5)
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forall a b. a -> b
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                           (let v6 :: t
v6
                                  = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                      T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                      (T_BooleanAlgebra_2920 -> AgdaAny
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                            AgdaAny -> AgdaAny
forall a b. a -> b
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                              ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                 ((T_DistributiveLattice_1228 -> T_Lattice_1144)
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MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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v5)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                           ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
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v1 AgdaAny
v3 AgdaAny
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forall a b. a -> b
coe
                              T_Setoid_44
-> AgdaAny
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-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                              (let v6 :: t
v6
                                     = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
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                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v4))
                                       AgdaAny
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                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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forall a b. a -> b
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                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
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forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
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                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
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                              ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
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forall a b. a -> b
coe
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                                 (let v6 :: t
v6
                                        = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                            T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                            (T_BooleanAlgebra_2920 -> AgdaAny
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v0) in
                                  AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                       ((T_DistributiveLattice_1228 -> T_Lattice_1144)
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coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v6))))
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v4)))
                                       AgdaAny
v5)
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v4)
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                                ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
                                 ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                                    (let v6 :: t
v6
                                           = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                               T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                               (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                          ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                             (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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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)
                                    (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                                       ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                          ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                                        T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                                        (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                                              AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                                   ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300
                                                      (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 -> 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
forall a b. a -> b
coe
                                       AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'10216'_'10217'__250
                                       ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v4)
                                       ((T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                                AgdaAny
v4)
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                                ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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))
                                       ((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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                                             ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                                                T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                                ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                   T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                                   ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                      T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                                      (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
                                          AgdaAny
v5)))
                                 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    AgdaAny -> AgdaAny -> AgdaAny
v2
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v3
                                             AgdaAny
v4)))
                                    AgdaAny
v5))
                              ((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'__250
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_2014 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                    T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                                    (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                                       ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                          T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                          ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v3 AgdaAny
v4)
                                          AgdaAny
v5)
                                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                             ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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v3 AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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v0
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v0
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forall a b. a -> b
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                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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forall a b. a -> b
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                                             T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
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du_lem'8322'_2018 (T_BooleanAlgebra_2920 -> AgdaAny
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coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
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v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
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                           ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                              T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
                              (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
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-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                    T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                    ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                       T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956
                                       (T_BooleanAlgebra_2920 -> AgdaAny
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                        (let v6 :: T_IsBooleanAlgebra_1864
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                               = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
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                         AgdaAny -> AgdaAny
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                           (let v7 :: T_IsDistributiveLattice_814
v7
                                  = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
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coe
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                                 T_IsLattice_740
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MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
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MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
