{-# 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.Construct.NaturalChoice.MinOp 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.Bundles.Raw
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.Base
import qualified MAlonzo.Code.Algebra.Structures
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Function.Base
import qualified MAlonzo.Code.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Base.Double
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Syntax
import qualified MAlonzo.Code.Relation.Binary.Structures

-- Algebra.Construct.NaturalChoice.MinOp._._≈_
d__'8776'__22 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> ()
d__'8776'__22 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> ()
d__'8776'__22 = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._._≲_
d__'8818'__26 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> ()
d__'8818'__26 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> ()
d__'8818'__26 = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Associative
d_Associative_126 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Associative_126 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Associative_126 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Commutative
d_Commutative_130 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Commutative_130 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Commutative_130 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Congruent₁
d_Congruent'8321'_132 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny) -> ()
d_Congruent'8321'_132 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> ()
d_Congruent'8321'_132 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Congruent₂
d_Congruent'8322'_134 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Congruent'8322'_134 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Congruent'8322'_134 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Idempotent
d_Idempotent_140 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Idempotent_140 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Idempotent_140 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Identity
d_Identity_146 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Identity_146 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Identity_146 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.LeftIdentity
d_LeftIdentity_172 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftIdentity_172 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftIdentity_172 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.LeftZero
d_LeftZero_180 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftZero_180 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_LeftZero_180 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.RightIdentity
d_RightIdentity_202 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightIdentity_202 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightIdentity_202 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.RightZero
d_RightZero_210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightZero_210 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_RightZero_210 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Selective
d_Selective_212 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Selective_212 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Selective_212 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.Zero
d_Zero_230 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Zero_230 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
d_Zero_230 = ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> ()
forall a. a
erased
-- Algebra.Construct.NaturalChoice.MinOp._.IsBand
d_IsBand_242 :: p -> p -> p -> p -> p -> p -> ()
d_IsBand_242 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Construct.NaturalChoice.MinOp._.IsCommutativeSemigroup
d_IsCommutativeSemigroup_266 :: p -> p -> p -> p -> p -> p -> ()
d_IsCommutativeSemigroup_266 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Construct.NaturalChoice.MinOp._.IsMagma
d_IsMagma_322 :: p -> p -> p -> p -> p -> p -> ()
d_IsMagma_322 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Construct.NaturalChoice.MinOp._.IsMonoid
d_IsMonoid_334 :: p -> p -> p -> p -> p -> p -> p -> ()
d_IsMonoid_334 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 p
a6 = ()
-- Algebra.Construct.NaturalChoice.MinOp._.IsSelectiveMagma
d_IsSelectiveMagma_374 :: p -> p -> p -> p -> p -> p -> ()
d_IsSelectiveMagma_374 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Construct.NaturalChoice.MinOp._.IsSemigroup
d_IsSemigroup_378 :: p -> p -> p -> p -> p -> p -> ()
d_IsSemigroup_378 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
-- Algebra.Construct.NaturalChoice.MinOp._.IsBand.idem
d_idem_506 ::
  MAlonzo.Code.Algebra.Structures.T_IsBand_526 -> AgdaAny -> AgdaAny
d_idem_506 :: T_IsBand_526 -> AgdaAny -> AgdaAny
d_idem_506 T_IsBand_526
v0
  = (T_IsBand_526 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsBand_526 -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_idem_536 (T_IsBand_526 -> AgdaAny
forall a b. a -> b
coe T_IsBand_526
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsBand.isSemigroup
d_isSemigroup_514 ::
  MAlonzo.Code.Algebra.Structures.T_IsBand_526 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_isSemigroup_514 :: T_IsBand_526 -> T_IsSemigroup_488
d_isSemigroup_514 T_IsBand_526
v0
  = (T_IsBand_526 -> T_IsSemigroup_488) -> AgdaAny -> T_IsSemigroup_488
forall a b. a -> b
coe T_IsBand_526 -> T_IsSemigroup_488
MAlonzo.Code.Algebra.Structures.d_isSemigroup_534 (T_IsBand_526 -> AgdaAny
forall a b. a -> b
coe T_IsBand_526
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsCommutativeSemigroup.comm
d_comm_870 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_comm_870 :: T_IsCommutativeSemigroup_568 -> AgdaAny -> AgdaAny -> AgdaAny
d_comm_870 T_IsCommutativeSemigroup_568
v0
  = (T_IsCommutativeSemigroup_568 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeSemigroup_568 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_comm_578 (T_IsCommutativeSemigroup_568 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeSemigroup_568
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsCommutativeSemigroup.isSemigroup
d_isSemigroup_880 ::
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_isSemigroup_880 :: T_IsCommutativeSemigroup_568 -> T_IsSemigroup_488
d_isSemigroup_880 T_IsCommutativeSemigroup_568
v0
  = (T_IsCommutativeSemigroup_568 -> T_IsSemigroup_488)
-> AgdaAny -> T_IsSemigroup_488
forall a b. a -> b
coe T_IsCommutativeSemigroup_568 -> T_IsSemigroup_488
MAlonzo.Code.Algebra.Structures.d_isSemigroup_576 (T_IsCommutativeSemigroup_568 -> AgdaAny
forall a b. a -> b
coe T_IsCommutativeSemigroup_568
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsMagma.isEquivalence
d_isEquivalence_1674 ::
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1674 :: T_IsMagma_178 -> T_IsEquivalence_28
d_isEquivalence_1674 T_IsMagma_178
v0
  = (T_IsMagma_178 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsMagma_178 -> T_IsEquivalence_28
MAlonzo.Code.Algebra.Structures.d_isEquivalence_186 (T_IsMagma_178 -> AgdaAny
forall a b. a -> b
coe T_IsMagma_178
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsMagma.∙-cong
d_'8729''45'cong_1688 ::
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8729''45'cong_1688 :: T_IsMagma_178
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8729''45'cong_1688 T_IsMagma_178
v0
  = (T_IsMagma_178
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsMagma_178
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Algebra.Structures.d_'8729''45'cong_188 (T_IsMagma_178 -> AgdaAny
forall a b. a -> b
coe T_IsMagma_178
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsMonoid.identity
d_identity_1784 ::
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1784 :: T_IsMonoid_712 -> T_Σ_14
d_identity_1784 T_IsMonoid_712
v0
  = (T_IsMonoid_712 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsMonoid_712 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_724 (T_IsMonoid_712 -> AgdaAny
forall a b. a -> b
coe T_IsMonoid_712
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsMonoid.isSemigroup
d_isSemigroup_1796 ::
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_isSemigroup_1796 :: T_IsMonoid_712 -> T_IsSemigroup_488
d_isSemigroup_1796 T_IsMonoid_712
v0
  = (T_IsMonoid_712 -> T_IsSemigroup_488)
-> AgdaAny -> T_IsSemigroup_488
forall a b. a -> b
coe T_IsMonoid_712 -> T_IsSemigroup_488
MAlonzo.Code.Algebra.Structures.d_isSemigroup_722 (T_IsMonoid_712 -> AgdaAny
forall a b. a -> b
coe T_IsMonoid_712
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsSelectiveMagma.isMagma
d_isMagma_2506 ::
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
d_isMagma_2506 :: T_IsSelectiveMagma_450 -> T_IsMagma_178
d_isMagma_2506 T_IsSelectiveMagma_450
v0
  = (T_IsSelectiveMagma_450 -> T_IsMagma_178)
-> AgdaAny -> T_IsMagma_178
forall a b. a -> b
coe T_IsSelectiveMagma_450 -> T_IsMagma_178
MAlonzo.Code.Algebra.Structures.d_isMagma_458 (T_IsSelectiveMagma_450 -> AgdaAny
forall a b. a -> b
coe T_IsSelectiveMagma_450
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsSelectiveMagma.sel
d_sel_2514 ::
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_sel_2514 :: T_IsSelectiveMagma_450 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_sel_2514 T_IsSelectiveMagma_450
v0
  = (T_IsSelectiveMagma_450 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe T_IsSelectiveMagma_450 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Algebra.Structures.d_sel_460 (T_IsSelectiveMagma_450 -> AgdaAny
