{-# 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.Data.Integer.Properties 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.Bool
import qualified MAlonzo.Code.Agda.Builtin.Equality
import qualified MAlonzo.Code.Agda.Builtin.Sigma
import qualified MAlonzo.Code.Agda.Builtin.Unit
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Algebra.Bundles
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.Base
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp
import qualified MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp
import qualified MAlonzo.Code.Algebra.Structures
import qualified MAlonzo.Code.Data.Bool.Properties
import qualified MAlonzo.Code.Data.Empty
import qualified MAlonzo.Code.Data.Integer.Base
import qualified MAlonzo.Code.Data.Nat.Base
import qualified MAlonzo.Code.Data.Nat.Properties
import qualified MAlonzo.Code.Data.Nat.Properties.Core
import qualified MAlonzo.Code.Data.Sign.Base
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.Construct.Converse
import qualified MAlonzo.Code.Relation.Binary.Definitions
import qualified MAlonzo.Code.Relation.Binary.PropositionalEquality.Core
import qualified MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties
import qualified MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple
import qualified MAlonzo.Code.Relation.Binary.Structures
import qualified MAlonzo.Code.Relation.Nullary
import qualified MAlonzo.Code.Relation.Nullary.Decidable.Core
import qualified MAlonzo.Code.Relation.Nullary.Negation.Core
d__DistributesOver__10 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) -> ()
d__DistributesOver__10 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer) -> ()
d__DistributesOver__10 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d__DistributesOver'691'__12 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) -> ()
d__DistributesOver'691'__12 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer) -> ()
d__DistributesOver'691'__12 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d__DistributesOver'737'__14 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) -> ()
d__DistributesOver'737'__14 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer) -> ()
d__DistributesOver'737'__14 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_Associative_26 :: (Integer -> Integer -> Integer) -> ()
d_Associative_26 :: (Integer -> Integer -> Integer) -> ()
d_Associative_26 = (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_Commutative_30 :: (Integer -> Integer -> Integer) -> ()
d_Commutative_30 :: (Integer -> Integer -> Integer) -> ()
d_Commutative_30 = (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_Identity_42 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_Identity_42 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_Identity_42 = Integer -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_Inverse_46 ::
Integer ->
(Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
d_Inverse_46 :: Integer
-> (Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
d_Inverse_46 = Integer
-> (Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_LeftIdentity_56 ::
Integer -> (Integer -> Integer -> Integer) -> ()
d_LeftIdentity_56 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_LeftIdentity_56 = Integer -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_LeftInverse_58 ::
Integer ->
(Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
d_LeftInverse_58 :: Integer
-> (Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
d_LeftInverse_58 = Integer
-> (Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_LeftZero_60 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_LeftZero_60 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_LeftZero_60 = Integer -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_RightIdentity_68 ::
Integer -> (Integer -> Integer -> Integer) -> ()
d_RightIdentity_68 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_RightIdentity_68 = Integer -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_RightInverse_70 ::
Integer ->
(Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
d_RightInverse_70 :: Integer
-> (Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
d_RightInverse_70 = Integer
-> (Integer -> Integer) -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_RightZero_72 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_RightZero_72 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_RightZero_72 = Integer -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_Zero_76 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_Zero_76 :: Integer -> (Integer -> Integer -> Integer) -> ()
d_Zero_76 = Integer -> (Integer -> Integer -> Integer) -> ()
forall a. a
erased
d_IsAbelianGroup_80 :: p -> p -> p -> ()
d_IsAbelianGroup_80 p
a0 p
a1 p
a2 = ()
d_IsBand_82 :: p -> ()
d_IsBand_82 p
a0 = ()
d_IsCancellativeCommutativeSemiring_88 :: p -> p -> p -> p -> ()
d_IsCancellativeCommutativeSemiring_88 p
a0 p
a1 p
a2 p
a3 = ()
d_IsCommutativeMagma_90 :: p -> ()
d_IsCommutativeMagma_90 p
a0 = ()
d_IsCommutativeMonoid_92 :: p -> p -> ()
d_IsCommutativeMonoid_92 p
a0 p
a1 = ()
d_IsCommutativeRing_94 :: p -> p -> p -> p -> p -> ()
d_IsCommutativeRing_94 p
a0 p
a1 p
a2 p
a3 p
a4 = ()
d_IsCommutativeSemigroup_96 :: p -> ()
d_IsCommutativeSemigroup_96 p
a0 = ()
d_IsCommutativeSemiring_98 :: p -> p -> p -> p -> ()
d_IsCommutativeSemiring_98 p
a0 p
a1 p
a2 p
a3 = ()
d_IsCommutativeSemiringWithoutOne_100 :: p -> p -> p -> ()
d_IsCommutativeSemiringWithoutOne_100 p
a0 p
a1 p
a2 = ()
d_IsGroup_104 :: p -> p -> p -> ()
d_IsGroup_104 p
a0 p
a1 p
a2 = ()
d_IsIdempotentCommutativeMonoid_106 :: p -> p -> ()
d_IsIdempotentCommutativeMonoid_106 p
a0 p
a1 = ()
d_IsMagma_110 :: p -> ()
d_IsMagma_110 p
a0 = ()
d_IsMonoid_112 :: p -> p -> ()
d_IsMonoid_112 p
a0 p
a1 = ()
d_IsNearSemiring_114 :: p -> p -> p -> ()
d_IsNearSemiring_114 p
a0 p
a1 p
a2 = ()
d_IsRing_116 :: p -> p -> p -> p -> p -> ()
d_IsRing_116 p
a0 p
a1 p
a2 p
a3 p
a4 = ()
d_IsSelectiveMagma_118 :: p -> ()
d_IsSelectiveMagma_118 p
a0 = ()
d_IsSemigroup_120 :: p -> ()
d_IsSemigroup_120 p
a0 = ()
d_IsSemilattice_122 :: p -> ()
d_IsSemilattice_122 p
a0 = ()
d_IsSemiring_124 :: p -> p -> p -> p -> ()
d_IsSemiring_124 p
a0 p
a1 p
a2 p
a3 = ()
d_IsSemiringWithoutAnnihilatingZero_126 :: p -> p -> p -> p -> ()
d_IsSemiringWithoutAnnihilatingZero_126 p
a0 p
a1 p
a2 p
a3 = ()
d_IsSemiringWithoutOne_128 :: p -> p -> p -> ()
d_IsSemiringWithoutOne_128 p
a0 p
a1 p
a2 = ()
d_assoc_134 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_134 :: T_IsAbelianGroup_662
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_134 = T_IsAbelianGroup_662
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_136 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_136 :: T_IsAbelianGroup_662 -> Integer -> Integer -> T__'8801'__12
d_comm_136 = T_IsAbelianGroup_662 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_identity_138 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_138 :: T_IsAbelianGroup_662 -> T_Σ_14
d_identity_138 T_IsAbelianGroup_662
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0)))
d_inverse_144 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_inverse_144 :: T_IsAbelianGroup_662 -> T_Σ_14
d_inverse_144 T_IsAbelianGroup_662
v0
= (T_IsGroup_580 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsGroup_580 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_inverse_596
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0))
d_isEquivalence_156 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_156 :: T_IsAbelianGroup_662 -> T_IsEquivalence_26
d_isEquivalence_156 T_IsAbelianGroup_662
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0)))))
d_isGroup_158 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Algebra.Structures.T_IsGroup_580
d_isGroup_158 :: T_IsAbelianGroup_662 -> T_IsGroup_580
d_isGroup_158 T_IsAbelianGroup_662
v0
= (T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> T_IsGroup_580
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0)
d_isMagma_160 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_160 :: T_IsAbelianGroup_662 -> T_IsMagma_86
d_isMagma_160 T_IsAbelianGroup_662
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0))))
d_isMonoid_162 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_162 :: T_IsAbelianGroup_662 -> T_IsMonoid_358
d_isMonoid_162 T_IsAbelianGroup_662
v0
= (T_IsGroup_580 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0))
d_isSemigroup_166 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_166 :: T_IsAbelianGroup_662 -> T_IsSemigroup_194
d_isSemigroup_166 T_IsAbelianGroup_662
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674 (T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
v0)))
d_'8315''185''45'cong_182 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8315''185''45'cong_182 :: T_IsAbelianGroup_662
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'8315''185''45'cong_182 = T_IsAbelianGroup_662
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_184 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_184 :: T_IsAbelianGroup_662
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_184 = T_IsAbelianGroup_662
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_192 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_192 :: T_IsBand_230 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_192 = T_IsBand_230 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_idem_194 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_idem_194 :: T_IsBand_230 -> Integer -> T__'8801'__12
d_idem_194 = T_IsBand_230 -> Integer -> T__'8801'__12
forall a. a
erased
d_isEquivalence_196 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_196 :: T_IsBand_230 -> T_IsEquivalence_26
d_isEquivalence_196 T_IsBand_230
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsBand_230 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe T_IsBand_230 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_238 (T_IsBand_230 -> Any
forall a b. a -> b
coe T_IsBand_230
v0)))
d_isMagma_198 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_198 :: T_IsBand_230 -> T_IsMagma_86
d_isMagma_198 T_IsBand_230
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsBand_230 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe T_IsBand_230 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_238 (T_IsBand_230 -> Any
forall a b. a -> b
coe T_IsBand_230
v0))
d_isSemigroup_202 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_202 :: T_IsBand_230 -> T_IsSemigroup_194
d_isSemigroup_202 T_IsBand_230
v0
= (T_IsBand_230 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe T_IsBand_230 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_238 (T_IsBand_230 -> Any
forall a b. a -> b
coe T_IsBand_230
v0)
d_'8729''45'cong_214 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_214 :: T_IsBand_230
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_214 = T_IsBand_230
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_276 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_276 :: T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_276 = T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_278 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_278 :: T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> T__'8801'__12
d_comm_278 = T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_idem_280 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_idem_280 :: T_IsIdempotentCommutativeMonoid_464 -> Integer -> T__'8801'__12
d_idem_280 = T_IsIdempotentCommutativeMonoid_464 -> Integer -> T__'8801'__12
forall a. a
erased
d_identity_282 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_282 :: T_IsIdempotentCommutativeMonoid_464 -> T_Σ_14
d_identity_282 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)))
d_isCommutativeMonoid_290 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_isCommutativeMonoid_290 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
d_isCommutativeMonoid_290 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474 (T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)
d_isEquivalence_294 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_294 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsEquivalence_26
d_isEquivalence_294 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)))))
d_isMagma_296 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_296 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsMagma_86
d_isMagma_296 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0))))
d_isMonoid_298 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_298 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsMonoid_358
d_isMonoid_298 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474 (T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0))
d_isSemigroup_302 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_302 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsSemigroup_194
d_isSemigroup_302 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)))
d_'8729''45'cong_314 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_314 :: T_IsIdempotentCommutativeMonoid_464
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_314 = T_IsIdempotentCommutativeMonoid_464
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_322 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_322 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_322 = T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'cancel'737''45'nonZero_324 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer ->
Integer ->
(MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'cancel'737''45'nonZero_324 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
d_'42''45'cancel'737''45'nonZero_324 = T_IsCancellativeCommutativeSemiring_1462
-> Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_'42''45'comm_326 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'comm_326 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> T__'8801'__12
d_'42''45'comm_326 = T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_328 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_328 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_328 = T_IsCancellativeCommutativeSemiring_1462
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_334 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_334 :: T_IsCancellativeCommutativeSemiring_1462 -> T_Σ_14
d_identity_334 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)))))
d_isMagma_346 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_346 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsMagma_86
d_isMagma_346 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))))
d_'42''45'isMonoid_348 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'isMonoid_348 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsMonoid_358
d_'42''45'isMonoid_348 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))
d_isSemigroup_350 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_350 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsSemigroup_194
d_isSemigroup_350 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)))))
d_assoc_352 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_352 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_352 = T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_354 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_354 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> T__'8801'__12
d_comm_354 = T_IsCancellativeCommutativeSemiring_1462
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_356 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_356 :: T_IsCancellativeCommutativeSemiring_1462
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_356 = T_IsCancellativeCommutativeSemiring_1462
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_362 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_362 :: T_IsCancellativeCommutativeSemiring_1462 -> T_Σ_14
d_identity_362 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))))
d_'43''45'isCommutativeMonoid_370 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_370 :: T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_370 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))
d_isMagma_374 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_374 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsMagma_86
d_isMagma_374 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)))))))
d_isMonoid_376 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_376 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsMonoid_358
d_isMonoid_376 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)))))
d_isSemigroup_378 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_378 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsSemigroup_194
d_isSemigroup_378 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))))
d_distrib_380 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_380 :: T_IsCancellativeCommutativeSemiring_1462 -> T_Σ_14
d_distrib_380 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14)
-> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_1162
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))
d_isCommutativeSemiring_386 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
d_isCommutativeSemiring_386 :: T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
d_isCommutativeSemiring_386 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)
d_isEquivalence_390 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_390 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsEquivalence_26
d_isEquivalence_390 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))))))))
d_isNearSemiring_392 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_392 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsCancellativeCommutativeSemiring_1462
-> T_IsNearSemiring_876
d_isNearSemiring_392 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 ~Integer
v3 T_IsCancellativeCommutativeSemiring_1462
v4 = T_IsCancellativeCommutativeSemiring_1462 -> T_IsNearSemiring_876