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                                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                                       T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
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MAlonzo.Code.Algebra.Structures.d_isLattice_824
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v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)))))
            ((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'__250
               ((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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                        T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
                  AgdaAny
v3)
               ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
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-> AgdaAny
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-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v4 AgdaAny
v5)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing._.lem₁
d_lem'8321'_2014 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8321'_2014 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8321'_2014 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_2014 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8321'_2014 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_2014 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8321'_2014 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               AgdaAny
v3))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
            AgdaAny
v3)
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
            AgdaAny
v3)
         ((T_Setoid_44
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 -> T__IsRelatedTo__26
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 -> T__IsRelatedTo__26)
-> AgdaAny
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-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
               AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
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v3)
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
               AgdaAny
v3)
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                  AgdaAny
v3))
            (let v4 :: T_IsDistributiveLattice_814
v4
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
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'_302
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__308
                     (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                  (let v5 :: T_IsBooleanAlgebra_1864
v5
                         = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (let v6 :: T_IsDistributiveLattice_814
v6
                            = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v5) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                           ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v6))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_1864
v4
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_814
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_814
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45''8743''45'distrib'691'_868
               (T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4))
               AgdaAny
v3 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₂′
d_lem'8322''8242'_2016 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322''8242'_2016 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8322''8242'_2016 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ~AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_2016 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6
du_lem'8322''8242'_2016 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_2016 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_2016 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
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v3
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-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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forall a b. a -> b
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v0) in
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forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
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-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
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v3))))
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
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v0))
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
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v3
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
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v0) in
                AgdaAny -> AgdaAny
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coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
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-> AgdaAny -> AgdaAny
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coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
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forall a. a
v3))))
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
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v3
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
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coe
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MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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coe
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MAlonzo.Code.Algebra.Bundles.du_setoid_1218
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-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                  ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
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 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                        ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                           ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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'__250
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_1850 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
                     ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
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forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny
-> AgdaAny
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-> AgdaAny
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-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
               ((T_BooleanAlgebra_2920
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-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_1992 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
               ((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'__250
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
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-> T_IsLattice_740
-> AgdaAny
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forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny
-> AgdaAny
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-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1))
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-> T_IsLattice_740
-> AgdaAny
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-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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coe
                     (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
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                     (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
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-> (AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
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v4)
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)
                     (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               (let v3 :: T_IsDistributiveLattice_814
v3
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
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-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v0 AgdaAny
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         ((AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Function.Base.du__'10216'_'10217'__250
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
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forall a b. a -> b
coe
               T_IsLattice_740
-> AgdaAny
-> AgdaAny
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-> AgdaAny
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-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
               (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                  ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                     T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                     ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                  (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₂
d_lem'8322'_2018 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8322'_2018 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8322'_2018 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_2018 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8322'_2018 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_2018 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322'_2018 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
               AgdaAny
v3))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
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 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
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               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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v1 AgdaAny