forall a b. a -> b
coe T_IsSelectiveMagma_450
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsSemigroup.assoc
d_assoc_2530 ::
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_assoc_2530 :: T_IsSemigroup_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_assoc_2530 T_IsSemigroup_488
v0
  = (T_IsSemigroup_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsSemigroup_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Structures.d_assoc_498 (T_IsSemigroup_488 -> AgdaAny
forall a b. a -> b
coe T_IsSemigroup_488
v0)
-- Algebra.Construct.NaturalChoice.MinOp._.IsSemigroup.isMagma
d_isMagma_2534 ::
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
d_isMagma_2534 :: T_IsSemigroup_488 -> T_IsMagma_178
d_isMagma_2534 T_IsSemigroup_488
v0
  = (T_IsSemigroup_488 -> T_IsMagma_178) -> AgdaAny -> T_IsMagma_178
forall a b. a -> b
coe T_IsSemigroup_488 -> T_IsMagma_178
MAlonzo.Code.Algebra.Structures.d_isMagma_496 (T_IsSemigroup_488 -> AgdaAny
forall a b. a -> b
coe T_IsSemigroup_488
v0)
-- Algebra.Construct.NaturalChoice.MinOp.x⊓y≤x
d_x'8851'y'8804'x_2924 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'x_2924 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'x_2924 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
du_x'8851'y'8804'x_2924 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3
  = let v4 :: AgdaAny
v4
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v2 AgdaAny
v3 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v4 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v5
           -> (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
                (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                AgdaAny
v2
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5)
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v5
           -> (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
                ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v3)
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.x⊓y≤y
d_x'8851'y'8804'y_2950 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8804'y_2950 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8804'y_2950 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_2950 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
du_x'8851'y'8804'y_2950 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_2950 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_2950 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3
  = let v4 :: AgdaAny
v4
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v2 AgdaAny
v3 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v4 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v5
           -> (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
                ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v3)
                   AgdaAny
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5))
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v5
           -> (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
                (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                AgdaAny
v3
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5)
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-comm
d_'8851''45'comm_2972 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'comm_2972 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'comm_2972 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
du_'8851''45'comm_2972 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3
  = let v4 :: AgdaAny
v4
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v2 AgdaAny
v3 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v4 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v5
           -> (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
                (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                   ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                      T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                AgdaAny
v2
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3 AgdaAny
v2)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5)
                ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v2)
                   AgdaAny
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v2 AgdaAny
v5))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v5
           -> (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
                (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                   ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                      T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                AgdaAny
v3
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3 AgdaAny
v2)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5)
                ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v2)
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v2 AgdaAny
v5))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-congˡ
d_'8851''45'cong'737'_2998 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'737'_2998 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'737'_2998 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8851''45'cong'737'_2998 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'737'_2998 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = let v6 :: AgdaAny
v6
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v2 AgdaAny
v3 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v6 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v4)
                (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v3)
                   AgdaAny
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v4)
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      AgdaAny
v2
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v2 AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v2 AgdaAny
v4)
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2 AgdaAny
v4))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v4
                         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                            (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v7))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v3)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v4)
                (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v3)
                   AgdaAny
v3
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v4)
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      AgdaAny
v3 AgdaAny
v4
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v2 AgdaAny
v4)
                      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                         ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                            ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                               T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                         AgdaAny
v4
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2 AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2 AgdaAny
v4)
                         (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                            ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v2 AgdaAny
v4))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                            T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v4
                            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
                               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))))
                      AgdaAny
v5)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v7))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-congʳ
d_'8851''45'cong'691'_3036 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong'691'_3036 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong'691'_3036 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3036 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8851''45'cong'691'_3036 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong'691'_3036 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3036 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
      (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
         T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v3 AgdaAny
v2)
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v4 AgdaAny
v2)
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
         ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
            ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v3 AgdaAny
v2)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v2 AgdaAny
v3)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v4 AgdaAny
v2)
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
            ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2 AgdaAny
v3)
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2 AgdaAny
v4)
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v4 AgdaAny
v2)
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
               ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                  ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                     ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                        (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v2 AgdaAny
v4)
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v4 AgdaAny
v2)