du_isNearSemiring_392 T_IsCancellativeCommutativeSemiring_1462
v4
du_isNearSemiring_392 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
du_isNearSemiring_392 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsNearSemiring_876
du_isNearSemiring_392 T_IsCancellativeCommutativeSemiring_1462
v0
= let v1 :: T_IsCommutativeSemiring_1344
v1
= T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462
-> T_IsCancellativeCommutativeSemiring_1462
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0) in
Any -> T_IsNearSemiring_876
forall a b. a -> b
coe
(let v2 :: T_IsSemiring_1238
v2
= T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v1) in
Any -> Any
forall a b. a -> b
coe
((T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v2))))
d_isSemiring_396 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_isSemiring_396 :: T_IsCancellativeCommutativeSemiring_1462 -> T_IsSemiring_1238
d_isSemiring_396 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238)
-> Any -> T_IsSemiring_1238
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0))
d_isSemiringWithoutAnnihilatingZero_398 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142
d_isSemiringWithoutAnnihilatingZero_398 :: T_IsCancellativeCommutativeSemiring_1462
-> T_IsSemiringWithoutAnnihilatingZero_1142
d_isSemiringWithoutAnnihilatingZero_398 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> T_IsSemiringWithoutAnnihilatingZero_1142
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)))
d_isSemiringWithoutOne_400 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_400 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsCancellativeCommutativeSemiring_1462
-> T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_400 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 ~Integer
v3 T_IsCancellativeCommutativeSemiring_1462
v4
= T_IsCancellativeCommutativeSemiring_1462
-> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_400 T_IsCancellativeCommutativeSemiring_1462
v4
du_isSemiringWithoutOne_400 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_400 :: T_IsCancellativeCommutativeSemiring_1462
-> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_400 T_IsCancellativeCommutativeSemiring_1462
v0
= let v1 :: T_IsCommutativeSemiring_1344
v1
= T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462
-> T_IsCancellativeCommutativeSemiring_1462
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0) in
Any -> T_IsSemiringWithoutOne_952
forall a b. a -> b
coe
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v1)))
d_zero_412 ::
MAlonzo.Code.Algebra.Structures.T_IsCancellativeCommutativeSemiring_1462 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_412 :: T_IsCancellativeCommutativeSemiring_1462 -> T_Σ_14
d_zero_412 T_IsCancellativeCommutativeSemiring_1462
v0
= (T_IsSemiring_1238 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_1254
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358
((T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344)
-> Any -> Any
forall a b. a -> b
coe
T_IsCancellativeCommutativeSemiring_1462
-> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.d_isCommutativeSemiring_1476
(T_IsCancellativeCommutativeSemiring_1462 -> Any
forall a b. a -> b
coe T_IsCancellativeCommutativeSemiring_1462
v0)))
d_comm_420 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMagma_122 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_420 :: T_IsCommutativeMagma_122 -> Integer -> Integer -> T__'8801'__12
d_comm_420 = T_IsCommutativeMagma_122 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_isEquivalence_422 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMagma_122 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_422 :: T_IsCommutativeMagma_122 -> T_IsEquivalence_26
d_isEquivalence_422 T_IsCommutativeMagma_122
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsCommutativeMagma_122 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeMagma_122 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_130 (T_IsCommutativeMagma_122 -> Any
forall a b. a -> b
coe T_IsCommutativeMagma_122
v0))
d_isMagma_424 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMagma_122 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_424 :: T_IsCommutativeMagma_122 -> T_IsMagma_86
d_isMagma_424 T_IsCommutativeMagma_122
v0
= (T_IsCommutativeMagma_122 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe T_IsCommutativeMagma_122 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_130 (T_IsCommutativeMagma_122 -> Any
forall a b. a -> b
coe T_IsCommutativeMagma_122
v0)
d_'8729''45'cong_438 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMagma_122 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_438 :: T_IsCommutativeMagma_122
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_438 = T_IsCommutativeMagma_122
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_446 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_446 :: T_IsCommutativeMonoid_406
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_446 = T_IsCommutativeMonoid_406
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_448 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_448 :: T_IsCommutativeMonoid_406 -> Integer -> Integer -> T__'8801'__12
d_comm_448 = T_IsCommutativeMonoid_406 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_identity_450 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_450 :: T_IsCommutativeMonoid_406 -> T_Σ_14
d_identity_450 T_IsCommutativeMonoid_406
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416 (T_IsCommutativeMonoid_406 -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406
v0))
d_isEquivalence_460 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_460 :: T_IsCommutativeMonoid_406 -> T_IsEquivalence_26
d_isEquivalence_460 T_IsCommutativeMonoid_406
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416 (T_IsCommutativeMonoid_406 -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406
v0))))
d_isMagma_462 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_462 :: T_IsCommutativeMonoid_406 -> T_IsMagma_86
d_isMagma_462 T_IsCommutativeMonoid_406
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416 (T_IsCommutativeMonoid_406 -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406
v0)))
d_isMonoid_464 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_464 :: T_IsCommutativeMonoid_406 -> T_IsMonoid_358
d_isMonoid_464 T_IsCommutativeMonoid_406
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416 (T_IsCommutativeMonoid_406 -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406
v0)
d_isSemigroup_468 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_468 :: T_IsCommutativeMonoid_406 -> T_IsSemigroup_194
d_isSemigroup_468 T_IsCommutativeMonoid_406
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416 (T_IsCommutativeMonoid_406 -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406
v0))
d_'8729''45'cong_480 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_480 :: T_IsCommutativeMonoid_406
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_480 = T_IsCommutativeMonoid_406
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_490 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_490 :: T_IsCommutativeRing_1720
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_490 = T_IsCommutativeRing_1720
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'comm_492 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'comm_492 :: T_IsCommutativeRing_1720 -> Integer -> Integer -> T__'8801'__12
d_'42''45'comm_492 = T_IsCommutativeRing_1720 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_494 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_494 :: T_IsCommutativeRing_1720
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_494 = T_IsCommutativeRing_1720
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_500 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_500 :: T_IsCommutativeRing_1720 -> T_Σ_14
d_identity_500 T_IsCommutativeRing_1720
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsRing_1584 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)))
d_isMagma_512 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_512 :: T_IsCommutativeRing_1720 -> T_IsMagma_86
d_isMagma_512 T_IsCommutativeRing_1720
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsRing_1584 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))))
d_'42''45'isMonoid_514 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'isMonoid_514 :: T_IsCommutativeRing_1720 -> T_IsMonoid_358
d_'42''45'isMonoid_514 T_IsCommutativeRing_1720
v0
= (T_IsRing_1584 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))
d_isSemigroup_516 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_516 :: T_IsCommutativeRing_1720 -> T_IsSemigroup_194
d_isSemigroup_516 T_IsCommutativeRing_1720
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsRing_1584 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)))
d_assoc_518 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_518 :: T_IsCommutativeRing_1720
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_518 = T_IsCommutativeRing_1720
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_520 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_520 :: T_IsCommutativeRing_1720 -> Integer -> Integer -> T__'8801'__12
d_comm_520 = T_IsCommutativeRing_1720 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_522 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_522 :: T_IsCommutativeRing_1720
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_522 = T_IsCommutativeRing_1720
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_528 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_528 :: T_IsCommutativeRing_1720 -> T_Σ_14
d_identity_528 T_IsCommutativeRing_1720
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)))))
d_'43''45'isAbelianGroup_534 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_534 :: T_IsCommutativeRing_1720 -> T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_534 T_IsCommutativeRing_1720
v0
= (T_IsRing_1584 -> T_IsAbelianGroup_662)
-> Any -> T_IsAbelianGroup_662
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))
d_isGroup_542 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsGroup_580
d_isGroup_542 :: T_IsCommutativeRing_1720 -> T_IsGroup_580
d_isGroup_542 T_IsCommutativeRing_1720
v0
= (T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> T_IsGroup_580
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)))
d_isMagma_544 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_544 :: T_IsCommutativeRing_1720 -> T_IsMagma_86
d_isMagma_544 T_IsCommutativeRing_1720
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))))))
d_isMonoid_546 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_546 :: T_IsCommutativeRing_1720 -> T_IsMonoid_358
d_isMonoid_546 T_IsCommutativeRing_1720
v0
= (T_IsGroup_580 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))))
d_isSemigroup_548 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_548 :: T_IsCommutativeRing_1720 -> T_IsSemigroup_194
d_isSemigroup_548 T_IsCommutativeRing_1720
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)))))
d_'8315''185''45'cong_550 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8315''185''45'cong_550 :: T_IsCommutativeRing_1720
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'8315''185''45'cong_550 = T_IsCommutativeRing_1720
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_inverse_552 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_inverse_552 :: T_IsCommutativeRing_1720 -> T_Σ_14
d_inverse_552 T_IsCommutativeRing_1720
v0
= (T_IsGroup_580 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsGroup_580 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_inverse_596
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))))
d_distrib_558 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_558 :: T_IsCommutativeRing_1720 -> T_Σ_14
d_distrib_558 T_IsCommutativeRing_1720
v0
= (T_IsRing_1584 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsRing_1584 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_1608
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))
d_isEquivalence_568 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_568 :: T_IsCommutativeRing_1720 -> T_IsEquivalence_26
d_isEquivalence_568 T_IsCommutativeRing_1720
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)))))))
d_isNearSemiring_570 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_570 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeRing_1720
-> T_IsNearSemiring_876
d_isNearSemiring_570 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer -> Integer
v2 ~Integer
v3 ~Integer
v4 T_IsCommutativeRing_1720
v5
= T_IsCommutativeRing_1720 -> T_IsNearSemiring_876
du_isNearSemiring_570 T_IsCommutativeRing_1720
v5
du_isNearSemiring_570 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
du_isNearSemiring_570 :: T_IsCommutativeRing_1720 -> T_IsNearSemiring_876
du_isNearSemiring_570 T_IsCommutativeRing_1720
v0
= let v1 :: T_IsRing_1584
v1
= T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> T_IsCommutativeRing_1720
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0) in
Any -> T_IsNearSemiring_876
forall a b. a -> b
coe
(let v2 :: t
v2
= (T_IsRing_1584 -> T_IsSemiring_1238) -> Any -> t
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.du_isSemiring_1698 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v1) in
Any -> Any
forall a b. a -> b
coe
((T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
(Any -> Any
forall a b. a -> b
coe Any
forall a. a
v2))))
d_isRing_574 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsRing_1584
d_isRing_574 :: T_IsCommutativeRing_1720 -> T_IsRing_1584
d_isRing_574 T_IsCommutativeRing_1720
v0
= (T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> T_IsRing_1584
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0)
d_isSemiring_576 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_isSemiring_576 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeRing_1720
-> T_IsSemiring_1238
d_isSemiring_576 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer -> Integer
v2 ~Integer
v3 ~Integer
v4 T_IsCommutativeRing_1720
v5 = T_IsCommutativeRing_1720 -> T_IsSemiring_1238
du_isSemiring_576 T_IsCommutativeRing_1720
v5
du_isSemiring_576 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
du_isSemiring_576 :: T_IsCommutativeRing_1720 -> T_IsSemiring_1238
du_isSemiring_576 T_IsCommutativeRing_1720
v0
= (T_IsRing_1584 -> T_IsSemiring_1238) -> Any -> T_IsSemiring_1238
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.du_isSemiring_1698
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))
d_isSemiringWithoutOne_580 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_580 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeRing_1720
-> T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_580 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer -> Integer
v2 ~Integer
v3 ~Integer
v4 T_IsCommutativeRing_1720
v5
= T_IsCommutativeRing_1720 -> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_580 T_IsCommutativeRing_1720
v5
du_isSemiringWithoutOne_580 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_580 :: T_IsCommutativeRing_1720 -> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_580 T_IsCommutativeRing_1720
v0
= let v1 :: T_IsRing_1584
v1
= T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> T_IsCommutativeRing_1720
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0) in
Any -> T_IsSemiringWithoutOne_952
forall a b. a -> b
coe
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
((T_IsRing_1584 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsRing_1584 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.du_isSemiring_1698 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v1)))
d_zero_596 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_596 :: T_IsCommutativeRing_1720 -> T_Σ_14
d_zero_596 T_IsCommutativeRing_1720
v0
= (T_IsRing_1584 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsRing_1584 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_1610
((T_IsCommutativeRing_1720 -> T_IsRing_1584) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.d_isRing_1736 (T_IsCommutativeRing_1720 -> Any
forall a b. a -> b
coe T_IsCommutativeRing_1720
v0))
d_assoc_604 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_604 :: T_IsCommutativeSemigroup_270
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_604 = T_IsCommutativeSemigroup_270
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_606 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_606 :: T_IsCommutativeSemigroup_270 -> Integer -> Integer -> T__'8801'__12
d_comm_606 = T_IsCommutativeSemigroup_270 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_isEquivalence_610 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_610 :: T_IsCommutativeSemigroup_270 -> T_IsEquivalence_26
d_isEquivalence_610 T_IsCommutativeSemigroup_270
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_278 (T_IsCommutativeSemigroup_270 -> Any
forall a b. a -> b
coe T_IsCommutativeSemigroup_270
v0)))
d_isMagma_612 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_612 :: T_IsCommutativeSemigroup_270 -> T_IsMagma_86
d_isMagma_612 T_IsCommutativeSemigroup_270
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_278 (T_IsCommutativeSemigroup_270 -> Any
forall a b. a -> b
coe T_IsCommutativeSemigroup_270
v0))
d_isSemigroup_616 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_616 :: T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194
d_isSemigroup_616 T_IsCommutativeSemigroup_270
v0
= (T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194)
-> Any -> T_IsSemigroup_194
forall a b. a -> b
coe T_IsCommutativeSemigroup_270 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_278 (T_IsCommutativeSemigroup_270 -> Any
forall a b. a -> b
coe T_IsCommutativeSemigroup_270
v0)
d_'8729''45'cong_628 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_628 :: T_IsCommutativeSemigroup_270
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_628 = T_IsCommutativeSemigroup_270