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                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
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                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                  AgdaAny
v3))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                     AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                     AgdaAny
v3))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                        AgdaAny
v3)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
            (let v4 :: T_IsBooleanAlgebra_1864
v4
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsDistributiveLattice_814
v5
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'691'_806
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8322''8242'_2016 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_1864
v4
                = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsDistributiveLattice_814
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsDistributiveLattice_814
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_IsDistributiveLattice_814
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45''8743''45'distrib'691'_868
               (T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₃
d_lem'8323'_2020 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8323'_2020 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8323'_2020 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_2020 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8323'_2020 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_2020 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8323'_2020 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v4 :: t
v4
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
               (let v4 :: t
v4
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
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v2) AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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-> AgdaAny -> AgdaAny -> AgdaAny
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coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v1 AgdaAny
v2 AgdaAny
v3)
                  ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
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forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2) AgdaAny
v3)
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     AgdaAny
v1 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45''8743''45'distrib'737'_264
               ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
         (let v4 :: T_IsDistributiveLattice_814
v4
                = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                    ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
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forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
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forall a b. a -> b
coe
               T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
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-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v4))
               (AgdaAny -> AgdaAny
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v1)
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__308
                  (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
               (let v5 :: T_IsDistributiveLattice_814
v5
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₄′
d_lem'8324''8242'_2022 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8324''8242'_2022 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8324''8242'_2022 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 ~AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_2022 T_BooleanAlgebra_2920
v2 AgdaAny
v6 AgdaAny
v7
du_lem'8324''8242'_2022 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_2022 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_2022 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v3 :: t
v3
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            (let v3 :: t
v3
                   = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                       (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                  ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               (let v3 :: t
v3
                      = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                          (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                     ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  (let v3 :: t
v3
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                        (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                  ((T_Setoid_44
 -> AgdaAny
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 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
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-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v3 :: t
v3
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                           ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                        ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                           ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'737'_1754 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                        ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                           (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                              (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8743''45'identity'691'_1750 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
                     ((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'__250
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                           (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                        ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'comm_764
                           (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                              ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                                 T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                 ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1))
                     ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v1))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))
                        (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
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-> 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'_302
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v3)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
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'__308
                           (\ AgdaAny
v3 AgdaAny
v4 -> AgdaAny
v4)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)
                           (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     (let v3 :: T_IsDistributiveLattice_814
v3
                            = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                                ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
                      AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'737'_794
                           ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v3))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8744''45'complement'737'_1738 T_BooleanAlgebra_2920
v0 AgdaAny
v2)))))
               ((T_BooleanAlgebra_2920
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lemma'8322'_1992 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8322'_1850 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
               ((T_IsLattice_740
 -> AgdaAny
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-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'cong_768
                  (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                     ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'172''45'involutive_1822 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₄
d_lem'8324'_2024 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8324'_2024 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8324'_2024 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_2024 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8324'_2024 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_2024 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324'_2024 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
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v4
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-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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coe
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MAlonzo.Code.Algebra.Bundles.du_setoid_1218
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coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
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v4
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-> AgdaAny -> t
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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coe
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MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
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v4
                         = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                             T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                             (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                   AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                        ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
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coe AgdaAny
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v4))))
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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forall a b. a -> b