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v4 AgdaAny
v2)
               (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                  ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                     ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                        ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                           (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                  ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                     AgdaAny
v4 AgdaAny
v2))
               ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)))
            ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (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_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-cong
d_'8851''45'cong_3046 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'cong_3046 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'cong_3046 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3046 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_'8851''45'cong_3046 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'cong_3046 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3046 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
      (((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v2)
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v8) 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_'8739'_'10217''45'__298
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v2)
         AgdaAny
v4 AgdaAny
v5)
      (((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__298
         (\ AgdaAny
v8 AgdaAny
v9 -> AgdaAny
v9)
         (\ AgdaAny
v8 ->
            (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
              AgdaAny
v8 AgdaAny
v5)
         AgdaAny
v2 AgdaAny
v3)
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v7))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3036 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v6))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-assoc
d_'8851''45'assoc_3060 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'assoc_3060 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'assoc_3060 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3060 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_'8851''45'assoc_3060 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3060 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3060 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: AgdaAny
v5
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v2 AgdaAny
v3 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v6 :: AgdaAny
v6
             = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
                 (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                    (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                 AgdaAny
v3 AgdaAny
v4 in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v5 of
            MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v7
              -> case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v6 of
                   MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v8
                     -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                          (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                             T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                          ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v2 AgdaAny
v3)
                             AgdaAny
v4)
                          ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                             AgdaAny
v2
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v3 AgdaAny
v4))
                          (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                             ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                                ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
                                AgdaAny
v4)
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v2 AgdaAny
v4)
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v2
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                             (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                                ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                                   ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v4)
                                AgdaAny
v2
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                                (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                                   (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                                      ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                                         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                                   AgdaAny
v2
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v2
                                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                         T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                         T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
                                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                         T_MinOperator_106
v1 AgdaAny
v2
                                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                            T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                         T_MinOperator_106
v1 AgdaAny
v2
                                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                            T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                            T_MinOperator_106
v1 AgdaAny
v2
                                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                               T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4)))
                                      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                            T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4)
                                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                                            T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v8)))
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v7))
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v4
                                   ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
                                      (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                                      AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v7 AgdaAny
v8)))
                             ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3036 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v7)))
                   MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v8
                     -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                          T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                          (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                             T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                          ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v2 AgdaAny
v3)
                             AgdaAny
v4)
                          ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                             T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                             AgdaAny
v2
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v3 AgdaAny
v4))
                          (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                             ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                                ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
                                AgdaAny
v4)
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v2 AgdaAny
v4)
                             ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                                AgdaAny
v2
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                             (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                                ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                                   ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                                (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                                   ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                                      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v4)
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4))
                                (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                                   ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v2
                                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                         T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4)))
                                ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                   T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4)
                                   (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                                      T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4 AgdaAny