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_636 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_636 :: T_IsCommutativeSemiring_1344
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_636 = T_IsCommutativeSemiring_1344
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'comm_638 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'comm_638 :: T_IsCommutativeSemiring_1344 -> Integer -> Integer -> T__'8801'__12
d_'42''45'comm_638 = T_IsCommutativeSemiring_1344 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_640 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_640 :: T_IsCommutativeSemiring_1344
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_640 = T_IsCommutativeSemiring_1344
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_646 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_646 :: T_IsCommutativeSemiring_1344 -> T_Σ_14
d_identity_646 T_IsCommutativeSemiring_1344
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))))
d_isMagma_658 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_658 :: T_IsCommutativeSemiring_1344 -> T_IsMagma_86
d_isMagma_658 T_IsCommutativeSemiring_1344
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))))
d_'42''45'isMonoid_660 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'isMonoid_660 :: T_IsCommutativeSemiring_1344 -> T_IsMonoid_358
d_'42''45'isMonoid_660 T_IsCommutativeSemiring_1344
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))
d_isSemigroup_662 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_662 :: T_IsCommutativeSemiring_1344 -> T_IsSemigroup_194
d_isSemigroup_662 T_IsCommutativeSemiring_1344
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))))
d_assoc_664 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_664 :: T_IsCommutativeSemiring_1344
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_664 = T_IsCommutativeSemiring_1344
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_666 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_666 :: T_IsCommutativeSemiring_1344 -> Integer -> Integer -> T__'8801'__12
d_comm_666 = T_IsCommutativeSemiring_1344 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_668 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_668 :: T_IsCommutativeSemiring_1344
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_668 = T_IsCommutativeSemiring_1344
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_674 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_674 :: T_IsCommutativeSemiring_1344 -> T_Σ_14
d_identity_674 T_IsCommutativeSemiring_1344
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))))
d_'43''45'isCommutativeMonoid_682 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_682 :: T_IsCommutativeSemiring_1344 -> T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_682 T_IsCommutativeSemiring_1344
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))
d_isMagma_686 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_686 :: T_IsCommutativeSemiring_1344 -> T_IsMagma_86
d_isMagma_686 T_IsCommutativeSemiring_1344
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))))))
d_isMonoid_688 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_688 :: T_IsCommutativeSemiring_1344 -> T_IsMonoid_358
d_isMonoid_688 T_IsCommutativeSemiring_1344
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))))
d_isSemigroup_690 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_690 :: T_IsCommutativeSemiring_1344 -> T_IsSemigroup_194
d_isSemigroup_690 T_IsCommutativeSemiring_1344
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))))
d_distrib_692 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_692 :: T_IsCommutativeSemiring_1344 -> T_Σ_14
d_distrib_692 T_IsCommutativeSemiring_1344
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14)
-> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_1162
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))
d_isEquivalence_700 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_700 :: T_IsCommutativeSemiring_1344 -> T_IsEquivalence_26
d_isEquivalence_700 T_IsCommutativeSemiring_1344
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)))))))
d_isNearSemiring_702 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_702 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeSemiring_1344
-> T_IsNearSemiring_876
d_isNearSemiring_702 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 ~Integer
v3 T_IsCommutativeSemiring_1344
v4 = T_IsCommutativeSemiring_1344 -> T_IsNearSemiring_876
du_isNearSemiring_702 T_IsCommutativeSemiring_1344
v4
du_isNearSemiring_702 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
du_isNearSemiring_702 :: T_IsCommutativeSemiring_1344 -> T_IsNearSemiring_876
du_isNearSemiring_702 T_IsCommutativeSemiring_1344
v0
= let v1 :: T_IsSemiring_1238
v1
= T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0) in
Any -> T_IsNearSemiring_876
forall a b. a -> b
coe
((T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v1)))
d_isSemiring_706 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_isSemiring_706 :: T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
d_isSemiring_706 T_IsCommutativeSemiring_1344
v0
= (T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238)
-> Any -> T_IsSemiring_1238
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0)
d_isSemiringWithoutAnnihilatingZero_708 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142
d_isSemiringWithoutAnnihilatingZero_708 :: T_IsCommutativeSemiring_1344
-> T_IsSemiringWithoutAnnihilatingZero_1142
d_isSemiringWithoutAnnihilatingZero_708 T_IsCommutativeSemiring_1344
v0
= (T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> T_IsSemiringWithoutAnnihilatingZero_1142
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))
d_isSemiringWithoutOne_710 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_710 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeSemiring_1344
-> T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_710 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 ~Integer
v3 T_IsCommutativeSemiring_1344
v4
= T_IsCommutativeSemiring_1344 -> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_710 T_IsCommutativeSemiring_1344
v4
du_isSemiringWithoutOne_710 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_710 :: T_IsCommutativeSemiring_1344 -> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_710 T_IsCommutativeSemiring_1344
v0
= (T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952)
-> Any -> T_IsSemiringWithoutOne_952
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))
d_zero_722 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_722 :: T_IsCommutativeSemiring_1344 -> T_Σ_14
d_zero_722 T_IsCommutativeSemiring_1344
v0
= (T_IsSemiring_1238 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_1254
((T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.d_isSemiring_1358 (T_IsCommutativeSemiring_1344 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
v0))
d_assoc_730 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_730 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
d_assoc_730 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_'42''45'comm_732 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'comm_732 :: T_IsCommutativeSemiringWithoutOne_1044
-> Integer -> Integer -> T__'8801'__12
d_'42''45'comm_732 = T_IsCommutativeSemiringWithoutOne_1044
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_734 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_734 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_734 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_isMagma_744 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_744 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> T_IsMagma_86
d_isMagma_744 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsCommutativeSemiringWithoutOne_1044
v3 = T_IsCommutativeSemiringWithoutOne_1044 -> T_IsMagma_86
du_isMagma_744 T_IsCommutativeSemiringWithoutOne_1044
v3
du_isMagma_744 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_isMagma_744 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsMagma_86
du_isMagma_744 T_IsCommutativeSemiringWithoutOne_1044
v0
= let v1 :: T_IsSemiringWithoutOne_952
v1
= T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044
-> T_IsCommutativeSemiringWithoutOne_1044
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0) in
Any -> T_IsMagma_86
forall a b. a -> b
coe
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_'42''45'isSemigroup_970
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v1)))
d_'42''45'isSemigroup_746 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'42''45'isSemigroup_746 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsSemigroup_194
d_'42''45'isSemigroup_746 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194)
-> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_'42''45'isSemigroup_970
((T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0))
d_assoc_748 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_748 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
d_assoc_748 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_comm_750 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_750 :: T_IsCommutativeSemiringWithoutOne_1044
-> Integer -> Integer -> T__'8801'__12
d_comm_750 = T_IsCommutativeSemiringWithoutOne_1044
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_752 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_752 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_752 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_758 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_758 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> T_Σ_14
d_identity_758 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsCommutativeSemiringWithoutOne_1044
v3 = T_IsCommutativeSemiringWithoutOne_1044 -> T_Σ_14
du_identity_758 T_IsCommutativeSemiringWithoutOne_1044
v3
du_identity_758 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_identity_758 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_Σ_14
du_identity_758 T_IsCommutativeSemiringWithoutOne_1044
v0
= let v1 :: T_IsSemiringWithoutOne_952
v1
= T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044
-> T_IsCommutativeSemiringWithoutOne_1044
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0) in
Any -> T_Σ_14
forall a b. a -> b
coe
((T_IsMonoid_358 -> T_Σ_14) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v1))))
d_'43''45'isCommutativeMonoid_766 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_766 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_766 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
((T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0))
d_isMagma_770 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_770 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> T_IsMagma_86
d_isMagma_770 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsCommutativeSemiringWithoutOne_1044
v3 = T_IsCommutativeSemiringWithoutOne_1044 -> T_IsMagma_86
du_isMagma_770 T_IsCommutativeSemiringWithoutOne_1044
v3
du_isMagma_770 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_isMagma_770 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsMagma_86
du_isMagma_770 T_IsCommutativeSemiringWithoutOne_1044
v0
= let v1 :: T_IsSemiringWithoutOne_952
v1
= T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044
-> T_IsCommutativeSemiringWithoutOne_1044
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0) in
Any -> T_IsMagma_86
forall a b. a -> b
coe
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v1)))))
d_isMonoid_772 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_772 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsMonoid_358
d_isMonoid_772 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
((T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0)))
d_isSemigroup_774 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_774 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemigroup_194
d_isSemigroup_774 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsCommutativeSemiringWithoutOne_1044
v3 = T_IsCommutativeSemiringWithoutOne_1044 -> T_IsSemigroup_194
du_isSemigroup_774 T_IsCommutativeSemiringWithoutOne_1044
v3
du_isSemigroup_774 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_isSemigroup_774 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsSemigroup_194
du_isSemigroup_774 T_IsCommutativeSemiringWithoutOne_1044
v0
= let v1 :: T_IsSemiringWithoutOne_952
v1
= T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044
-> T_IsCommutativeSemiringWithoutOne_1044
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0) in
Any -> T_IsSemigroup_194
forall a b. a -> b
coe
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v1))))
d_distrib_776 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_776 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_Σ_14
d_distrib_776 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsSemiringWithoutOne_952 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_972
((T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0))
d_distrib'691'_778 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'691'_778 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
d_distrib'691'_778 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_isEquivalence_780 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_780 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> T_IsEquivalence_26
d_isEquivalence_780 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsCommutativeSemiringWithoutOne_1044
v3 = T_IsCommutativeSemiringWithoutOne_1044 -> T_IsEquivalence_26
du_isEquivalence_780 T_IsCommutativeSemiringWithoutOne_1044
v3
du_isEquivalence_780 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_780 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsEquivalence_26
du_isEquivalence_780 T_IsCommutativeSemiringWithoutOne_1044
v0
= let v1 :: T_IsSemiringWithoutOne_952
v1
= T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044
-> T_IsCommutativeSemiringWithoutOne_1044
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0) in
Any -> T_IsEquivalence_26
forall a b. a -> b
coe
((T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> Any
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v1))))))
d_isNearSemiring_782 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_782 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeSemiringWithoutOne_1044
-> T_IsNearSemiring_876
d_isNearSemiring_782 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsCommutativeSemiringWithoutOne_1044
v3 = T_IsCommutativeSemiringWithoutOne_1044 -> T_IsNearSemiring_876
du_isNearSemiring_782 T_IsCommutativeSemiringWithoutOne_1044
v3
du_isNearSemiring_782 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
du_isNearSemiring_782 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_IsNearSemiring_876
du_isNearSemiring_782 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876)
-> Any -> T_IsNearSemiring_876
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990
((T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0))
d_isSemiringWithoutOne_786 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_786 :: T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_786 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> T_IsSemiringWithoutOne_952
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0)
d_zero_798 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiringWithoutOne_1044 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_798 :: T_IsCommutativeSemiringWithoutOne_1044 -> T_Σ_14
d_zero_798 T_IsCommutativeSemiringWithoutOne_1044
v0
= (T_IsSemiringWithoutOne_952 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_974
((T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952)
-> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeSemiringWithoutOne_1044
-> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutOne_1056
(T_IsCommutativeSemiringWithoutOne_1044 -> Any
forall a b. a -> b
coe T_IsCommutativeSemiringWithoutOne_1044
v0))
d_assoc_854 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_854 :: T_IsGroup_580 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_854 = T_IsGroup_580 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_identity_856 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_856 :: T_IsGroup_580 -> T_Σ_14
d_identity_856 T_IsGroup_580
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594 (T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
v0))
d_inverse_862 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_inverse_862 :: T_IsGroup_580 -> T_Σ_14
d_inverse_862 T_IsGroup_580
v0
= (T_IsGroup_580 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsGroup_580 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_inverse_596 (T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
v0)
d_isEquivalence_868 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_868 :: T_IsGroup_580 -> T_IsEquivalence_26
d_isEquivalence_868 T_IsGroup_580
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594 (T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
v0))))
d_isMagma_870 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_870 :: T_IsGroup_580 -> T_IsMagma_86
d_isMagma_870 T_IsGroup_580
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594 (T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
v0)))
d_isMonoid_872 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_872 :: T_IsGroup_580 -> T_IsMonoid_358
d_isMonoid_872 T_IsGroup_580
v0
= (T_IsGroup_580 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594 (T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
v0)
d_isSemigroup_876 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_876 :: T_IsGroup_580 -> T_IsSemigroup_194
d_isSemigroup_876 T_IsGroup_580
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594 (T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
v0))
d_'8315''185''45'cong_892 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8315''185''45'cong_892 :: T_IsGroup_580
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'8315''185''45'cong_892 = T_IsGroup_580