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v1)
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     (let v4 :: t
v4
                            = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                      AgdaAny -> AgdaAny
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                        ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
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MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
                     (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                        ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                           ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                         T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                         (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                               AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                    T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                                    ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                              AgdaAny
v3)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
                     ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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'__250
                     ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                     ((T_IsLattice_740
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
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 -> AgdaAny
 -> AgdaAny)
-> T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'cong_774
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
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v3)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v3)))
                     ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'assoc_766
                        (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                           ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                              T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                              ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v3)))
               ((T_DistributiveLattice_1228
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_DistributiveLattice_1228
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_'8744''45''8743''45'distrib'737'_264
                  ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v3)))
            (let v4 :: T_IsBooleanAlgebra_1864
v4
                   = T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (let v5 :: T_IsDistributiveLattice_814
v5
                      = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                          (T_IsBooleanAlgebra_1864 -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe T_IsBooleanAlgebra_1864
v4) in
                AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8744''45'cong'737'_802
                     ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v5))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2) AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8324''8242'_2022 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_deMorgan'8321'_1830 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2 AgdaAny
v3)))))
-- Algebra.Properties.BooleanAlgebra.XorRing._.lem₅
d_lem'8325'_2026 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_lem'8325'_2026 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_lem'8325'_2026 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> AgdaAny
v3 ~AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_2026 T_BooleanAlgebra_2920
v2 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_lem'8325'_2026 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_2026 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_lem'8325'_2026 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776''728'_66
         (let v4 :: t
v4
                = (T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                    (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
               ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  AgdaAny
v3)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
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v4
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-> AgdaAny -> t
forall a b. a -> b
coe
                       T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
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coe
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MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
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               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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v1
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((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_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> t
forall a b. a -> b
coe
                                   T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012
                                   (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0) in
                         AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           ((T_Lattice_1144 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_Lattice_1144 -> T_Setoid_44
MAlonzo.Code.Algebra.Bundles.du_setoid_1218
                              ((T_DistributiveLattice_1228 -> T_Lattice_1144)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DistributiveLattice_1228 -> T_Lattice_1144
MAlonzo.Code.Algebra.Bundles.du_lattice_1300 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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v1
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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               ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
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forall a b. a -> b
coe
                  T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
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MAlonzo.Code.Algebra.Structures.d_isLattice_824
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forall a b. a -> b
coe
                        T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                        ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
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                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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v0
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forall a b. a -> b
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
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MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
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                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
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                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
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forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
            (let v4 :: T_IsDistributiveLattice_814
v4
                   = T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> T_IsBooleanAlgebra_1864
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsLattice_740
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsLattice_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.du_'8743''45'cong'691'_798
                  ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824 (T_IsDistributiveLattice_814 -> AgdaAny
forall a b. a -> b
coe T_IsDistributiveLattice_814
v4))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
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-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        AgdaAny
v3))
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        AgdaAny
v3)
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3)))
                  ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
                     (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                        ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                           T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                           ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
                     ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                        ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                           ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                        AgdaAny
v3)))))
         ((T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'assoc_772
            (T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
               ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
                  T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                  ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1)
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
               AgdaAny
v3)
            ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0
                  ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v1) AgdaAny
v2)
               ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v3))))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-isMagma
d_'8853''45'isMagma_2028 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8853''45'isMagma_2028 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_86
d_'8853''45'isMagma_2028 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_86
du_'8853''45'isMagma_2028 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'isMagma_2028 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_'8853''45'isMagma_2028 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_86