v8)))
                             ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                                T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3036 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
                                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
                                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                                   T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v7)))
                   T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
            MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v7
              -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                   (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                      T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v2 AgdaAny
v3)
                      AgdaAny
v4)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4))
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2 AgdaAny
v3)
                         AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v3 AgdaAny
v4)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v2
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v4))
                      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                         ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                            ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                               T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v3 AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v4))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v4))
                         (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                            ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v2
                               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                  T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4)))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                            T_MinOperator_106
v1 AgdaAny
v2
                            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                               AgdaAny
v3 AgdaAny
v4)
                            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
                               (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
                                  T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v4)
                               AgdaAny
v3 AgdaAny
v2
                               ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                               AgdaAny
v7)))
                      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'691'_3036 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            AgdaAny
v2 AgdaAny
v3)
                         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                            T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v7)))
            T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-idem
d_'8851''45'idem_3100 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny
d_'8851''45'idem_3100 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
d_'8851''45'idem_3100 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5
  = T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3100 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5
du_'8851''45'idem_3100 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny
du_'8851''45'idem_3100 :: T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3100 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v2
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-sel
d_'8851''45'sel_3104 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_3104 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_'8851''45'sel_3104 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3104 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6
du_'8851''45'sel_3104 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_'8851''45'sel_3104 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3104 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3
  = ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> T__'8846'__30 -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> T__'8846'__30 -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.du_map_84
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
         T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
         T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3)
      ((T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
         (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
            (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
         AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-identityˡ
d_'8851''45'identity'737'_3112 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_3112 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'737'_3112 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
      T_MinOperator_106
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-identityʳ
d_'8851''45'identity'691'_3118 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_3118 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'identity'691'_3118 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
      T_MinOperator_106
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-identity
d_'8851''45'identity_3124 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'identity_3124 :: T_MinOperator_106 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
d_'8851''45'identity_3124 T_MinOperator_106
v0 AgdaAny
v1 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
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
              T_MinOperator_106
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
              T_MinOperator_106
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-zeroˡ
d_'8851''45'zero'737'_3130 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_3130 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'737'_3130 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
      T_MinOperator_106
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-zeroʳ
d_'8851''45'zero'691'_3136 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_3136 :: T_MinOperator_106
-> AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_'8851''45'zero'691'_3136 T_MinOperator_106
v0 AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
  = (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
      T_MinOperator_106
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-zero
d_'8851''45'zero_3142 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'zero_3142 :: T_MinOperator_106 -> AgdaAny -> (AgdaAny -> AgdaAny) -> T_Σ_14
d_'8851''45'zero_3142 T_MinOperator_106
v0 AgdaAny
v1 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
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
              T_MinOperator_106
v0 AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 ->
            (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
              T_MinOperator_106
v0 AgdaAny
v3 AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v3)))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-isMagma
d_'8851''45'isMagma_3146 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
d_'8851''45'isMagma_3146 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_IsMagma_178
d_'8851''45'isMagma_3146 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3146 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isMagma_3146 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsMagma_178
du_'8851''45'isMagma_3146 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3146 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_IsEquivalence_28
 -> (AgdaAny
     -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsMagma_178)
-> AgdaAny -> AgdaAny -> T_IsMagma_178
forall a b. a -> b
coe
      T_IsEquivalence_28
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsMagma_178
MAlonzo.Code.Algebra.Structures.C_constructor_210
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong_3046 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-isSemigroup
d_'8851''45'isSemigroup_3148 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
d_'8851''45'isSemigroup_3148 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_IsSemigroup_488
d_'8851''45'isSemigroup_3148 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isSemigroup_3148 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_IsMagma_178
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> T_IsSemigroup_488
forall a b. a -> b
coe
      T_IsMagma_178
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> T_IsSemigroup_488
MAlonzo.Code.Algebra.Structures.C_constructor_522
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3146 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3060 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-isBand
d_'8851''45'isBand_3150 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
d_'8851''45'isBand_3150 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_IsBand_526
d_'8851''45'isBand_3150 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
du_'8851''45'isBand_3150 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isBand_3150 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsBand_526
du_'8851''45'isBand_3150 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