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_894 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_894 :: T_IsGroup_580
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_894 = T_IsGroup_580
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_902 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_902 :: T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_902 = T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_904 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_904 :: T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> T__'8801'__12
d_comm_904 = T_IsIdempotentCommutativeMonoid_464
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_idem_906 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_idem_906 :: T_IsIdempotentCommutativeMonoid_464 -> Integer -> T__'8801'__12
d_idem_906 = T_IsIdempotentCommutativeMonoid_464 -> Integer -> T__'8801'__12
forall a. a
erased
d_identity_908 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_908 :: T_IsIdempotentCommutativeMonoid_464 -> T_Σ_14
d_identity_908 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)))
d_isCommutativeMonoid_916 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_isCommutativeMonoid_916 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
d_isCommutativeMonoid_916 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474 (T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)
d_isEquivalence_920 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_920 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsEquivalence_26
d_isEquivalence_920 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)))))
d_isMagma_922 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_922 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsMagma_86
d_isMagma_922 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0))))
d_isMonoid_924 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_924 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsMonoid_358
d_isMonoid_924 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474 (T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0))
d_isSemigroup_928 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_928 :: T_IsIdempotentCommutativeMonoid_464 -> T_IsSemigroup_194
d_isSemigroup_928 T_IsIdempotentCommutativeMonoid_464
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsIdempotentCommutativeMonoid_464 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_isCommutativeMonoid_474
(T_IsIdempotentCommutativeMonoid_464 -> Any
forall a b. a -> b
coe T_IsIdempotentCommutativeMonoid_464
v0)))
d_'8729''45'cong_940 ::
MAlonzo.Code.Algebra.Structures.T_IsIdempotentCommutativeMonoid_464 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_940 :: T_IsIdempotentCommutativeMonoid_464
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_940 = T_IsIdempotentCommutativeMonoid_464
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_isEquivalence_988 ::
MAlonzo.Code.Algebra.Structures.T_IsMagma_86 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_988 :: T_IsMagma_86 -> T_IsEquivalence_26
d_isEquivalence_988 T_IsMagma_86
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94 (T_IsMagma_86 -> Any
forall a b. a -> b
coe T_IsMagma_86
v0)
d_'8729''45'cong_1002 ::
MAlonzo.Code.Algebra.Structures.T_IsMagma_86 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1002 :: T_IsMagma_86
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1002 = T_IsMagma_86
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_1010 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1010 :: T_IsMonoid_358 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1010 = T_IsMonoid_358 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_identity_1012 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1012 :: T_IsMonoid_358 -> T_Σ_14
d_identity_1012 T_IsMonoid_358
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370 (T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
v0)
d_isEquivalence_1018 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1018 :: T_IsMonoid_358 -> T_IsEquivalence_26
d_isEquivalence_1018 T_IsMonoid_358
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368 (T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
v0)))
d_isMagma_1020 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1020 :: T_IsMonoid_358 -> T_IsMagma_86
d_isMagma_1020 T_IsMonoid_358
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368 (T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
v0))
d_isSemigroup_1024 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1024 :: T_IsMonoid_358 -> T_IsSemigroup_194
d_isSemigroup_1024 T_IsMonoid_358
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368 (T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
v0)
d_'8729''45'cong_1036 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1036 :: T_IsMonoid_358
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1036 = T_IsMonoid_358
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_1044 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1044 :: T_IsNearSemiring_876
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1044 = T_IsNearSemiring_876
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1046 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1046 :: T_IsNearSemiring_876
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1046 = T_IsNearSemiring_876
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_isMagma_1052 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1052 :: T_IsNearSemiring_876 -> T_IsMagma_86
d_isMagma_1052 T_IsNearSemiring_876
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsNearSemiring_876 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_'42''45'isSemigroup_894 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0))
d_'42''45'isSemigroup_1054 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'42''45'isSemigroup_1054 :: T_IsNearSemiring_876 -> T_IsSemigroup_194
d_'42''45'isSemigroup_1054 T_IsNearSemiring_876
v0
= (T_IsNearSemiring_876 -> T_IsSemigroup_194)
-> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_'42''45'isSemigroup_894 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0)
d_assoc_1056 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1056 :: T_IsNearSemiring_876
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1056 = T_IsNearSemiring_876
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1058 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1058 :: T_IsNearSemiring_876
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1058 = T_IsNearSemiring_876
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1064 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1064 :: T_IsNearSemiring_876 -> T_Σ_14
d_identity_1064 T_IsNearSemiring_876
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsNearSemiring_876 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'43''45'isMonoid_892 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0))
d_isMagma_1070 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1070 :: T_IsNearSemiring_876 -> T_IsMagma_86
d_isMagma_1070 T_IsNearSemiring_876
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsNearSemiring_876 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'43''45'isMonoid_892 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0)))
d_'43''45'isMonoid_1072 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'43''45'isMonoid_1072 :: T_IsNearSemiring_876 -> T_IsMonoid_358
d_'43''45'isMonoid_1072 T_IsNearSemiring_876
v0
= (T_IsNearSemiring_876 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'43''45'isMonoid_892 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0)
d_isSemigroup_1074 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1074 :: T_IsNearSemiring_876 -> T_IsSemigroup_194
d_isSemigroup_1074 T_IsNearSemiring_876
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsNearSemiring_876 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'43''45'isMonoid_892 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0))
d_distrib'691'_1076 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'691'_1076 :: T_IsNearSemiring_876
-> Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'691'_1076 = T_IsNearSemiring_876
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_isEquivalence_1078 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1078 :: T_IsNearSemiring_876 -> T_IsEquivalence_26
d_isEquivalence_1078 T_IsNearSemiring_876
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsNearSemiring_876 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsNearSemiring_876 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'43''45'isMonoid_892 (T_IsNearSemiring_876 -> Any
forall a b. a -> b
coe T_IsNearSemiring_876
v0))))
d_zero'737'_1092 ::
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_zero'737'_1092 :: T_IsNearSemiring_876 -> Integer -> T__'8801'__12
d_zero'737'_1092 = T_IsNearSemiring_876 -> Integer -> T__'8801'__12
forall a. a
erased
d_assoc_1098 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1098 :: T_IsRing_1584 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1098 = T_IsRing_1584 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1100 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1100 :: T_IsRing_1584
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1100 = T_IsRing_1584
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1106 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1106 :: T_IsRing_1584 -> T_Σ_14
d_identity_1106 T_IsRing_1584
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsRing_1584 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))
d_isMagma_1112 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1112 :: T_IsRing_1584 -> T_IsMagma_86
d_isMagma_1112 T_IsRing_1584
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsRing_1584 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)))
d_'42''45'isMonoid_1114 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'isMonoid_1114 :: T_IsRing_1584 -> T_IsMonoid_358
d_'42''45'isMonoid_1114 T_IsRing_1584
v0
= (T_IsRing_1584 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)
d_isSemigroup_1116 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1116 :: T_IsRing_1584 -> T_IsSemigroup_194
d_isSemigroup_1116 T_IsRing_1584
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsRing_1584 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1606 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))
d_assoc_1118 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1118 :: T_IsRing_1584 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1118 = T_IsRing_1584 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_1120 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_1120 :: T_IsRing_1584 -> Integer -> Integer -> T__'8801'__12
d_comm_1120 = T_IsRing_1584 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1122 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1122 :: T_IsRing_1584
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1122 = T_IsRing_1584
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1128 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1128 :: T_IsRing_1584 -> T_Σ_14
d_identity_1128 T_IsRing_1584
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))))
d_'43''45'isAbelianGroup_1134 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_1134 :: T_IsRing_1584 -> T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_1134 T_IsRing_1584
v0
= (T_IsRing_1584 -> T_IsAbelianGroup_662)
-> Any -> T_IsAbelianGroup_662
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)
d_isGroup_1142 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsGroup_580
d_isGroup_1142 :: T_IsRing_1584 -> T_IsGroup_580
d_isGroup_1142 T_IsRing_1584
v0
= (T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> T_IsGroup_580
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))
d_isMagma_1144 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1144 :: T_IsRing_1584 -> T_IsMagma_86
d_isMagma_1144 T_IsRing_1584
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)))))
d_isMonoid_1146 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_1146 :: T_IsRing_1584 -> T_IsMonoid_358
d_isMonoid_1146 T_IsRing_1584
v0
= (T_IsGroup_580 -> T_IsMonoid_358) -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)))
d_isSemigroup_1148 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1148 :: T_IsRing_1584 -> T_IsSemigroup_194
d_isSemigroup_1148 T_IsRing_1584
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))))
d_'8315''185''45'cong_1150 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8315''185''45'cong_1150 :: T_IsRing_1584
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'8315''185''45'cong_1150 = T_IsRing_1584
-> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_inverse_1152 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_inverse_1152 :: T_IsRing_1584 -> T_Σ_14
d_inverse_1152 T_IsRing_1584
v0
= (T_IsGroup_580 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsGroup_580 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_inverse_596
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)))
d_distrib_1158 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_1158 :: T_IsRing_1584 -> T_Σ_14
d_distrib_1158 T_IsRing_1584
v0
= (T_IsRing_1584 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsRing_1584 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_1608 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)
d_isEquivalence_1164 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1164 :: T_IsRing_1584 -> T_IsEquivalence_26
d_isEquivalence_1164 T_IsRing_1584
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsGroup_580 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsGroup_580 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_594
((T_IsAbelianGroup_662 -> T_IsGroup_580) -> Any -> Any
forall a b. a -> b
coe
T_IsAbelianGroup_662 -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.d_isGroup_674
((T_IsRing_1584 -> T_IsAbelianGroup_662) -> Any -> Any
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.d_'43''45'isAbelianGroup_1604
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))))))
d_isNearSemiring_1166 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_1166 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsRing_1584
-> T_IsNearSemiring_876
d_isNearSemiring_1166 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer -> Integer
v2 ~Integer
v3 ~Integer
v4 T_IsRing_1584
v5
= T_IsRing_1584 -> T_IsNearSemiring_876
du_isNearSemiring_1166 T_IsRing_1584
v5
du_isNearSemiring_1166 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
du_isNearSemiring_1166 :: T_IsRing_1584 -> T_IsNearSemiring_876
du_isNearSemiring_1166 T_IsRing_1584
v0
= let v1 :: t
v1
= (T_IsRing_1584 -> T_IsSemiring_1238) -> Any -> t
forall a b. a -> b
coe
T_IsRing_1584 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.du_isSemiring_1698 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0) in
Any -> T_IsNearSemiring_876
forall a b. a -> b
coe
((T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
(Any -> Any
forall a b. a -> b
coe Any
forall a. a
v1)))
d_isSemiring_1170 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_isSemiring_1170 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsRing_1584
-> T_IsSemiring_1238
d_isSemiring_1170 Integer -> Integer -> Integer
v0 Integer -> Integer -> Integer
v1 Integer -> Integer
v2 Integer
v3 Integer
v4 T_IsRing_1584
v5
= (T_IsRing_1584 -> T_IsSemiring_1238)
-> T_IsRing_1584 -> T_IsSemiring_1238
forall a b. a -> b
coe T_IsRing_1584 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.du_isSemiring_1698 T_IsRing_1584
v5
d_isSemiringWithoutOne_1174 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_1174 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsRing_1584
-> T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_1174 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer -> Integer
v2 ~Integer
v3 ~Integer
v4 T_IsRing_1584
v5
= T_IsRing_1584 -> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_1174 T_IsRing_1584
v5
du_isSemiringWithoutOne_1174 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_1174 :: T_IsRing_1584 -> T_IsSemiringWithoutOne_952
du_isSemiringWithoutOne_1174 T_IsRing_1584
v0
= (T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952)
-> Any -> T_IsSemiringWithoutOne_952
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
((T_IsRing_1584 -> T_IsSemiring_1238) -> Any -> Any
forall a b. a -> b
coe T_IsRing_1584 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.du_isSemiring_1698 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0))
d_zero_1190 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_1190 :: T_IsRing_1584 -> T_Σ_14
d_zero_1190 T_IsRing_1584
v0
= (T_IsRing_1584 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsRing_1584 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_1610 (T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
v0)
d_isEquivalence_1198 ::
MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1198 :: T_IsSelectiveMagma_158 -> T_IsEquivalence_26
d_isEquivalence_1198 T_IsSelectiveMagma_158
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSelectiveMagma_158 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe T_IsSelectiveMagma_158 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_166 (T_IsSelectiveMagma_158 -> Any
forall a b. a -> b
coe T_IsSelectiveMagma_158
v0))
d_isMagma_1200 ::
MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1200 :: T_IsSelectiveMagma_158 -> T_IsMagma_86
d_isMagma_1200 T_IsSelectiveMagma_158
v0
= (T_IsSelectiveMagma_158 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe T_IsSelectiveMagma_158 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_166 (T_IsSelectiveMagma_158 -> Any
forall a b. a -> b
coe T_IsSelectiveMagma_158
v0)
d_sel_1208 ::
MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158 ->
Integer -> Integer -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_sel_1208 :: T_IsSelectiveMagma_158 -> Integer -> Integer -> T__'8846'__30
d_sel_1208 T_IsSelectiveMagma_158
v0