du_'8853''45'isMagma_2028 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsEquivalence_26
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_86)
-> AgdaAny -> AgdaAny -> T_IsMagma_86
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.C_IsMagma'46'constructor_553
      ((T_IsLattice_740 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
      ((T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-isSemigroup
d_'8853''45'isSemigroup_2030 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8853''45'isSemigroup_2030 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_194
d_'8853''45'isSemigroup_2030 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_194
du_'8853''45'isSemigroup_2030 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45'isSemigroup_2030 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_'8853''45'isSemigroup_2030 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_194
du_'8853''45'isSemigroup_2030 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsMagma_86
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_194)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_194
forall a b. a -> b
coe
      T_IsMagma_86
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.C_IsSemigroup'46'constructor_4001
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_86)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_86
du_'8853''45'isMagma_2028 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_2002 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-⊥-isMonoid
d_'8853''45''8869''45'isMonoid_2032 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'8853''45''8869''45'isMonoid_2032 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_358
d_'8853''45''8869''45'isMonoid_2032 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2032 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8869''45'isMonoid_2032 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2032 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2032 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358)
-> AgdaAny -> AgdaAny -> T_IsMonoid_358
forall a b. a -> b
coe
      T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_7687
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsSemigroup_194)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_194
du_'8853''45'isSemigroup_2030 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_1952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-⊥-isGroup
d_'8853''45''8869''45'isGroup_2034 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_580
d_'8853''45''8869''45'isGroup_2034 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_580
d_'8853''45''8869''45'isGroup_2034 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_580
du_'8853''45''8869''45'isGroup_2034 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8869''45'isGroup_2034 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_580
du_'8853''45''8869''45'isGroup_2034 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_580
du_'8853''45''8869''45'isGroup_2034 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsMonoid_358
 -> T_Σ_14
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsGroup_580)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsGroup_580
forall a b. a -> b
coe
      T_IsMonoid_358
-> T_Σ_14
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.C_IsGroup'46'constructor_12945
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMonoid_358)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2032 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_1960 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-⊥-isAbelianGroup
d_'8853''45''8869''45'isAbelianGroup_2036 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
d_'8853''45''8869''45'isAbelianGroup_2036 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_662
d_'8853''45''8869''45'isAbelianGroup_2036 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2036 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8869''45'isAbelianGroup_2036 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2036 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2036 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsGroup_580
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAbelianGroup_662)
-> AgdaAny -> AgdaAny -> T_IsAbelianGroup_662
forall a b. a -> b
coe
      T_IsGroup_580
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.C_IsAbelianGroup'46'constructor_17421
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsGroup_580)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_580
du_'8853''45''8869''45'isGroup_2034 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-∧-isRing
d_'8853''45''8743''45'isRing_2038 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_1584
d_'8853''45''8743''45'isRing_2038 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_1584
d_'8853''45''8743''45'isRing_2038 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_1584
du_'8853''45''8743''45'isRing_2038 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8743''45'isRing_2038 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_1584
du_'8853''45''8743''45'isRing_2038 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_1584
du_'8853''45''8743''45'isRing_2038 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsAbelianGroup_662
 -> T_IsMonoid_358 -> T_Σ_14 -> T_Σ_14 -> T_IsRing_1584)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_IsRing_1584
forall a b. a -> b
coe
      T_IsAbelianGroup_662
-> T_IsMonoid_358 -> T_Σ_14 -> T_Σ_14 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.C_IsRing'46'constructor_48413
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsAbelianGroup_662)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2036 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> T_IsMonoid_358) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8743''45''8868''45'isMonoid_1786 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_1982 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_2920 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'zero_1772 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-∧-isCommutativeRing
d_'8853''45''8743''45'isCommutativeRing_2040 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
d_'8853''45''8743''45'isCommutativeRing_2040 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
d_'8853''45''8743''45'isCommutativeRing_2040 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2040 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8743''45'isCommutativeRing_2040 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2040 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2040 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_IsRing_1584
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeRing_1720)
-> AgdaAny -> AgdaAny -> T_IsCommutativeRing_1720
forall a b. a -> b
coe
      T_IsRing_1584
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeRing_1720
MAlonzo.Code.Algebra.Structures.C_IsCommutativeRing'46'constructor_54081
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsRing_1584)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_1584
du_'8853''45''8743''45'isRing_2038 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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_740 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsLattice_740 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'comm_770
         ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
            ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
               ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
-- Algebra.Properties.BooleanAlgebra.XorRing.⊕-∧-commutativeRing
d_'8853''45''8743''45'commutativeRing_2042 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
d_'8853''45''8743''45'commutativeRing_2042 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
d_'8853''45''8743''45'commutativeRing_2042 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2042 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''8743''45'commutativeRing_2042 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2042 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2042 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsCommutativeRing_1720
 -> T_CommutativeRing_2704)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_CommutativeRing_2704
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsCommutativeRing_1720
-> T_CommutativeRing_2704
MAlonzo.Code.Algebra.Bundles.C_CommutativeRing'46'constructor_47013
      AgdaAny -> AgdaAny -> AgdaAny
v1 (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (\ AgdaAny
v3 -> AgdaAny
v3) (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeRing_1720)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2040 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-¬-distribˡ
d_'8853''45''172''45'distrib'737'_2044 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45''172''45'distrib'737'_2044 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45''172''45'distrib'737'_2044 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45''172''45'distrib'737'_2044 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''172''45'distrib'737'_2044 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'737'_2044 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45''172''45'distrib'737'_2044 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.⊕-¬-distribʳ
d_'8853''45''172''45'distrib'691'_2046 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45''172''45'distrib'691'_2046 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45''172''45'distrib'691'_2046 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45''172''45'distrib'691'_2046 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_'8853''45''172''45'distrib'691'_2046 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'691'_2046 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45''172''45'distrib'691'_2046 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_1930 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.isCommutativeRing