du_'8851''45'isBand_3150 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_IsSemigroup_488 -> (AgdaAny -> AgdaAny) -> T_IsBand_526)
-> AgdaAny -> AgdaAny -> T_IsBand_526
forall a b. a -> b
coe
      T_IsSemigroup_488 -> (AgdaAny -> AgdaAny) -> T_IsBand_526
MAlonzo.Code.Algebra.Structures.C_constructor_564
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3100 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-isCommutativeSemigroup
d_'8851''45'isCommutativeSemigroup_3152 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_3152 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_IsCommutativeSemigroup_568
d_'8851''45'isCommutativeSemigroup_3152 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3152 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isCommutativeSemigroup_3152 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3152 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3152 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_IsSemigroup_488
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_568)
-> AgdaAny -> AgdaAny -> T_IsCommutativeSemigroup_568
forall a b. a -> b
coe
      T_IsSemigroup_488
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsCommutativeSemigroup_568
MAlonzo.Code.Algebra.Structures.C_constructor_608
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-isSelectiveMagma
d_'8851''45'isSelectiveMagma_3154 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_3154 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_IsSelectiveMagma_450
d_'8851''45'isSelectiveMagma_3154 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3154 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'isSelectiveMagma_3154 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3154 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3154 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = (T_IsMagma_178
 -> (AgdaAny -> AgdaAny -> T__'8846'__30) -> T_IsSelectiveMagma_450)
-> AgdaAny -> AgdaAny -> T_IsSelectiveMagma_450
forall a b. a -> b
coe
      T_IsMagma_178
-> (AgdaAny -> AgdaAny -> T__'8846'__30) -> T_IsSelectiveMagma_450
MAlonzo.Code.Algebra.Structures.C_constructor_484
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3146 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_'8851''45'sel_3104 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-isMonoid
d_'8851''45'isMonoid_3158 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
d_'8851''45'isMonoid_3158 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
d_'8851''45'isMonoid_3158 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3158 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
du_'8851''45'isMonoid_3158 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Algebra.Structures.T_IsMonoid_712
du_'8851''45'isMonoid_3158 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3158 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny -> AgdaAny
v3
  = (T_IsSemigroup_488 -> T_Σ_14 -> T_IsMonoid_712)
-> AgdaAny -> AgdaAny -> T_IsMonoid_712
forall a b. a -> b
coe
      T_IsSemigroup_488 -> T_Σ_14 -> T_IsMonoid_712
MAlonzo.Code.Algebra.Structures.C_constructor_758
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
         ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 ->
               (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v4 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v4)))
         ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 ->
               (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                 T_MinOperator_106
v1 AgdaAny
v4 AgdaAny
v2 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 AgdaAny
v4))))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-rawMagma
d_'8851''45'rawMagma_3162 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.Raw.T_RawMagma_44
d_'8851''45'rawMagma_3162 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_RawMagma_44
d_'8851''45'rawMagma_3162 ~()
v0 ~()
v1 ~()
v2 ~T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_MinOperator_106 -> T_RawMagma_44
du_'8851''45'rawMagma_3162 T_MinOperator_106
v4
du_'8851''45'rawMagma_3162 ::
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.Raw.T_RawMagma_44
du_'8851''45'rawMagma_3162 :: T_MinOperator_106 -> T_RawMagma_44
du_'8851''45'rawMagma_3162 T_MinOperator_106
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny) -> T_RawMagma_44)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_RawMagma_44
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny) -> T_RawMagma_44
MAlonzo.Code.Algebra.Bundles.Raw.C_constructor_68
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v0))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-magma
d_'8851''45'magma_3164 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
d_'8851''45'magma_3164 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_Magma_74
d_'8851''45'magma_3164 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74
du_'8851''45'magma_3164 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'magma_3164 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Magma_74
du_'8851''45'magma_3164 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_Magma_74
du_'8851''45'magma_3164 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_178 -> T_Magma_74)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_Magma_74
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsMagma_178 -> T_Magma_74
MAlonzo.Code.Algebra.Bundles.C_constructor_124
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsMagma_178
du_'8851''45'isMagma_3146 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-semigroup
d_'8851''45'semigroup_3166 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
d_'8851''45'semigroup_3166 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_Semigroup_558
d_'8851''45'semigroup_3166 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558
du_'8851''45'semigroup_3166 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'semigroup_3166 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Semigroup_558
du_'8851''45'semigroup_3166 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_Semigroup_558
du_'8851''45'semigroup_3166 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsSemigroup_488 -> T_Semigroup_558)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_Semigroup_558
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSemigroup_488 -> T_Semigroup_558
MAlonzo.Code.Algebra.Bundles.C_constructor_614
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSemigroup_488
du_'8851''45'isSemigroup_3148 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-band
d_'8851''45'band_3168 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
d_'8851''45'band_3168 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_Band_620
d_'8851''45'band_3168 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620
du_'8851''45'band_3168 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'band_3168 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_Band_620
du_'8851''45'band_3168 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_Band_620
du_'8851''45'band_3168 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_526 -> T_Band_620)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> T_Band_620
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny) -> T_IsBand_526 -> T_Band_620
MAlonzo.Code.Algebra.Bundles.C_constructor_682
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsBand_526
du_'8851''45'isBand_3150 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-commutativeSemigroup
d_'8851''45'commutativeSemigroup_3170 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_3170 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_CommutativeSemigroup_688
d_'8851''45'commutativeSemigroup_3170 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240
-> T_MinOperator_106 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3170 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'commutativeSemigroup_3170 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3170 :: T_TotalPreorder_240
-> T_MinOperator_106 -> T_CommutativeSemigroup_688
du_'8851''45'commutativeSemigroup_3170 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsCommutativeSemigroup_568 -> T_CommutativeSemigroup_688)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_CommutativeSemigroup_688
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsCommutativeSemigroup_568 -> T_CommutativeSemigroup_688
MAlonzo.Code.Algebra.Bundles.C_constructor_754
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> T_IsCommutativeSemigroup_568)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> T_IsCommutativeSemigroup_568
du_'8851''45'isCommutativeSemigroup_3152 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-selectiveMagma
d_'8851''45'selectiveMagma_3172 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
d_'8851''45'selectiveMagma_3172 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> T_SelectiveMagma_130
d_'8851''45'selectiveMagma_3172 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4
  = T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3172 T_TotalPreorder_240
v3 T_MinOperator_106
v4
du_'8851''45'selectiveMagma_3172 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3172 :: T_TotalPreorder_240 -> T_MinOperator_106 -> T_SelectiveMagma_130
du_'8851''45'selectiveMagma_3172 T_TotalPreorder_240
v0 T_MinOperator_106
v1
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsSelectiveMagma_450 -> T_SelectiveMagma_130)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_SelectiveMagma_130
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsSelectiveMagma_450 -> T_SelectiveMagma_130