= (T_IsSelectiveMagma_158 -> Any -> Any -> T__'8846'__30)
-> Any -> Integer -> Integer -> T__'8846'__30
forall a b. a -> b
coe T_IsSelectiveMagma_158 -> Any -> Any -> T__'8846'__30
MAlonzo.Code.Algebra.Structures.d_sel_168 (T_IsSelectiveMagma_158 -> Any
forall a b. a -> b
coe T_IsSelectiveMagma_158
v0)
d_'8729''45'cong_1216 ::
MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1216 :: T_IsSelectiveMagma_158
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1216 = T_IsSelectiveMagma_158
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_1224 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1224 :: T_IsSemigroup_194 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1224 = T_IsSemigroup_194 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_isEquivalence_1226 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1226 :: T_IsSemigroup_194 -> T_IsEquivalence_26
d_isEquivalence_1226 T_IsSemigroup_194
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202 (T_IsSemigroup_194 -> Any
forall a b. a -> b
coe T_IsSemigroup_194
v0))
d_isMagma_1228 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1228 :: T_IsSemigroup_194 -> T_IsMagma_86
d_isMagma_1228 T_IsSemigroup_194
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202 (T_IsSemigroup_194 -> Any
forall a b. a -> b
coe T_IsSemigroup_194
v0)
d_'8729''45'cong_1242 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1242 :: T_IsSemigroup_194
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1242 = T_IsSemigroup_194
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_1250 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1250 :: T_IsSemilattice_312
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1250 = T_IsSemilattice_312
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_1252 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_1252 :: T_IsSemilattice_312 -> Integer -> Integer -> T__'8801'__12
d_comm_1252 = T_IsSemilattice_312 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_idem_1254 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_idem_1254 :: T_IsSemilattice_312 -> Integer -> T__'8801'__12
d_idem_1254 = T_IsSemilattice_312 -> Integer -> T__'8801'__12
forall a. a
erased
d_isBand_1256 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_isBand_1256 :: T_IsSemilattice_312 -> T_IsBand_230
d_isBand_1256 T_IsSemilattice_312
v0
= (T_IsSemilattice_312 -> T_IsBand_230) -> Any -> T_IsBand_230
forall a b. a -> b
coe T_IsSemilattice_312 -> T_IsBand_230
MAlonzo.Code.Algebra.Structures.d_isBand_320 (T_IsSemilattice_312 -> Any
forall a b. a -> b
coe T_IsSemilattice_312
v0)
d_isEquivalence_1258 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1258 :: T_IsSemilattice_312 -> T_IsEquivalence_26
d_isEquivalence_1258 T_IsSemilattice_312
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsBand_230 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsBand_230 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_238
((T_IsSemilattice_312 -> T_IsBand_230) -> Any -> Any
forall a b. a -> b
coe T_IsSemilattice_312 -> T_IsBand_230
MAlonzo.Code.Algebra.Structures.d_isBand_320 (T_IsSemilattice_312 -> Any
forall a b. a -> b
coe T_IsSemilattice_312
v0))))
d_isMagma_1260 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1260 :: T_IsSemilattice_312 -> T_IsMagma_86
d_isMagma_1260 T_IsSemilattice_312
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsBand_230 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsBand_230 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_238
((T_IsSemilattice_312 -> T_IsBand_230) -> Any -> Any
forall a b. a -> b
coe T_IsSemilattice_312 -> T_IsBand_230
MAlonzo.Code.Algebra.Structures.d_isBand_320 (T_IsSemilattice_312 -> Any
forall a b. a -> b
coe T_IsSemilattice_312
v0)))
d_isSemigroup_1264 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1264 :: T_IsSemilattice_312 -> T_IsSemigroup_194
d_isSemigroup_1264 T_IsSemilattice_312
v0
= (T_IsBand_230 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsBand_230 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_238
((T_IsSemilattice_312 -> T_IsBand_230) -> Any -> Any
forall a b. a -> b
coe T_IsSemilattice_312 -> T_IsBand_230
MAlonzo.Code.Algebra.Structures.d_isBand_320 (T_IsSemilattice_312 -> Any
forall a b. a -> b
coe T_IsSemilattice_312
v0))
d_'8729''45'cong_1276 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1276 :: T_IsSemilattice_312
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1276 = T_IsSemilattice_312
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_assoc_1284 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1284 :: T_IsSemiring_1238 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1284 = T_IsSemiring_1238 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1286 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1286 :: T_IsSemiring_1238
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1286 = T_IsSemiring_1238
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1292 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1292 :: T_IsSemiring_1238 -> T_Σ_14
d_identity_1292 T_IsSemiring_1238
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0)))
d_isMagma_1298 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1298 :: T_IsSemiring_1238 -> T_IsMagma_86
d_isMagma_1298 T_IsSemiring_1238
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))))
d_'42''45'isMonoid_1300 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'isMonoid_1300 :: T_IsSemiring_1238 -> T_IsMonoid_358
d_'42''45'isMonoid_1300 T_IsSemiring_1238
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))
d_isSemigroup_1302 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1302 :: T_IsSemiring_1238 -> T_IsSemigroup_194
d_isSemigroup_1302 T_IsSemiring_1238
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0)))
d_assoc_1304 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1304 :: T_IsSemiring_1238 -> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1304 = T_IsSemiring_1238 -> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_1306 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_1306 :: T_IsSemiring_1238 -> Integer -> Integer -> T__'8801'__12
d_comm_1306 = T_IsSemiring_1238 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1308 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1308 :: T_IsSemiring_1238
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1308 = T_IsSemiring_1238
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1314 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1314 :: T_IsSemiring_1238 -> T_Σ_14
d_identity_1314 T_IsSemiring_1238
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))))
d_'43''45'isCommutativeMonoid_1322 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_1322 :: T_IsSemiring_1238 -> T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_1322 T_IsSemiring_1238
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))
d_isMagma_1326 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1326 :: T_IsSemiring_1238 -> T_IsMagma_86
d_isMagma_1326 T_IsSemiring_1238
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0)))))
d_isMonoid_1328 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_1328 :: T_IsSemiring_1238 -> T_IsMonoid_358
d_isMonoid_1328 T_IsSemiring_1238
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0)))
d_isSemigroup_1330 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1330 :: T_IsSemiring_1238 -> T_IsSemigroup_194
d_isSemigroup_1330 T_IsSemiring_1238
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))))
d_distrib_1332 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_1332 :: T_IsSemiring_1238 -> T_Σ_14
d_distrib_1332 T_IsSemiring_1238
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14)
-> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_1162
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))
d_isEquivalence_1338 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1338 :: T_IsSemiring_1238 -> T_IsEquivalence_26
d_isEquivalence_1338 T_IsSemiring_1238
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
((T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))))))
d_isNearSemiring_1340 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_1340 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsSemiring_1238
-> T_IsNearSemiring_876
d_isNearSemiring_1340 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 ~Integer
v3 T_IsSemiring_1238
v4
= T_IsSemiring_1238 -> T_IsNearSemiring_876
du_isNearSemiring_1340 T_IsSemiring_1238
v4
du_isNearSemiring_1340 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
du_isNearSemiring_1340 :: T_IsSemiring_1238 -> T_IsNearSemiring_876
du_isNearSemiring_1340 T_IsSemiring_1238
v0
= (T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876)
-> Any -> T_IsNearSemiring_876
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990
((T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0))
d_isSemiringWithoutAnnihilatingZero_1344 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142
d_isSemiringWithoutAnnihilatingZero_1344 :: T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
d_isSemiringWithoutAnnihilatingZero_1344 T_IsSemiring_1238
v0
= (T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> T_IsSemiringWithoutAnnihilatingZero_1142
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.d_isSemiringWithoutAnnihilatingZero_1252
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0)
d_isSemiringWithoutOne_1346 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_1346 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsSemiring_1238
-> T_IsSemiringWithoutOne_952
d_isSemiringWithoutOne_1346 Integer -> Integer -> Integer
v0 Integer -> Integer -> Integer
v1 Integer
v2 Integer
v3 T_IsSemiring_1238
v4
= (T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952)
-> T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
forall a b. a -> b
coe
T_IsSemiring_1238 -> T_IsSemiringWithoutOne_952
MAlonzo.Code.Algebra.Structures.du_isSemiringWithoutOne_1326 T_IsSemiring_1238
v4
d_zero_1358 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_1358 :: T_IsSemiring_1238 -> T_Σ_14
d_zero_1358 T_IsSemiring_1238
v0
= (T_IsSemiring_1238 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsSemiring_1238 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_1254 (T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
v0)
d_assoc_1366 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1366 :: T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1366 = T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1368 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1368 :: T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1368 = T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1374 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1374 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
d_identity_1374 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160 (T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0))
d_isMagma_1380 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1380 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMagma_86
d_isMagma_1380 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160 (T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)))
d_'42''45'isMonoid_1382 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'isMonoid_1382 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
d_'42''45'isMonoid_1382 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160 (T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)
d_isSemigroup_1384 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1384 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsSemigroup_194
d_isSemigroup_1384 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_'42''45'isMonoid_1160 (T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0))
d_assoc_1386 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1386 :: T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer -> Integer -> Integer -> T__'8801'__12
d_assoc_1386 = T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_comm_1388 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_1388 :: T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer -> Integer -> T__'8801'__12
d_comm_1388 = T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1390 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1390 :: T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1390 = T_IsSemiringWithoutAnnihilatingZero_1142
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1396 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1396 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
d_identity_1396 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
(T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)))
d_'43''45'isCommutativeMonoid_1404 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_1404 :: T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_1404 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
(T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)
d_isMagma_1408 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1408 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMagma_86
d_isMagma_1408 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
(T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0))))
d_isMonoid_1410 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_1410 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsMonoid_358
d_isMonoid_1410 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
(T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0))
d_isSemigroup_1412 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1412 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsSemigroup_194
d_isSemigroup_1412 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
(T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)))
d_distrib_1414 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_1414 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
d_distrib_1414 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14)
-> Any -> T_Σ_14
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_1162 (T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)
d_isEquivalence_1420 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutAnnihilatingZero_1142 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1420 :: T_IsSemiringWithoutAnnihilatingZero_1142 -> T_IsEquivalence_26
d_isEquivalence_1420 T_IsSemiringWithoutAnnihilatingZero_1142
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_1158
(T_IsSemiringWithoutAnnihilatingZero_1142 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutAnnihilatingZero_1142
v0)))))
d_assoc_1436 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1436 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
d_assoc_1436 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1438 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1438 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1438 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_isMagma_1444 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1444 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> T_IsMagma_86
d_isMagma_1444 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsSemiringWithoutOne_952
v3 = T_IsSemiringWithoutOne_952 -> T_IsMagma_86
du_isMagma_1444 T_IsSemiringWithoutOne_952
v3
du_isMagma_1444 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_isMagma_1444 :: T_IsSemiringWithoutOne_952 -> T_IsMagma_86
du_isMagma_1444 T_IsSemiringWithoutOne_952
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_'42''45'isSemigroup_970 (T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0))
d_'42''45'isSemigroup_1446 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'42''45'isSemigroup_1446 :: T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
d_'42''45'isSemigroup_1446 T_IsSemiringWithoutOne_952
v0
= (T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194)
-> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_'42''45'isSemigroup_970 (T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)
d_assoc_1448 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_assoc_1448 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
d_assoc_1448 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_comm_1450 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_comm_1450 :: T_IsSemiringWithoutOne_952 -> Integer -> Integer -> T__'8801'__12
d_comm_1450 = T_IsSemiringWithoutOne_952 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8729''45'cong_1452 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8729''45'cong_1452 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
d_'8729''45'cong_1452 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_identity_1458 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_identity_1458 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> T_Σ_14
d_identity_1458 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsSemiringWithoutOne_952
v3 = T_IsSemiringWithoutOne_952 -> T_Σ_14
du_identity_1458 T_IsSemiringWithoutOne_952
v3
du_identity_1458 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_identity_1458 :: T_IsSemiringWithoutOne_952 -> T_Σ_14
du_identity_1458 T_IsSemiringWithoutOne_952
v0
= (T_IsMonoid_358 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe
T_IsMonoid_358 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_identity_370
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)))
d_'43''45'isCommutativeMonoid_1466 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_1466 :: T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
d_'43''45'isCommutativeMonoid_1466 T_IsSemiringWithoutOne_952
v0
= (T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)
d_isMagma_1470 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_isMagma_1470 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> T_IsMagma_86
d_isMagma_1470 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsSemiringWithoutOne_952
v3 = T_IsSemiringWithoutOne_952 -> T_IsMagma_86
du_isMagma_1470 T_IsSemiringWithoutOne_952
v3
du_isMagma_1470 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