d_isCommutativeRing_2048 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
d_isCommutativeRing_2048 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
d_isCommutativeRing_2048 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_isCommutativeRing_2048 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_isCommutativeRing_2048 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
du_isCommutativeRing_2048 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_isCommutativeRing_2048 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeRing_1720)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_1720
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2040 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra.XorRing.commutativeRing
d_commutativeRing_2050 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
d_commutativeRing_2050 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
d_commutativeRing_2050 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_commutativeRing_2050 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4
du_commutativeRing_2050 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
du_commutativeRing_2050 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_commutativeRing_2050 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_CommutativeRing_2704)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_CommutativeRing_2704
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2042 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
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.Properties.BooleanAlgebra._⊕_
d__'8853'__2052 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d__'8853'__2052 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d__'8853'__2052 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2
  = (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
      ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
         ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.commutativeRing
d_commutativeRing_2064 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
d_commutativeRing_2064 :: () -> () -> T_BooleanAlgebra_2920 -> T_CommutativeRing_2704
d_commutativeRing_2064 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_CommutativeRing_2704
du_commutativeRing_2064 T_BooleanAlgebra_2920
v2
du_commutativeRing_2064 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
du_commutativeRing_2064 :: T_BooleanAlgebra_2920 -> T_CommutativeRing_2704
du_commutativeRing_2064 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_CommutativeRing_2704)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_CommutativeRing_2704
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_commutativeRing_2050 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.isCommutativeRing
d_isCommutativeRing_2066 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
d_isCommutativeRing_2066 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsCommutativeRing_1720
d_isCommutativeRing_2066 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_IsCommutativeRing_1720
du_isCommutativeRing_2066 T_BooleanAlgebra_2920
v2
du_isCommutativeRing_2066 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
du_isCommutativeRing_2066 :: T_BooleanAlgebra_2920 -> T_IsCommutativeRing_1720
du_isCommutativeRing_2066 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeRing_1720)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_1720
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_isCommutativeRing_2048 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.¬-distribʳ-⊕
d_'172''45'distrib'691''45''8853'_2068 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'691''45''8853'_2068 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'691''45''8853'_2068 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_2068 T_BooleanAlgebra_2920
v2
du_'172''45'distrib'691''45''8853'_2068 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_2068 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'691''45''8853'_2068 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'691''45''8853'_1930 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.¬-distribˡ-⊕
d_'172''45'distrib'737''45''8853'_2070 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'737''45''8853'_2070 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_'172''45'distrib'737''45''8853'_2070 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_2070 T_BooleanAlgebra_2920
v2
du_'172''45'distrib'737''45''8853'_2070 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_2070 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'172''45'distrib'737''45''8853'_2070 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'172''45'distrib'737''45''8853'_1906 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.∧-distrib-⊕
d_'8743''45'distrib'45''8853'_2072 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8743''45'distrib'45''8853'_2072 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8743''45'distrib'45''8853'_2072 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'distrib'45''8853'_2072 T_BooleanAlgebra_2920
v2
du_'8743''45'distrib'45''8853'_2072 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8743''45'distrib'45''8853'_2072 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8743''45'distrib'45''8853'_2072 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8743''45'distrib'45''8853'_1982 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.∧-distribʳ-⊕
d_'8743''45'distrib'691''45''8853'_2074 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'691''45''8853'_2074 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'691''45''8853'_2074 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_2074 T_BooleanAlgebra_2920
v2
du_'8743''45'distrib'691''45''8853'_2074 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_2074 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'691''45''8853'_2074 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'691''45''8853'_1980 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.∧-distribˡ-⊕
d_'8743''45'distrib'737''45''8853'_2076 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8743''45'distrib'737''45''8853'_2076 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8743''45'distrib'737''45''8853'_2076 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_2076 T_BooleanAlgebra_2920
v2
du_'8743''45'distrib'737''45''8853'_2076 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_2076 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8743''45'distrib'737''45''8853'_2076 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8743''45'distrib'737''45''8853'_1962 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-annihilates-¬
d_'8853''45'annihilates'45''172'_2078 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'annihilates'45''172'_2078 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'annihilates'45''172'_2078 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_2078 T_BooleanAlgebra_2920
v2
du_'8853''45'annihilates'45''172'_2078 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_2078 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'annihilates'45''172'_2078 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'annihilates'45''172'_1940 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-assoc
d_'8853''45'assoc_2080 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'assoc_2080 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'assoc_2080 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_2080 T_BooleanAlgebra_2920
v2
du_'8853''45'assoc_2080 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_2080 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'assoc_2080 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'assoc_2002 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-comm
d_'8853''45'comm_2082 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'comm_2082 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'comm_2082 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_2082 T_BooleanAlgebra_2920
v2
du_'8853''45'comm_2082 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_2082 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'comm_2082 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'comm_1896 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-cong
d_'8853''45'cong_2084 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45'cong_2084 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8853''45'cong_2084 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_2084 T_BooleanAlgebra_2920
v2
du_'8853''45'cong_2084 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45'cong_2084 :: T_BooleanAlgebra_2920
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_2084 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (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_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45'cong_1882 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-identity
d_'8853''45'identity_2086 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'identity_2086 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8853''45'identity_2086 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8853''45'identity_2086 T_BooleanAlgebra_2920
v2
du_'8853''45'identity_2086 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'identity_2086 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8853''45'identity_2086 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'identity_1952 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-identityʳ
d_'8853''45'identity'691'_2088 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8853''45'identity'691'_2088 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8853''45'identity'691'_2088 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'identity'691'_2088 T_BooleanAlgebra_2920
v2
du_'8853''45'identity'691'_2088 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8853''45'identity'691'_2088 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'identity'691'_2088 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'691'_1950 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-identityˡ