MAlonzo.Code.Algebra.Bundles.C_constructor_184
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v1))
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> T_IsSelectiveMagma_450)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> T_IsSelectiveMagma_450
du_'8851''45'isSelectiveMagma_3154 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-monoid
d_'8851''45'monoid_3176 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
d_'8851''45'monoid_3176 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
d_'8851''45'monoid_3176 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_3176 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6
du_'8851''45'monoid_3176 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> MAlonzo.Code.Algebra.Bundles.T_Monoid_914
du_'8851''45'monoid_3176 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_Monoid_914
du_'8851''45'monoid_3176 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny -> AgdaAny
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> T_IsMonoid_712 -> T_Monoid_914)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> T_Monoid_914
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> T_IsMonoid_712 -> T_Monoid_914
MAlonzo.Code.Algebra.Bundles.C_constructor_990
      (T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122
         (T_MinOperator_106 -> T_MinOperator_106
forall a b. a -> b
coe T_MinOperator_106
v1))
      AgdaAny
v2
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> (AgdaAny -> AgdaAny)
 -> T_IsMonoid_712)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> T_IsMonoid_712
du_'8851''45'isMonoid_3158 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3))
-- Algebra.Construct.NaturalChoice.MinOp.x⊓y≈x⇒x≤y
d_x'8851'y'8776'x'8658'x'8804'y_3184 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_3184 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'x'8658'x'8804'y_3184 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3184 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_x'8851'y'8776'x'8658'x'8804'y_3184 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3184 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3184 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = let v5 :: AgdaAny
v5
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v2 AgdaAny
v3 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v5 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v6 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v6
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v6
           -> (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
                (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                AgdaAny
v2 AgdaAny
v3
                ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   AgdaAny
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v3)
                   AgdaAny
v3
                   ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                      (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v2 AgdaAny
v3)
                      AgdaAny
v2 AgdaAny
v4)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                      T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v6))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.x⊓y≈y⇒y≤x
d_x'8851'y'8776'y'8658'y'8804'x_3216 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_3216 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8851'y'8776'y'8658'y'8804'x_3216 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3216 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_x'8851'y'8776'y'8658'y'8804'x_3216 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3216 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'y'8658'y'8804'x_3216 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = (T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8776'x'8658'x'8804'y_3184 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
      ((T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
         (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
            T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v3 AgdaAny
v2)
         (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
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
            ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v3 AgdaAny
v2)
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2 AgdaAny
v3)
            AgdaAny
v3
            (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
               ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                  ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                     ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                        (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v2 AgdaAny
v3)
               AgdaAny
v3 AgdaAny
v3
               (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                  ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                     ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                        ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                           (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                  (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
               AgdaAny
v4)
            ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'comm_2972 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Algebra.Construct.NaturalChoice.MinOp.mono-≤-distrib-⊓
d_mono'45''8804''45'distrib'45''8851'_3230 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_mono'45''8804''45'distrib'45''8851'_3230 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_mono'45''8804''45'distrib'45''8851'_3230 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6
                                           AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
  = T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_3230 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_mono'45''8804''45'distrib'45''8851'_3230 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_3230 :: T_TotalPreorder_240
-> T_MinOperator_106
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_mono'45''8804''45'distrib'45''8851'_3230 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = let v7 :: AgdaAny
v7
          = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
              (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                 (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
              AgdaAny
v5 AgdaAny
v6 in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v7 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v8
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   AgdaAny -> AgdaAny
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v5 AgdaAny
v6))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v2
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v5 AgdaAny
v6))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v8)))
                   ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v5 AgdaAny
v6)
                      AgdaAny
v5
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v5 AgdaAny
v6 AgdaAny
v8)))
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v8
           -> (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
                (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
                   T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
                ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   AgdaAny -> AgdaAny
v2
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v5 AgdaAny
v6))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
                   ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny
v2
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v5 AgdaAny
v6))
                   ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                   (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                      ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                      (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                         ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6))
                      (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                         ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)))
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v5) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v5 AgdaAny
v8)))
                   ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                         AgdaAny
v5 AgdaAny
v6)
                      AgdaAny
v6
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
v1 AgdaAny
v5 AgdaAny
v6 AgdaAny
v8)))
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.x≤y⇒x⊓z≤y
d_x'8804'y'8658'x'8851'z'8804'y_3276 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_3276 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'x'8851'z'8804'y_3276 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3276 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_x'8804'y'8658'x'8851'z'8804'y_3276 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3276 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'x'8851'z'8804'y_3276 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v2 AgdaAny
v4)
      AgdaAny
v2 AgdaAny
v3
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
      AgdaAny
v5
-- Algebra.Construct.NaturalChoice.MinOp.x≤y⇒z⊓x≤y