du_isMagma_1470 :: T_IsSemiringWithoutOne_952 -> T_IsMagma_86
du_isMagma_1470 T_IsSemiringWithoutOne_952
v0
= (T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0))))
d_isMonoid_1472 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_isMonoid_1472 :: T_IsSemiringWithoutOne_952 -> T_IsMonoid_358
d_isMonoid_1472 T_IsSemiringWithoutOne_952
v0
= (T_IsCommutativeMonoid_406 -> T_IsMonoid_358)
-> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0))
d_isSemigroup_1474 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_isSemigroup_1474 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> T_IsSemigroup_194
d_isSemigroup_1474 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsSemiringWithoutOne_952
v3 = T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
du_isSemigroup_1474 T_IsSemiringWithoutOne_952
v3
du_isSemigroup_1474 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
du_isSemigroup_1474 :: T_IsSemiringWithoutOne_952 -> T_IsSemigroup_194
du_isSemigroup_1474 T_IsSemiringWithoutOne_952
v0
= (T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)))
d_distrib_1476 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_distrib_1476 :: T_IsSemiringWithoutOne_952 -> T_Σ_14
d_distrib_1476 T_IsSemiringWithoutOne_952
v0
= (T_IsSemiringWithoutOne_952 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsSemiringWithoutOne_952 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_distrib_972 (T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)
d_distrib'691'_1478 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'691'_1478 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
d_distrib'691'_1478 = (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> Integer
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_isEquivalence_1480 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1480 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> T_IsEquivalence_26
d_isEquivalence_1480 ~Integer -> Integer -> Integer
v0 ~Integer -> Integer -> Integer
v1 ~Integer
v2 T_IsSemiringWithoutOne_952
v3 = T_IsSemiringWithoutOne_952 -> T_IsEquivalence_26
du_isEquivalence_1480 T_IsSemiringWithoutOne_952
v3
du_isEquivalence_1480 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_1480 :: T_IsSemiringWithoutOne_952 -> T_IsEquivalence_26
du_isEquivalence_1480 T_IsSemiringWithoutOne_952
v0
= (T_IsMagma_86 -> T_IsEquivalence_26) -> Any -> T_IsEquivalence_26
forall a b. a -> b
coe
T_IsMagma_86 -> T_IsEquivalence_26
MAlonzo.Code.Algebra.Structures.d_isEquivalence_94
((T_IsSemigroup_194 -> T_IsMagma_86) -> Any -> Any
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.d_isMagma_202
((T_IsMonoid_358 -> T_IsSemigroup_194) -> Any -> Any
forall a b. a -> b
coe
T_IsMonoid_358 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.d_isSemigroup_368
((T_IsCommutativeMonoid_406 -> T_IsMonoid_358) -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.d_isMonoid_416
((T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406)
-> Any -> Any
forall a b. a -> b
coe
T_IsSemiringWithoutOne_952 -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.d_'43''45'isCommutativeMonoid_968
(T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)))))
d_isNearSemiring_1482 ::
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
Integer ->
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Algebra.Structures.T_IsNearSemiring_876
d_isNearSemiring_1482 :: (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsSemiringWithoutOne_952
-> T_IsNearSemiring_876
d_isNearSemiring_1482 Integer -> Integer -> Integer
v0 Integer -> Integer -> Integer
v1 Integer
v2 T_IsSemiringWithoutOne_952
v3
= (T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876)
-> T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
forall a b. a -> b
coe T_IsSemiringWithoutOne_952 -> T_IsNearSemiring_876
MAlonzo.Code.Algebra.Structures.du_isNearSemiring_990 T_IsSemiringWithoutOne_952
v3
d_zero_1496 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiringWithoutOne_952 ->
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_zero_1496 :: T_IsSemiringWithoutOne_952 -> T_Σ_14
d_zero_1496 T_IsSemiringWithoutOne_952
v0
= (T_IsSemiringWithoutOne_952 -> T_Σ_14) -> Any -> T_Σ_14
forall a b. a -> b
coe T_IsSemiringWithoutOne_952 -> T_Σ_14
MAlonzo.Code.Algebra.Structures.d_zero_974 (T_IsSemiringWithoutOne_952 -> Any
forall a b. a -> b
coe T_IsSemiringWithoutOne_952
v0)
d_Homomorphic'8320'_1504 ::
(Integer -> Integer) -> Integer -> Integer -> ()
d_Homomorphic'8320'_1504 :: (Integer -> Integer) -> Integer -> Integer -> ()
d_Homomorphic'8320'_1504 = (Integer -> Integer) -> Integer -> Integer -> ()
forall a. a
erased
d_Homomorphic'8321'_1506 ::
(Integer -> Integer) ->
(Integer -> Integer) -> (Integer -> Integer) -> ()
d_Homomorphic'8321'_1506 :: (Integer -> Integer)
-> (Integer -> Integer) -> (Integer -> Integer) -> ()
d_Homomorphic'8321'_1506 = (Integer -> Integer)
-> (Integer -> Integer) -> (Integer -> Integer) -> ()
forall a. a
erased
d_Homomorphic'8322'_1508 ::
(Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) -> ()
d_Homomorphic'8322'_1508 :: (Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> ()
d_Homomorphic'8322'_1508 = (Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> ()
forall a. a
erased
d_Morphism_1510 :: ()
d_Morphism_1510 :: ()
d_Morphism_1510 = ()
forall a. a
erased
d_Homomorphic'8320'_1514 ::
(Integer -> Integer) -> Integer -> Integer -> ()
d_Homomorphic'8320'_1514 :: (Integer -> Integer) -> Integer -> Integer -> ()
d_Homomorphic'8320'_1514 = (Integer -> Integer) -> Integer -> Integer -> ()
forall a. a
erased
d_Homomorphic'8321'_1516 ::
(Integer -> Integer) ->
(Integer -> Integer) -> (Integer -> Integer) -> ()
d_Homomorphic'8321'_1516 :: (Integer -> Integer)
-> (Integer -> Integer) -> (Integer -> Integer) -> ()
d_Homomorphic'8321'_1516 = (Integer -> Integer)
-> (Integer -> Integer) -> (Integer -> Integer) -> ()
forall a. a
erased
d_Homomorphic'8322'_1518 ::
(Integer -> Integer) ->
(Integer -> Integer -> Integer) ->
(Integer -> Integer -> Integer) -> ()
d_Homomorphic'8322'_1518 :: (Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> ()
d_Homomorphic'8322'_1518 = (Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> ()
forall a. a
erased
d_Morphism_1520 :: ()
d_Morphism_1520 :: ()
d_Morphism_1520 = ()
forall a. a
erased
d_'43''45'injective_1526 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'injective_1526 :: Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'43''45'injective_1526 = Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'45''91'1'43''45'injective_1532 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'45''91'1'43''45'injective_1532 :: Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'45''91'1'43''45'injective_1532 = Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'43''91'1'43''45'injective_1538 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''91'1'43''45'injective_1538 :: Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_'43''91'1'43''45'injective_1538 = Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d__'8799'__1540 ::
Integer -> Integer -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__1540 :: Integer -> Integer -> T_Dec_32
d__'8799'__1540 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> T_Dec_32
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
Any
forall a. a
erased
((Integer -> Integer -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T_Dec_32
MAlonzo.Code.Data.Nat.Properties.d__'8799'__1528 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
Any
_ -> (Bool -> T_Reflects_14 -> T_Dec_32) -> Any -> Any -> T_Dec_32
forall a b. a -> b
coe
Bool -> T_Reflects_14 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.C__because__46
(Bool -> Any
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
MAlonzo.Code.Relation.Nullary.C_of'8319'_26)
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T_Dec_32
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Bool -> T_Reflects_14 -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Reflects_14 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.C__because__46
(Bool -> Any
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
MAlonzo.Code.Relation.Nullary.C_of'8319'_26)
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
Any
forall a. a
erased
((Integer -> Integer -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T_Dec_32
MAlonzo.Code.Data.Nat.Properties.d__'8799'__1528 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v3))))
d_'8801''45'setoid_1558 ::
MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44
d_'8801''45'setoid_1558 :: T_Setoid_44
d_'8801''45'setoid_1558
= T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe
T_Setoid_44
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_setoid_250
d_'8801''45'decSetoid_1560 ::
MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84
d_'8801''45'decSetoid_1560 :: T_DecSetoid_84
d_'8801''45'decSetoid_1560
= ((Any -> Any -> T_Dec_32) -> T_DecSetoid_84)
-> Any -> T_DecSetoid_84
forall a b. a -> b
coe
(Any -> Any -> T_Dec_32) -> T_DecSetoid_84
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_decSetoid_254
((Integer -> Integer -> T_Dec_32) -> Any
forall a b. a -> b
coe Integer -> Integer -> T_Dec_32
d__'8799'__1540)
d_drop'8255''43''8804''43'_1566 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_drop'8255''43''8804''43'_1566 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__18
d_drop'8255''43''8804''43'_1566 ~Integer
v0 ~Integer
v1 T__'8804'__26
v2
= T__'8804'__26 -> T__'8804'__18
du_drop'8255''43''8804''43'_1566 T__'8804'__26
v2
du_drop'8255''43''8804''43'_1566 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
du_drop'8255''43''8804''43'_1566 :: T__'8804'__26 -> T__'8804'__18
du_drop'8255''43''8804''43'_1566 T__'8804'__26
v0
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v0 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v3 -> T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3
T__'8804'__26
_ -> T__'8804'__18
forall a. a
MAlonzo.RTE.mazUnreachableError
d_drop'8255''45''8804''45'_1574 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_drop'8255''45''8804''45'_1574 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__18
d_drop'8255''45''8804''45'_1574 ~Integer
v0 ~Integer
v1 T__'8804'__26
v2
= T__'8804'__26 -> T__'8804'__18
du_drop'8255''45''8804''45'_1574 T__'8804'__26
v2
du_drop'8255''45''8804''45'_1574 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
du_drop'8255''45''8804''45'_1574 :: T__'8804'__26 -> T__'8804'__18
du_drop'8255''45''8804''45'_1574 T__'8804'__26
v0
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v3 -> T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3
T__'8804'__26
_ -> T__'8804'__18
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'8804''45'reflexive_1578 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'reflexive_1578 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_'8804''45'reflexive_1578 Integer
v0 ~Integer
v1 ~T__'8801'__12
v2
= Integer -> T__'8804'__26
du_'8804''45'reflexive_1578 Integer
v0
du_'8804''45'reflexive_1578 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8804''45'reflexive_1578 :: Integer -> T__'8804'__26
du_'8804''45'reflexive_1578 Integer
v0
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
Any
_ -> let v1 :: Integer
v1 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
(Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634 (Integer -> Integer
forall a b. a -> b
coe Integer
v1)))
d_'8804''45'refl_1584 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'refl_1584 :: Integer -> T__'8804'__26
d_'8804''45'refl_1584 Integer
v0 = (Integer -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe Integer -> T__'8804'__26
du_'8804''45'reflexive_1578 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
d_'8804''45'trans_1586 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'trans_1586 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'8804''45'trans_1586 ~Integer
v0 ~Integer
v1 ~Integer
v2 T__'8804'__26
v3 T__'8804'__26
v4
= T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586 T__'8804'__26
v3 T__'8804'__26
v4
du_'8804''45'trans_1586 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8804''45'trans_1586 :: T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586 T__'8804'__26
v0 T__'8804'__26
v1
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v4
-> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v1 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''45'trans_1642 (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4))
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v4
-> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v1 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''45'trans_1642 (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7))
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'8804''45'antisym_1600 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8804''45'antisym_1600 :: Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
d_'8804''45'antisym_1600 = Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_'8804''45'total_1610 ::
Integer -> Integer -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8804''45'total_1610 :: Integer -> Integer -> T__'8846'__30
d_'8804''45'total_1610 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
((Any -> Any) -> (Any -> Any) -> T__'8846'__30 -> T__'8846'__30)
-> Any -> Any -> T__'8846'__30 -> T__'8846'__30
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any) -> T__'8846'__30 -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.du_map_84
((T__'8804'__18 -> T__'8804'__26) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48)
((T__'8804'__18 -> T__'8804'__26) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48)
(Integer -> Integer -> T__'8846'__30
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'total_1648
(Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe Integer
v1))
Any
_ -> (Any -> T__'8846'__30) -> Any -> T__'8846'__30
forall a b. a -> b
coe
Any -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8846'__30
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> T__'8846'__30) -> Any -> Any
forall a b. a -> b
coe
Any -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(((Any -> Any) -> (Any -> Any) -> T__'8846'__30 -> T__'8846'__30)
-> Any -> Any -> T__'8846'__30 -> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any) -> T__'8846'__30 -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.du_map_84
((T__'8804'__18 -> T__'8804'__26) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34)
((T__'8804'__18 -> T__'8804'__26) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34)
(Integer -> Integer -> T__'8846'__30
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'total_1648
(Integer -> Integer
forall a b. a -> b
coe Integer
v3) (Integer -> Integer
forall a b. a -> b
coe Integer
v2))))
d__'8804''63'__1628 ::
Integer -> Integer -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8804''63'__1628 :: Integer -> Integer -> T_Dec_32
d__'8804''63'__1628 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> T_Dec_32
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
((T__'8804'__18 -> T__'8804'__26) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48)
((Integer -> Integer -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T_Dec_32
MAlonzo.Code.Data.Nat.Properties.d__'8804''63'__1676 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
Any
_ -> (Bool -> T_Reflects_14 -> T_Dec_32) -> Any -> Any -> T_Dec_32
forall a b. a -> b
coe
Bool -> T_Reflects_14 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.C__because__46
(Bool -> Any
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
MAlonzo.Code.Relation.Nullary.C_of'8319'_26)
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T_Dec_32
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Bool -> T_Reflects_14 -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Reflects_14 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.C__because__46
(Bool -> Any
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_true_10)
((Any -> T_Reflects_14) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Reflects_14
MAlonzo.Code.Relation.Nullary.C_of'696'_22
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40))
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
((T__'8804'__18 -> T__'8804'__26) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34)
((Integer -> Integer -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T_Dec_32
MAlonzo.Code.Data.Nat.Properties.d__'8804''63'__1676 (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(Integer -> Any
forall a b. a -> b
coe Integer
v2))))
d_'8804''45'irrelevant_1646 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8804''45'irrelevant_1646 :: Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
d_'8804''45'irrelevant_1646 = Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_'8804''45'isPreorder_1656 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_'8804''45'isPreorder_1656 :: T_IsPreorder_70
d_'8804''45'isPreorder_1656
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_IsPreorder_70)
-> Any
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_IsPreorder_70
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.C_IsPreorder'46'constructor_3993
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
(\ Any
v0 Any
v1 Any
v2 -> (Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
du_'8804''45'reflexive_1578 Any
v0)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586 Any
v3 Any
v4)
d_'8804''45'isTotalPreorder_1658 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
d_'8804''45'isTotalPreorder_1658 :: T_IsTotalPreorder_118
d_'8804''45'isTotalPreorder_1658
= (T_IsPreorder_70
-> (Any -> Any -> T__'8846'__30) -> T_IsTotalPreorder_118)
-> Any -> Any -> T_IsTotalPreorder_118
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> T__'8846'__30) -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Structures.C_IsTotalPreorder'46'constructor_7939
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'8846'__30) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'8846'__30