d_'8853''45'identity'737'_2090 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8853''45'identity'737'_2090 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8853''45'identity'737'_2090 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'identity'737'_2090 T_BooleanAlgebra_2920
v2
du_'8853''45'identity'737'_2090 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8853''45'identity'737'_2090 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'identity'737'_2090 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'identity'737'_1946 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-inverse
d_'8853''45'inverse_2092 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8853''45'inverse_2092 :: () -> () -> T_BooleanAlgebra_2920 -> T_Σ_14
d_'8853''45'inverse_2092 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_Σ_14
du_'8853''45'inverse_2092 T_BooleanAlgebra_2920
v2
du_'8853''45'inverse_2092 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8853''45'inverse_2092 :: T_BooleanAlgebra_2920 -> T_Σ_14
du_'8853''45'inverse_2092 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
du_'8853''45'inverse_1960 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-inverseʳ
d_'8853''45'inverse'691'_2094 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8853''45'inverse'691'_2094 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8853''45'inverse'691'_2094 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_2094 T_BooleanAlgebra_2920
v2
du_'8853''45'inverse'691'_2094 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_2094 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'691'_2094 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'691'_1958 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-inverseˡ
d_'8853''45'inverse'737'_2096 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
d_'8853''45'inverse'737'_2096 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
d_'8853''45'inverse'737'_2096 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_2096 T_BooleanAlgebra_2920
v2
du_'8853''45'inverse'737'_2096 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_2096 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
du_'8853''45'inverse'737'_2096 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_'8853''45'inverse'737'_1954 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-isMagma
d_'8853''45'isMagma_2098 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8853''45'isMagma_2098 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMagma_86
d_'8853''45'isMagma_2098 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 = T_BooleanAlgebra_2920 -> T_IsMagma_86
du_'8853''45'isMagma_2098 T_BooleanAlgebra_2920
v2
du_'8853''45'isMagma_2098 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_'8853''45'isMagma_2098 :: T_BooleanAlgebra_2920 -> T_IsMagma_86
du_'8853''45'isMagma_2098 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_86)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsMagma_86
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_86
du_'8853''45'isMagma_2028 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-isSemigroup
d_'8853''45'isSemigroup_2100 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8853''45'isSemigroup_2100 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsSemigroup_194
d_'8853''45'isSemigroup_2100 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsSemigroup_194
du_'8853''45'isSemigroup_2100 T_BooleanAlgebra_2920
v2
du_'8853''45'isSemigroup_2100 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_'8853''45'isSemigroup_2100 :: T_BooleanAlgebra_2920 -> T_IsSemigroup_194
du_'8853''45'isSemigroup_2100 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsSemigroup_194)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsSemigroup_194
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_194
du_'8853''45'isSemigroup_2030 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-¬-distribʳ
d_'8853''45''172''45'distrib'691'_2102 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45''172''45'distrib'691'_2102 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45''172''45'distrib'691'_2102 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'691'_2102 T_BooleanAlgebra_2920
v2
du_'8853''45''172''45'distrib'691'_2102 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'691'_2102 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'691'_2102 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45''172''45'distrib'691'_2046 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-¬-distribˡ
d_'8853''45''172''45'distrib'737'_2104 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45''172''45'distrib'737'_2104 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
d_'8853''45''172''45'distrib'737'_2104 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'737'_2104 T_BooleanAlgebra_2920
v2
du_'8853''45''172''45'distrib'737'_2104 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'737'_2104 :: T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8853''45''172''45'distrib'737'_2104 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8853''45''172''45'distrib'737'_2044 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-∧-commutativeRing
d_'8853''45''8743''45'commutativeRing_2106 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
d_'8853''45''8743''45'commutativeRing_2106 :: () -> () -> T_BooleanAlgebra_2920 -> T_CommutativeRing_2704
d_'8853''45''8743''45'commutativeRing_2106 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2106 T_BooleanAlgebra_2920
v2
du_'8853''45''8743''45'commutativeRing_2106 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2106 :: T_BooleanAlgebra_2920 -> T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2106 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_CommutativeRing_2704)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_CommutativeRing_2704
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_CommutativeRing_2704
du_'8853''45''8743''45'commutativeRing_2042 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-∧-isCommutativeRing
d_'8853''45''8743''45'isCommutativeRing_2108 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
d_'8853''45''8743''45'isCommutativeRing_2108 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsCommutativeRing_1720
d_'8853''45''8743''45'isCommutativeRing_2108 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2108 T_BooleanAlgebra_2920
v2
du_'8853''45''8743''45'isCommutativeRing_2108 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2108 :: T_BooleanAlgebra_2920 -> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2108 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeRing_1720)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsCommutativeRing_1720
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeRing_1720
du_'8853''45''8743''45'isCommutativeRing_2040 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-∧-isRing
d_'8853''45''8743''45'isRing_2110 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_1584
d_'8853''45''8743''45'isRing_2110 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsRing_1584
d_'8853''45''8743''45'isRing_2110 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsRing_1584
du_'8853''45''8743''45'isRing_2110 T_BooleanAlgebra_2920
v2
du_'8853''45''8743''45'isRing_2110 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsRing_1584
du_'8853''45''8743''45'isRing_2110 :: T_BooleanAlgebra_2920 -> T_IsRing_1584
du_'8853''45''8743''45'isRing_2110 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsRing_1584)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsRing_1584
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsRing_1584
du_'8853''45''8743''45'isRing_2038 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-⊥-isAbelianGroup
d_'8853''45''8869''45'isAbelianGroup_2112 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
d_'8853''45''8869''45'isAbelianGroup_2112 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsAbelianGroup_662
d_'8853''45''8869''45'isAbelianGroup_2112 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2112 T_BooleanAlgebra_2920
v2
du_'8853''45''8869''45'isAbelianGroup_2112 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2112 :: T_BooleanAlgebra_2920 -> T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2112 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsAbelianGroup_662)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsAbelianGroup_662
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsAbelianGroup_662
du_'8853''45''8869''45'isAbelianGroup_2036 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-⊥-isGroup
d_'8853''45''8869''45'isGroup_2114 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_580
d_'8853''45''8869''45'isGroup_2114 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsGroup_580
d_'8853''45''8869''45'isGroup_2114 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsGroup_580
du_'8853''45''8869''45'isGroup_2114 T_BooleanAlgebra_2920
v2
du_'8853''45''8869''45'isGroup_2114 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsGroup_580
du_'8853''45''8869''45'isGroup_2114 :: T_BooleanAlgebra_2920 -> T_IsGroup_580
du_'8853''45''8869''45'isGroup_2114 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsGroup_580)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsGroup_580
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsGroup_580
du_'8853''45''8869''45'isGroup_2034 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.DefaultXorRing.⊕-⊥-isMonoid
d_'8853''45''8869''45'isMonoid_2116 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'8853''45''8869''45'isMonoid_2116 :: () -> () -> T_BooleanAlgebra_2920 -> T_IsMonoid_358
d_'8853''45''8869''45'isMonoid_2116 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2116 T_BooleanAlgebra_2920
v2