d_x'8804'y'8658'z'8851'x'8804'y_3288 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_3288 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8658'z'8851'x'8804'y_3288 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3288 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_x'8804'y'8658'z'8851'x'8804'y_3288 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3288 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8658'z'8851'x'8804'y_3288 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v4 AgdaAny
v2)
      AgdaAny
v2 AgdaAny
v3
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_2950 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
      AgdaAny
v5
-- Algebra.Construct.NaturalChoice.MinOp.x≤y⊓z⇒x≤y
d_x'8804'y'8851'z'8658'x'8804'y_3300 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_3300 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'y_3300 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3300 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_x'8804'y'8851'z'8658'x'8804'y_3300 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3300 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'y_3300 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      AgdaAny
v2
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v3 AgdaAny
v4)
      AgdaAny
v3 AgdaAny
v5
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
-- Algebra.Construct.NaturalChoice.MinOp.x≤y⊓z⇒x≤z
d_x'8804'y'8851'z'8658'x'8804'z_3314 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_3314 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_x'8804'y'8851'z'8658'x'8804'z_3314 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3314 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_x'8804'y'8851'z'8658'x'8804'z_3314 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3314 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_x'8804'y'8851'z'8658'x'8804'z_3314 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      AgdaAny
v2
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v3 AgdaAny
v4)
      AgdaAny
v4 AgdaAny
v5
      ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_2950 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-mono-≤
d_'8851''45'mono'45''8804'_3322 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'45''8804'_3322 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'45''8804'_3322 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
                                AgdaAny
v10
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3322 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_'8851''45'mono'45''8804'_3322 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'45''8804'_3322 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3322 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = let v8 :: AgdaAny
v8
          = ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny) -> T__'8846'__30 -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny) -> T__'8846'__30 -> AgdaAny
MAlonzo.Code.Data.Sum.Base.du_'91'_'44'_'93'_52
              ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
                 (\ AgdaAny
v8 ->
                    (AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8804'y'8658'x'8851'y'8776'x_128
                         T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v5 AgdaAny
v8)))
              ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
                 (\ AgdaAny
v8 ->
                    (AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      AgdaAny -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42
                      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d_x'8805'y'8658'x'8851'y'8776'y_134
                         T_MinOperator_106
v1 AgdaAny
v3 AgdaAny
v5 AgdaAny
v8)))
              ((T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
                 (T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                    (T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0))
                 AgdaAny
v3 AgdaAny
v5) in
    AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
v8 of
         MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v9
           -> (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
                ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v4)
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3 AgdaAny
v5)
                ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v5)
                   AgdaAny
v3 AgdaAny
v9)
                ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
                   (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v4)
                   AgdaAny
v2 AgdaAny
v3
                   ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'x_2924 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                   AgdaAny
v6)
         MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v9
           -> (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
                ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                   ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                      (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v2 AgdaAny
v4)
                (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
                ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                   AgdaAny
v3 AgdaAny
v5)
                ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                   (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                      ((T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
                         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v3 AgdaAny
v5)
                   AgdaAny
v5 AgdaAny
v9)
                ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
                   (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
                         T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                         (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
                   ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                      T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                      AgdaAny
v2 AgdaAny
v4)
                   AgdaAny
v4 AgdaAny
v5
                   ((T_TotalPreorder_240
 -> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
du_x'8851'y'8804'y_2950 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                   AgdaAny
v7)
         T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-monoˡ-≤
d_'8851''45'mono'737''45''8804'_3372 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'737''45''8804'_3372 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'737''45''8804'_3372 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_3372 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8851''45'mono'737''45''8804'_3372 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'737''45''8804'_3372 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'737''45''8804'_3372 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3322 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (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
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-monoʳ-≤
d_'8851''45'mono'691''45''8804'_3382 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'mono'691''45''8804'_3382 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'mono'691''45''8804'_3382 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_3382 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
du_'8851''45'mono'691''45''8804'_3382 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'mono'691''45''8804'_3382 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'691''45''8804'_3382 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3322 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
         ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
            ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
               (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5)
-- Algebra.Construct.NaturalChoice.MinOp.⊓-glb
d_'8851''45'glb_3394 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'glb_3394 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'glb_3394 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
  = T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_3394 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_'8851''45'glb_3394 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'glb_3394 :: T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'glb_3394 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
            (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v3 AgdaAny
v4)
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         AgdaAny
v2 AgdaAny
v2)
      (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) ((T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3100 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))
      ((T_TotalPreorder_240
 -> T_MinOperator_106
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'mono'45''8804'_3322 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
         (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v6))
-- Algebra.Construct.NaturalChoice.MinOp.⊓-triangulate
d_'8851''45'triangulate_3408 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8851''45'triangulate_3408 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8851''45'triangulate_3408 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3408 T_TotalPreorder_240
v3 T_MinOperator_106
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_'8851''45'triangulate_3408 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_240 ->
  MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_106 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3408 :: T_TotalPreorder_240
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'triangulate_3408 T_TotalPreorder_240
v0 T_MinOperator_106
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4
  = (T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_SubRelation_60 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_begin__128
      (T_SubRelation_60 -> AgdaAny
forall a b. a -> b
coe
         T_SubRelation_60
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_equalitySubRelation_152)
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v2 AgdaAny
v3)
         AgdaAny
v4)
      ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v2 AgdaAny
v3)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            AgdaAny
v3 AgdaAny
v4))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
         ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
            ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
               ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                  (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
            ((T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2 AgdaAny
v3)
            AgdaAny
v4)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v3 AgdaAny
v3))
            AgdaAny
v4)
         ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2 AgdaAny
v3)
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v3 AgdaAny
v4))
         (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
            ((T_IsPreorder_76
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__62
 -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__62
-> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
               ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                  ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                     (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v2
                  ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                     AgdaAny
v3 AgdaAny
v3))
               AgdaAny
v4)
            ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
               AgdaAny
v2
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10217'_370
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MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                  ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
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coe
                     T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                     ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                        (T_TotalPreorder_240 -> AgdaAny
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coe T_TotalPreorder_240
v0))))
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                        T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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coe
                     T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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v2 AgdaAny
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                  ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
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                     T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du_step'45''8776''45''10216'_372
                  ((T_IsPreorder_76
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MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_'8776''45'go_106
                     ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                        ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                           (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
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-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
                        T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
                        ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                           ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                              (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))))
                  ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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v2
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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v3
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                           T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                        T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                     ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
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                        T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                  ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
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                     T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                     ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
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                        T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                     ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
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coe
                        T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                  (((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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MAlonzo.Code.Relation.Binary.Reasoning.Syntax.du__'8718'_494
                     ((T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsPreorder_76 -> AgdaAny -> T__IsRelatedTo__62
MAlonzo.Code.Relation.Binary.Reasoning.Base.Double.du_stop_116
                        ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
                           ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_TotalPreorder_240 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Bundles.d_isTotalPreorder_262
                              (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))))
                     ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
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                        T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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forall a b. a -> b
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du_'8851''45'assoc_3060 (T_TotalPreorder_240 -> AgdaAny
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v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
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v2) (AgdaAny -> AgdaAny
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-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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du_'8851''45'cong'737'_2998 (T_TotalPreorder_240 -> AgdaAny
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v0) (T_MinOperator_106 -> AgdaAny
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coe T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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v3
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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                  ((T_TotalPreorder_240
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forall a b. a -> b
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-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8851''45'assoc_3060 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)
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v4))))
            ((T_TotalPreorder_240
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forall a b. a -> b
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du_'8851''45'assoc_3060 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
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-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
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v3 AgdaAny
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du_'8851''45'cong'691'_3036 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
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v0) (T_MinOperator_106 -> AgdaAny
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coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
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MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_292
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
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-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_TotalPreorder_240
-> T_MinOperator_106
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_'8851''45'cong'737'_2998 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)
               ((T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_MinOperator_106 -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.d__'8851'__122 T_MinOperator_106
v1
                  AgdaAny
v3 AgdaAny
v3)
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) ((T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_MinOperator_106 -> AgdaAny -> AgdaAny
du_'8851''45'idem_3100 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) (T_MinOperator_106 -> AgdaAny
forall a b. a -> b
coe T_MinOperator_106
v1) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))