d_'8804''45'total_1610)
d_'8804''45'isPartialOrder_1660 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_162
d_'8804''45'isPartialOrder_1660 :: T_IsPartialOrder_162
d_'8804''45'isPartialOrder_1660
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any) -> T_IsPartialOrder_162)
-> Any -> Any -> T_IsPartialOrder_162
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any) -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.C_IsPartialOrder'46'constructor_9297
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) Any
forall a. a
erased
d_'8804''45'isTotalOrder_1662 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_384
d_'8804''45'isTotalOrder_1662 :: T_IsTotalOrder_384
d_'8804''45'isTotalOrder_1662
= (T_IsPartialOrder_162
-> (Any -> Any -> T__'8846'__30) -> T_IsTotalOrder_384)
-> Any -> Any -> T_IsTotalOrder_384
forall a b. a -> b
coe
T_IsPartialOrder_162
-> (Any -> Any -> T__'8846'__30) -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.C_IsTotalOrder'46'constructor_19815
(T_IsPartialOrder_162 -> Any
forall a b. a -> b
coe T_IsPartialOrder_162
d_'8804''45'isPartialOrder_1660) ((Integer -> Integer -> T__'8846'__30) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'8846'__30
d_'8804''45'total_1610)
d_'8804''45'isDecTotalOrder_1664 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_434
d_'8804''45'isDecTotalOrder_1664 :: T_IsDecTotalOrder_434
d_'8804''45'isDecTotalOrder_1664
= (T_IsTotalOrder_384
-> (Any -> Any -> T_Dec_32)
-> (Any -> Any -> T_Dec_32)
-> T_IsDecTotalOrder_434)
-> Any -> Any -> Any -> T_IsDecTotalOrder_434
forall a b. a -> b
coe
T_IsTotalOrder_384
-> (Any -> Any -> T_Dec_32)
-> (Any -> Any -> T_Dec_32)
-> T_IsDecTotalOrder_434
MAlonzo.Code.Relation.Binary.Structures.C_IsDecTotalOrder'46'constructor_21785
(T_IsTotalOrder_384 -> Any
forall a b. a -> b
coe T_IsTotalOrder_384
d_'8804''45'isTotalOrder_1662) ((Integer -> Integer -> T_Dec_32) -> Any
forall a b. a -> b
coe Integer -> Integer -> T_Dec_32
d__'8799'__1540)
((Integer -> Integer -> T_Dec_32) -> Any
forall a b. a -> b
coe Integer -> Integer -> T_Dec_32
d__'8804''63'__1628)
d_'8804''45'preorder_1666 ::
MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132
d_'8804''45'preorder_1666 :: T_Preorder_132
d_'8804''45'preorder_1666
= (T_IsPreorder_70 -> T_Preorder_132)
-> T_IsPreorder_70 -> T_Preorder_132
forall a b. a -> b
coe
T_IsPreorder_70 -> T_Preorder_132
MAlonzo.Code.Relation.Binary.Bundles.C_Preorder'46'constructor_2269
T_IsPreorder_70
d_'8804''45'isPreorder_1656
d_'8804''45'totalPreorder_1668 ::
MAlonzo.Code.Relation.Binary.Bundles.T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 :: T_TotalPreorder_204
d_'8804''45'totalPreorder_1668
= (T_IsTotalPreorder_118 -> T_TotalPreorder_204)
-> T_IsTotalPreorder_118 -> T_TotalPreorder_204
forall a b. a -> b
coe
T_IsTotalPreorder_118 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Bundles.C_TotalPreorder'46'constructor_3669
T_IsTotalPreorder_118
d_'8804''45'isTotalPreorder_1658
d_'8804''45'poset_1670 ::
MAlonzo.Code.Relation.Binary.Bundles.T_Poset_282
d_'8804''45'poset_1670 :: T_Poset_282
d_'8804''45'poset_1670
= (T_IsPartialOrder_162 -> T_Poset_282)
-> T_IsPartialOrder_162 -> T_Poset_282
forall a b. a -> b
coe
T_IsPartialOrder_162 -> T_Poset_282
MAlonzo.Code.Relation.Binary.Bundles.C_Poset'46'constructor_5219
T_IsPartialOrder_162
d_'8804''45'isPartialOrder_1660
d_'8804''45'totalOrder_1672 ::
MAlonzo.Code.Relation.Binary.Bundles.T_TotalOrder_652
d_'8804''45'totalOrder_1672 :: T_TotalOrder_652
d_'8804''45'totalOrder_1672
= (T_IsTotalOrder_384 -> T_TotalOrder_652)
-> T_IsTotalOrder_384 -> T_TotalOrder_652
forall a b. a -> b
coe
T_IsTotalOrder_384 -> T_TotalOrder_652
MAlonzo.Code.Relation.Binary.Bundles.C_TotalOrder'46'constructor_12489
T_IsTotalOrder_384
d_'8804''45'isTotalOrder_1662
d_'8804''45'decTotalOrder_1674 ::
MAlonzo.Code.Relation.Binary.Bundles.T_DecTotalOrder_740
d_'8804''45'decTotalOrder_1674 :: T_DecTotalOrder_740
d_'8804''45'decTotalOrder_1674
= (T_IsDecTotalOrder_434 -> T_DecTotalOrder_740)
-> T_IsDecTotalOrder_434 -> T_DecTotalOrder_740
forall a b. a -> b
coe
T_IsDecTotalOrder_434 -> T_DecTotalOrder_740
MAlonzo.Code.Relation.Binary.Bundles.C_DecTotalOrder'46'constructor_14337
T_IsDecTotalOrder_434
d_'8804''45'isDecTotalOrder_1664
d_'8804''7495''8658''8804'_1680 ::
Integer ->
Integer -> AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''7495''8658''8804'_1680 :: Integer -> Integer -> Any -> T__'8804'__26
d_'8804''7495''8658''8804'_1680 Integer
v0 Integer
v1 ~Any
v2
= Integer -> Integer -> T__'8804'__26
du_'8804''7495''8658''8804'_1680 Integer
v0 Integer
v1
du_'8804''7495''8658''8804'_1680 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8804''7495''8658''8804'_1680 :: Integer -> Integer -> T__'8804'__26
du_'8804''7495''8658''8804'_1680 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''7495''8658''8804'_1600
(Integer -> Any
forall a b. a -> b
coe Integer
v0))
Any
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''7495''8658''8804'_1600
(Integer -> Any
forall a b. a -> b
coe Integer
v2)))
d_'8804''8658''8804''7495'_1692 ::
Integer ->
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26 -> AgdaAny
d_'8804''8658''8804''7495'_1692 :: Integer -> Integer -> T__'8804'__26 -> Any
d_'8804''8658''8804''7495'_1692 ~Integer
v0 ~Integer
v1 T__'8804'__26
v2
= T__'8804'__26 -> Any
du_'8804''8658''8804''7495'_1692 T__'8804'__26
v2
du_'8804''8658''8804''7495'_1692 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 -> AgdaAny
du_'8804''8658''8804''7495'_1692 :: T__'8804'__26 -> Any
du_'8804''8658''8804''7495'_1692 T__'8804'__26
v0
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v3
-> (T__'8804'__18 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> Any
MAlonzo.Code.Data.Nat.Properties.du_'8804''8658''8804''7495'_1616
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v3)
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> () -> Any
forall a b. a -> b
coe ()
MAlonzo.Code.Agda.Builtin.Unit.C_tt_8
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v3
-> (T__'8804'__18 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> Any
MAlonzo.Code.Data.Nat.Properties.du_'8804''8658''8804''7495'_1616
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v3)
T__'8804'__26
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError
d_drop'8255''43''60''43'_1702 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_drop'8255''43''60''43'_1702 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__18
d_drop'8255''43''60''43'_1702 ~Integer
v0 ~Integer
v1 T__'60'__50
v2
= T__'60'__50 -> T__'8804'__18
du_drop'8255''43''60''43'_1702 T__'60'__50
v2
du_drop'8255''43''60''43'_1702 ::
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
du_drop'8255''43''60''43'_1702 :: T__'60'__50 -> T__'8804'__18
du_drop'8255''43''60''43'_1702 T__'60'__50
v0
= case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v0 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v3 -> T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3
T__'60'__50
_ -> T__'8804'__18
forall a. a
MAlonzo.RTE.mazUnreachableError
d_drop'8255''45''60''45'_1710 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_drop'8255''45''60''45'_1710 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__18
d_drop'8255''45''60''45'_1710 ~Integer
v0 ~Integer
v1 T__'60'__50
v2
= T__'60'__50 -> T__'8804'__18
du_drop'8255''45''60''45'_1710 T__'60'__50
v2
du_drop'8255''45''60''45'_1710 ::
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
du_drop'8255''45''60''45'_1710 :: T__'60'__50 -> T__'8804'__18
du_drop'8255''45''60''45'_1710 T__'60'__50
v0
= case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v3 -> T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3
T__'60'__50
_ -> T__'8804'__18
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'43''8814'0_1716 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'43''8814'0_1716 :: Integer -> T__'60'__50 -> T_'8869'_4
d_'43''8814'0_1716 = Integer -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_'43''8814''45'_1722 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'43''8814''45'_1722 :: Integer -> Integer -> T__'60'__50 -> T_'8869'_4
d_'43''8814''45'_1722 = Integer -> Integer -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_'60''8658''8804'_1724 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'60''8658''8804'_1724 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724 Integer
v0 Integer
v1 T__'60'__50
v2
= case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v5
-> let v6 :: Integer
v6 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 (Integer -> Any
forall a b. a -> b
coe Integer
v6)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5)))
T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
-> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5))
T__'60'__50
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'60''8658''8802'_1730 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'60''8658''8802'_1730 :: Integer -> Integer -> T__'60'__50 -> T__'8801'__12 -> T_'8869'_4
d_'60''8658''8802'_1730 = Integer -> Integer -> T__'60'__50 -> T__'8801'__12 -> T_'8869'_4
forall a. a
erased
d_'60''8658''8817'_1736 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'60''8658''8817'_1736 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__26 -> T_'8869'_4
d_'60''8658''8817'_1736 = Integer -> Integer -> T__'60'__50 -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'8804''8658''8815'_1742 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'8804''8658''8815'_1742 :: Integer -> Integer -> T__'8804'__26 -> T__'60'__50 -> T_'8869'_4
d_'8804''8658''8815'_1742 = Integer -> Integer -> T__'8804'__26 -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_'8816''8658''62'_1752 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'8816''8658''62'_1752 :: Integer -> Integer -> (T__'8804'__26 -> T_'8869'_4) -> T__'60'__50
d_'8816''8658''62'_1752 Integer
v0 Integer
v1 ~T__'8804'__26 -> T_'8869'_4
v2 = Integer -> Integer -> T__'60'__50
du_'8816''8658''62'_1752 Integer
v0 Integer
v1
du_'8816''8658''62'_1752 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'8816''8658''62'_1752 :: Integer -> Integer -> T__'60'__50
du_'8816''8658''62'_1752 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8816''8658''62'_1770 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
Any
_ -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'60'__50
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
Any -> Any
forall a b. a -> b
coe Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8816''8658''62'_1770 (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(Integer -> Any
forall a b. a -> b
coe Integer
v2))))
d_'8814''8658''8805'_1778 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8814''8658''8805'_1778 :: Integer -> Integer -> (T__'60'__50 -> T_'8869'_4) -> T__'8804'__26
d_'8814''8658''8805'_1778 Integer
v0 Integer
v1 ~T__'60'__50 -> T_'8869'_4
v2
= Integer -> Integer -> T__'8804'__26
du_'8814''8658''8805'_1778 Integer
v0 Integer
v1
du_'8814''8658''8805'_1778 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8814''8658''8805'_1778 :: Integer -> Integer -> T__'8804'__26
du_'8814''8658''8805'_1778 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8814''8658''8805'_1784
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
Any
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
Any -> Any
forall a b. a -> b
coe Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8814''8658''8805'_1784
(Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v2))))
d_'62''8658''8816'_1804 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'62''8658''8816'_1804 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__26 -> T_'8869'_4
d_'62''8658''8816'_1804 = Integer -> Integer -> T__'60'__50 -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'8804''8743''8802''8658''60'_1810 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
(MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'8804''8743''8802''8658''60'_1810 :: Integer
-> Integer
-> T__'8804'__26
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'60'__50
d_'8804''8743''8802''8658''60'_1810 Integer
v0 Integer
v1 T__'8804'__26
v2 ~T__'8801'__12 -> T_'8869'_4
v3
= Integer -> Integer -> T__'8804'__26 -> T__'60'__50
du_'8804''8743''8802''8658''60'_1810 Integer
v0 Integer
v1 T__'8804'__26
v2
du_'8804''8743''8802''8658''60'_1810 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'8804''8743''8802''8658''60'_1810 :: Integer -> Integer -> T__'8804'__26 -> T__'60'__50
du_'8804''8743''8802''8658''60'_1810 Integer
v0 Integer
v1 T__'8804'__26
v2
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v5
-> let v6 :: Integer
v6 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'60'__50
forall a b. a -> b
coe
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''8743''8802''8658''60'_1800
(Integer -> Any
forall a b. a -> b
coe Integer
v6) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5)))
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''8743''8802''8658''60'_1800
(Integer -> Any
forall a b. a -> b
coe Integer
v1) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5))
T__'8804'__26
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'8804''8743''8814''8658''8801'_1826 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
(MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8804''8743''8814''8658''8801'_1826 :: Integer
-> Integer
-> T__'8804'__26
-> (T__'60'__50 -> T_'8869'_4)
-> T__'8801'__12
d_'8804''8743''8814''8658''8801'_1826 = Integer
-> Integer
-> T__'8804'__26
-> (T__'60'__50 -> T_'8869'_4)
-> T__'8801'__12
forall a. a
erased
d_'60''45'irrefl_1832 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'60''45'irrefl_1832 :: Integer -> Integer -> T__'8801'__12 -> T__'60'__50 -> T_'8869'_4
d_'60''45'irrefl_1832 = Integer -> Integer -> T__'8801'__12 -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_'60''45'asym_1838 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'60''45'asym_1838 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T_'8869'_4
d_'60''45'asym_1838 = Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_'8804''45''60''45'trans_1844 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'8804''45''60''45'trans_1844 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'60'__50
-> T__'60'__50
d_'8804''45''60''45'trans_1844 ~Integer
v0 ~Integer
v1 ~Integer
v2 T__'8804'__26
v3 T__'60'__50
v4
= T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 T__'8804'__26
v3 T__'60'__50
v4
du_'8804''45''60''45'trans_1844 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'8804''45''60''45'trans_1844 :: T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 T__'8804'__26
v0 T__'60'__50
v1
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v4
-> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v1 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'737'_1874
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4))
T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
-> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v1) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v4
-> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v1 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7))
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'60''45''8804''45'trans_1858 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'60''45''8804''45'trans_1858 :: Integer
-> Integer
-> Integer
-> T__'60'__50
-> T__'8804'__26
-> T__'60'__50
d_'60''45''8804''45'trans_1858 ~Integer
v0 ~Integer
v1 ~Integer
v2 T__'60'__50
v3 T__'8804'__26
v4
= T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 T__'60'__50
v3 T__'8804'__26
v4
du_'60''45''8804''45'trans_1858 ::
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'60''45''8804''45'trans_1858 :: T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 T__'60'__50
v0 T__'8804'__26
v1
= case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v4
-> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v1 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4))
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
T__'8804'__26
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
-> (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v1) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v4
-> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v1 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'737'_1874
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7))
T__'8804'__26
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'60''45'trans_1872 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'60''45'trans_1872 :: Integer
-> Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
d_'60''45'trans_1872 Integer
v0 Integer
v1 ~Integer
v2 T__'60'__50
v3 T__'60'__50
v4
= Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Integer
v0 Integer
v1 T__'60'__50
v3 T__'60'__50
v4
du_'60''45'trans_1872 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'60''45'trans_1872 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Integer
v0 Integer
v1 T__'60'__50
v2 T__'60'__50
v3
= (T__'8804'__26 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844
((Integer -> Integer -> T__'60'__50 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2)) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3)
d_'60''45'cmp_1878 ::
Integer ->
Integer -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_136
d_'60''45'cmp_1878 :: Integer -> Integer -> T_Tri_136
d_'60''45'cmp_1878 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
let v2 :: t
v2
= (Any -> T_Tri_136) -> Any -> t
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64) in
Any -> T_Tri_136
forall a b. a -> b
coe
(case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158 Any
forall a. a
erased
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
(Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)))
Integer
_ -> Any -> Any
forall a b. a -> b
coe Any
forall a. a
v2
Integer
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