du_'8853''45''8869''45'isMonoid_2116 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2116 :: T_BooleanAlgebra_2920 -> T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2116 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMonoid_358)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsMonoid_358
forall a b. a -> b
coe
      T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMonoid_358
du_'8853''45''8869''45'isMonoid_2032 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v1 AgdaAny
v2 ->
            (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
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_740 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_762
                 ((T_IsDistributiveLattice_814 -> T_IsLattice_740)
-> AgdaAny -> T_IsLattice_740
forall a b. a -> b
coe
                    T_IsDistributiveLattice_814 -> T_IsLattice_740
MAlonzo.Code.Algebra.Structures.d_isLattice_824
                    ((T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_IsBooleanAlgebra_1864 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Structures.d_isDistributiveLattice_1884
                       ((T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)))))
              ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)
                 ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0
                    ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v1 AgdaAny
v2)))))
-- Algebra.Properties.BooleanAlgebra.¬⊥=⊤
d_'172''8869''61''8868'_2118 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
d_'172''8869''61''8868'_2118 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny
d_'172''8869''61''8868'_2118 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny
du_'172''8869''61''8868'_2118 T_BooleanAlgebra_2920
v2
du_'172''8869''61''8868'_2118 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
du_'172''8869''61''8868'_2118 :: T_BooleanAlgebra_2920 -> AgdaAny
du_'172''8869''61''8868'_2118 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
du_'8869''8777''8868'_1818 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
-- Algebra.Properties.BooleanAlgebra.¬⊤=⊥
d_'172''8868''61''8869'_2120 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
d_'172''8868''61''8869'_2120 :: () -> () -> T_BooleanAlgebra_2920 -> AgdaAny
d_'172''8868''61''8869'_2120 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2
  = T_BooleanAlgebra_2920 -> AgdaAny
du_'172''8868''61''8869'_2120 T_BooleanAlgebra_2920
v2
du_'172''8868''61''8869'_2120 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 -> AgdaAny
du_'172''8868''61''8869'_2120 :: T_BooleanAlgebra_2920 -> AgdaAny
du_'172''8868''61''8869'_2120 T_BooleanAlgebra_2920
v0
  = (T_BooleanAlgebra_2920 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny
du_'8868''8777''8869'_1820 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)
-- Algebra.Properties.BooleanAlgebra.replace-equality
d_replace'45'equality_2128 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Function.Equivalence.T_Equivalence_16) ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920
d_replace'45'equality_2128 :: ()
-> ()
-> T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> ())
-> (AgdaAny -> AgdaAny -> T_Equivalence_16)
-> T_BooleanAlgebra_2920
d_replace'45'equality_2128 ~()
v0 ~()
v1 T_BooleanAlgebra_2920
v2 ~AgdaAny -> AgdaAny -> ()
v3 AgdaAny -> AgdaAny -> T_Equivalence_16
v4
  = T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> T_Equivalence_16)
-> T_BooleanAlgebra_2920
du_replace'45'equality_2128 T_BooleanAlgebra_2920
v2 AgdaAny -> AgdaAny -> T_Equivalence_16
v4
du_replace'45'equality_2128 ::
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920 ->
  (AgdaAny ->
   AgdaAny -> MAlonzo.Code.Function.Equivalence.T_Equivalence_16) ->
  MAlonzo.Code.Algebra.Bundles.T_BooleanAlgebra_2920
du_replace'45'equality_2128 :: T_BooleanAlgebra_2920
-> (AgdaAny -> AgdaAny -> T_Equivalence_16)
-> T_BooleanAlgebra_2920
du_replace'45'equality_2128 T_BooleanAlgebra_2920
v0 AgdaAny -> AgdaAny -> T_Equivalence_16
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> T_IsBooleanAlgebra_1864
 -> T_BooleanAlgebra_2920)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_BooleanAlgebra_2920
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_IsBooleanAlgebra_1864
-> T_BooleanAlgebra_2920
MAlonzo.Code.Algebra.Bundles.C_BooleanAlgebra'46'constructor_50705
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
      ((T_IsDistributiveLattice_814
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsBooleanAlgebra_1864)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDistributiveLattice_814
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Structures.C_IsBooleanAlgebra'46'constructor_59337
         ((T_DistributiveLattice_1228 -> T_IsDistributiveLattice_814)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DistributiveLattice_1228 -> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Bundles.d_isDistributiveLattice_1252
            ((T_DistributiveLattice_1228
 -> (AgdaAny -> AgdaAny -> T_Equivalence_16)
 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_DistributiveLattice_1228
-> (AgdaAny -> AgdaAny -> T_Equivalence_16)
-> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Properties.DistributiveLattice.du_replace'45'equality_280
               ((T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_BooleanAlgebra_2920 -> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Bundles.du_distributiveLattice_3012 (T_BooleanAlgebra_2920 -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
               ((AgdaAny -> AgdaAny -> T_Equivalence_16) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Equivalence_16
v1)))
         ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v2 ->
               (T_Π_16 -> AgdaAny -> AgdaAny) -> T_Π_16 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_Π_16 -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Equality.d__'10216''36''10217'__38
                 (T_Equivalence_16 -> T_Π_16
MAlonzo.Code.Function.Equivalence.d_to_34
                    ((AgdaAny -> AgdaAny -> T_Equivalence_16)
-> AgdaAny -> AgdaAny -> T_Equivalence_16
forall a b. a -> b
coe
                       AgdaAny -> AgdaAny -> T_Equivalence_16
v1
                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8744'__2946 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                       (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8868'_2952 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                 ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8744''45'complement'691'_1886
                    (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                    AgdaAny
v2)))
         ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v2 ->
               (T_Π_16 -> AgdaAny -> AgdaAny) -> T_Π_16 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_Π_16 -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Equality.d__'10216''36''10217'__38
                 (T_Equivalence_16 -> T_Π_16
MAlonzo.Code.Function.Equivalence.d_to_34
                    ((AgdaAny -> AgdaAny -> T_Equivalence_16)
-> AgdaAny -> AgdaAny -> T_Equivalence_16
forall a b. a -> b
coe
                       AgdaAny -> AgdaAny -> T_Equivalence_16
v1
                       ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d__'8743'__2948 T_BooleanAlgebra_2920
v0 AgdaAny
v2
                          ((T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny)
-> T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 T_BooleanAlgebra_2920
v0 AgdaAny
v2))
                       (T_BooleanAlgebra_2920 -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'8869'_2954 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))))
                 ((T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8743''45'complement'691'_1888
                    (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                    AgdaAny
v2)))
         ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
               (T_Π_16 -> AgdaAny -> AgdaAny) -> T_Π_16 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_Π_16 -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Equality.d__'10216''36''10217'__38
                 (T_Equivalence_16 -> T_Π_16
MAlonzo.Code.Function.Equivalence.d_to_34
                    ((AgdaAny -> AgdaAny -> T_Equivalence_16)
-> AgdaAny -> AgdaAny -> T_Equivalence_16
forall a b. a -> b
coe
                       AgdaAny -> AgdaAny -> T_Equivalence_16
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__'45''10216'_'8739'_302
                          (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0))
                          (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v5) 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.Function.Base.du_'8739'_'10217''45'__308
                          (\ AgdaAny
v5 AgdaAny
v6 -> AgdaAny
v6)
                          (T_BooleanAlgebra_2920 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Bundles.d_'172'__2950 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v2 AgdaAny
v3)))
                 ((T_IsBooleanAlgebra_1864
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsBooleanAlgebra_1864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                    T_IsBooleanAlgebra_1864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'172''45'cong_1890
                    (T_BooleanAlgebra_2920 -> T_IsBooleanAlgebra_1864
MAlonzo.Code.Algebra.Bundles.d_isBooleanAlgebra_2956 (T_BooleanAlgebra_2920 -> T_BooleanAlgebra_2920
forall a b. a -> b
coe T_BooleanAlgebra_2920
v0)) AgdaAny
v2
                    AgdaAny
v3
                    ((T_Π_16 -> AgdaAny -> AgdaAny) -> T_Π_16 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       T_Π_16 -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Equality.d__'10216''36''10217'__38
                       (T_Equivalence_16 -> T_Π_16
MAlonzo.Code.Function.Equivalence.d_from_36 ((AgdaAny -> AgdaAny -> T_Equivalence_16)
-> AgdaAny -> AgdaAny -> T_Equivalence_16
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Equivalence_16
v1 AgdaAny
v2 AgdaAny
v3))
                       AgdaAny
v4)))))