(case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
(let v5 :: t
v5
= ((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> t
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
Any
forall a. a
erased
((Bool -> T_Dec_32) -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Bool
eqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))) in
Any -> Any
forall a b. a -> b
coe
(let v6 :: T_Dec_32
v6
= Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
ltInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Dec_32
forall a b. a -> b
coe Any
forall a. a
v5 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v7 T_Reflects_14
v8
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v7
then (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v8)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased)
else (let v9 :: b
v9
= Any -> b -> b
forall a b. a -> b -> b
seq
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v8)
(case T_Dec_32 -> T_Dec_32
forall a b. a -> b
coe T_Dec_32
v6 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v9 T_Reflects_14
v10
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v9
then (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v10)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''7495''8658''60'_1566
(Integer -> Any
forall a b. a -> b
coe Integer
v3)))
else (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v10)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''8743''8802''8658''60'_1800
(Integer -> Any
forall a b. a -> b
coe Integer
v3)
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8814''8658''8805'_1784
(Integer -> Any
forall a b. a -> b
coe Integer
v3)
(Integer -> Any
forall a b. a -> b
coe Integer
v4))))
T_Dec_32
_ -> b
forall a. a
MAlonzo.RTE.mazUnreachableError) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Tri_136
forall a b. a -> b
coe Any
forall a. a
v9 of
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150 Any
v10
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
Any
v10))
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158 Any
v11
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166 Any
v12
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
Any
v12))
T_Tri_136
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
T_Dec_32
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)))
Integer
_ -> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)))
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T_Tri_136
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(let v4 :: t
v4
= ((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> t
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
Any
forall a. a
erased
((Bool -> T_Dec_32) -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Bool
eqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))) in
Any -> Any
forall a b. a -> b
coe
(let v5 :: T_Dec_32
v5
= Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
ltInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Dec_32
forall a b. a -> b
coe Any
forall a. a
v4 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v6 T_Reflects_14
v7
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v6
then (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased)
else (let v8 :: b
v8
= Any -> b -> b
forall a b. a -> b -> b
seq
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
(case T_Dec_32 -> T_Dec_32
forall a b. a -> b
coe T_Dec_32
v5 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v8 T_Reflects_14
v9
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v8
then (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v9)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''7495''8658''60'_1566
(Integer -> Any
forall a b. a -> b
coe Integer
v2)))
else (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v9)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''8743''8802''8658''60'_1800
(Integer -> Any
forall a b. a -> b
coe Integer
v2)
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8814''8658''8805'_1784
(Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v3))))
T_Dec_32
_ -> b
forall a. a
MAlonzo.RTE.mazUnreachableError) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Tri_136
forall a b. a -> b
coe Any
forall a. a
v8 of
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150 Any
v9
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
Any
v9)
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158 Any
v10
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166 Any
v11
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
Any
v11)
T_Tri_136
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
T_Dec_32
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))))
d__'60''63'__1968 ::
Integer -> Integer -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'60''63'__1968 :: Integer -> Integer -> T_Dec_32
d__'60''63'__1968 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> T_Dec_32
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
((T__'8804'__18 -> T__'60'__50) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72)
((Integer -> Integer -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T_Dec_32
MAlonzo.Code.Data.Nat.Properties.d__'60''63'__1912 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
Any
_ -> (Bool -> T_Reflects_14 -> T_Dec_32) -> Any -> Any -> T_Dec_32
forall a b. a -> b
coe
Bool -> T_Reflects_14 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.C__because__46
(Bool -> Any
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_false_8)
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
MAlonzo.Code.Relation.Nullary.C_of'8319'_26)
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T_Dec_32
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Bool -> T_Reflects_14 -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Reflects_14 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.C__because__46
(Bool -> Any
forall a b. a -> b
coe Bool
MAlonzo.Code.Agda.Builtin.Bool.C_true_10)
((Any -> T_Reflects_14) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Reflects_14
MAlonzo.Code.Relation.Nullary.C_of'696'_22
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64))
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
((T__'8804'__18 -> T__'60'__50) -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58)
((Integer -> Integer -> T_Dec_32) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T_Dec_32
MAlonzo.Code.Data.Nat.Properties.d__'60''63'__1912 (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(Integer -> Any
forall a b. a -> b
coe Integer
v2))))
d_'60''45'irrelevant_1986 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'60''45'irrelevant_1986 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'8801'__12
d_'60''45'irrelevant_1986 = Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'8801'__12
forall a. a
erased
d_'60''45'isStrictPartialOrder_1996 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
d_'60''45'isStrictPartialOrder_1996 :: T_IsStrictPartialOrder_266
d_'60''45'isStrictPartialOrder_1996
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> T_IsStrictPartialOrder_266)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> T_IsStrictPartialOrder_266
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.C_IsStrictPartialOrder'46'constructor_13145
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v0 Any
v1 Any
v3 Any
v4)
((Any -> Any -> T_Σ_14) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
((Any -> Any -> Any -> Any -> Any -> Any) -> Any
forall a b. a -> b
coe (\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> Any
v4)) ((Any -> Any -> Any -> Any -> Any -> Any) -> Any
forall a b. a -> b
coe (\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> Any
v4)))
d_'60''45'isStrictTotalOrder_2002 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_502
d_'60''45'isStrictTotalOrder_2002 :: T_IsStrictTotalOrder_502
d_'60''45'isStrictTotalOrder_2002
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> (Any -> Any -> T_Tri_136)
-> T_IsStrictTotalOrder_502)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> T_IsStrictTotalOrder_502
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> (Any -> Any -> T_Tri_136)
-> T_IsStrictTotalOrder_502
MAlonzo.Code.Relation.Binary.Structures.C_IsStrictTotalOrder'46'constructor_23999
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v0 Any
v1 Any
v3 Any
v4)
((Integer -> Integer -> T_Tri_136) -> Any
forall a b. a -> b
coe Integer -> Integer -> T_Tri_136
d_'60''45'cmp_1878)
d_'60''45'strictPartialOrder_2004 ::
MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_472
d_'60''45'strictPartialOrder_2004 :: T_StrictPartialOrder_472
d_'60''45'strictPartialOrder_2004
= (T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472)
-> T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
forall a b. a -> b
coe
T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
MAlonzo.Code.Relation.Binary.Bundles.C_StrictPartialOrder'46'constructor_8957
T_IsStrictPartialOrder_266
d_'60''45'isStrictPartialOrder_1996
d_'60''45'strictTotalOrder_2006 ::
MAlonzo.Code.Relation.Binary.Bundles.T_StrictTotalOrder_864
d_'60''45'strictTotalOrder_2006 :: T_StrictTotalOrder_864
d_'60''45'strictTotalOrder_2006
= (T_IsStrictTotalOrder_502 -> T_StrictTotalOrder_864)
-> T_IsStrictTotalOrder_502 -> T_StrictTotalOrder_864
forall a b. a -> b
coe
T_IsStrictTotalOrder_502 -> T_StrictTotalOrder_864
MAlonzo.Code.Relation.Binary.Bundles.C_StrictTotalOrder'46'constructor_16739
T_IsStrictTotalOrder_502
d_'60''45'isStrictTotalOrder_2002
d_n'8814'n_2010 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_n'8814'n_2010 :: Integer -> T__'60'__50 -> T_'8869'_4
d_n'8814'n_2010 = Integer -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_'62''45'irrefl_2014 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'62''45'irrefl_2014 :: Integer -> Integer -> T__'8801'__12 -> T__'60'__50 -> T_'8869'_4
d_'62''45'irrefl_2014 = Integer -> Integer -> T__'8801'__12 -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d__IsRelatedTo__2020 :: p -> p -> ()
d__IsRelatedTo__2020 p
a0 p
a1 = ()
d__'8718'_2022 ::
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
d__'8718'_2022 :: Integer -> T__IsRelatedTo__70
d__'8718'_2022
= (T_IsPreorder_70 -> Any -> T__IsRelatedTo__70)
-> Any -> Integer -> T__IsRelatedTo__70
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
d__'8801''10216''10217'__2024 ::
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
d__'8801''10216''10217'__2024 :: T__IsRelatedTo__70 -> T__IsRelatedTo__70
d__'8801''10216''10217'__2024 T__IsRelatedTo__70
v0 = T__IsRelatedTo__70 -> T__IsRelatedTo__70
forall a b. a -> b
coe T__IsRelatedTo__70
v0
d_IsEquality_2026 :: p -> p -> p -> ()
d_IsEquality_2026 p
a0 p
a1 p
a2 = ()
d_IsEquality'63'_2028 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Nullary.T_Dec_32
d_IsEquality'63'_2028 :: Integer -> Integer -> T__IsRelatedTo__70 -> T_Dec_32
d_IsEquality'63'_2028 Integer
v0 Integer
v1 T__IsRelatedTo__70
v2
= (T__IsRelatedTo__70 -> T_Dec_32) -> T__IsRelatedTo__70 -> T_Dec_32
forall a b. a -> b
coe
T__IsRelatedTo__70 -> T_Dec_32
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_IsEquality'63'_142
T__IsRelatedTo__70
v2
d_IsStrict_2030 :: p -> p -> p -> ()
d_IsStrict_2030 p
a0 p
a1 p
a2 = ()
d_IsStrict'63'_2032 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Nullary.T_Dec_32
d_IsStrict'63'_2032 :: Integer -> Integer -> T__IsRelatedTo__70 -> T_Dec_32
d_IsStrict'63'_2032 Integer
v0 Integer
v1 T__IsRelatedTo__70
v2
= (T__IsRelatedTo__70 -> T_Dec_32) -> T__IsRelatedTo__70 -> T_Dec_32
forall a b. a -> b
coe
T__IsRelatedTo__70 -> T_Dec_32
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_IsStrict'63'_108
T__IsRelatedTo__70
v2
d_begin__2034 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_begin__2034 :: Integer -> Integer -> T__IsRelatedTo__70 -> T__'8804'__26
d_begin__2034
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any
-> Any
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
d_begin'45'equality__2036 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
AgdaAny -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_begin'45'equality__2036 :: Integer -> Integer -> T__IsRelatedTo__70 -> Any -> T__'8801'__12
d_begin'45'equality__2036 = Integer -> Integer -> T__IsRelatedTo__70 -> Any -> T__'8801'__12
forall a. a
erased
d_begin'45'strict__2038 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_begin'45'strict__2038 :: Integer -> Integer -> T__IsRelatedTo__70 -> Any -> T__'60'__50
d_begin'45'strict__2038 Integer
v0 Integer
v1 T__IsRelatedTo__70
v2 Any
v3
= (T__IsRelatedTo__70 -> Any) -> T__IsRelatedTo__70 -> T__'60'__50
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
T__IsRelatedTo__70
v2
d_extractEquality_2042 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T_IsEquality_126 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
= Integer
-> Integer
-> T__IsRelatedTo__70
-> T_IsEquality_126
-> T__'8801'__12
forall a. a
erased
d_extractStrict_2044 ::
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T_IsStrict_92 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
Integer
v0 Integer
v1 T__IsRelatedTo__70
v2 T_IsStrict_92
v3
= (T__IsRelatedTo__70 -> T_IsStrict_92 -> Any)
-> T__IsRelatedTo__70 -> T_IsStrict_92 -> T__'60'__50
forall a b. a -> b
coe
T__IsRelatedTo__70 -> T_IsStrict_92 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_extractStrict_118
T__IsRelatedTo__70
v2 T_IsStrict_92
v3
d_step'45''60'_2052 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
d_step'45''60'_2052 :: Integer
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'60'__50
-> T__IsRelatedTo__70
d_step'45''60'_2052
= ((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Integer
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'60'__50
-> T__IsRelatedTo__70
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v0 Any
v1 Any
v3 Any
v4)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v3 Any
v4)
d_step'45''8801'_2054 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
d_step'45''8801'_2054 :: Integer
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'8801'__12
-> T__IsRelatedTo__70
d_step'45''8801'_2054 ~Integer
v0 ~Integer
v1 ~Integer
v2 T__IsRelatedTo__70
v3 ~T__'8801'__12
v4
= T__IsRelatedTo__70 -> T__IsRelatedTo__70
du_step'45''8801'_2054 T__IsRelatedTo__70
v3
du_step'45''8801'_2054 ::
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
du_step'45''8801'_2054 :: T__IsRelatedTo__70 -> T__IsRelatedTo__70
du_step'45''8801'_2054 T__IsRelatedTo__70
v0 = T__IsRelatedTo__70 -> T__IsRelatedTo__70
forall a b. a -> b
coe T__IsRelatedTo__70
v0
d_step'45''8801''728'_2056 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
d_step'45''8801''728'_2056 :: Integer
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'8801'__12
-> T__IsRelatedTo__70
d_step'45''8801''728'_2056 ~Integer
v0 ~Integer
v1 ~Integer
v2 T__IsRelatedTo__70
v3 ~T__'8801'__12
v4
= T__IsRelatedTo__70 -> T__IsRelatedTo__70
du_step'45''8801''728'_2056 T__IsRelatedTo__70
v3
du_step'45''8801''728'_2056 ::
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
du_step'45''8801''728'_2056 :: T__IsRelatedTo__70 -> T__IsRelatedTo__70
du_step'45''8801''728'_2056 T__IsRelatedTo__70
v0 = T__IsRelatedTo__70 -> T__IsRelatedTo__70
forall a b. a -> b
coe T__IsRelatedTo__70
v0
d_step'45''8804'_2058 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.T__IsRelatedTo__70
d_step'45''8804'_2058 :: Integer
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'8804'__26
-> T__IsRelatedTo__70
d_step'45''8804'_2058
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Integer
-> Integer
-> Integer
-> T__IsRelatedTo__70
-> T__'8804'__26
-> T__IsRelatedTo__70
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v3 Any
v4)
d_positive'8315''185'_2080 ::
Integer -> AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_positive'8315''185'_2080 :: Integer -> Any -> T__'60'__50
d_positive'8315''185'_2080 ~Integer
v0 ~Any
v1 = T__'60'__50
du_positive'8315''185'_2080
du_positive'8315''185'_2080 ::
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_positive'8315''185'_2080 :: T__'60'__50
du_positive'8315''185'_2080
= (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
d_nonNegative'8315''185'_2086 ::
Integer -> AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_nonNegative'8315''185'_2086 :: Integer -> Any -> T__'8804'__26
d_nonNegative'8315''185'_2086 ~Integer
v0 ~Any
v1
= T__'8804'__26
du_nonNegative'8315''185'_2086
du_nonNegative'8315''185'_2086 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_nonNegative'8315''185'_2086 :: T__'8804'__26
du_nonNegative'8315''185'_2086
= (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
d_negative'8315''185'_2092 ::
Integer -> AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_negative'8315''185'_2092 :: Integer -> Any -> T__'60'__50
d_negative'8315''185'_2092 ~Integer
v0 ~Any
v1 = T__'60'__50
du_negative'8315''185'_2092
du_negative'8315''185'_2092 ::
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_negative'8315''185'_2092 :: T__'60'__50
du_negative'8315''185'_2092
= T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
d_nonPositive'8315''185'_2098 ::
Integer -> AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_nonPositive'8315''185'_2098 :: Integer -> Any -> T__'8804'__26
d_nonPositive'8315''185'_2098 Integer
v0 ~Any
v1
= Integer -> T__'8804'__26
du_nonPositive'8315''185'_2098 Integer
v0
du_nonPositive'8315''185'_2098 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_nonPositive'8315''185'_2098 :: Integer -> T__'8804'__26
du_nonPositive'8315''185'_2098 Integer
v0
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
d_negative'60'positive_2106 ::
Integer ->
Integer ->
AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_negative'60'positive_2106 :: Integer -> Integer -> Any -> Any -> T__'60'__50
d_negative'60'positive_2106 Integer
v0 ~Integer
v1 ~Any
v2 ~Any
v3
= Integer -> T__'60'__50
du_negative'60'positive_2106 Integer
v0
du_negative'60'positive_2106 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_negative'60'positive_2106 :: Integer -> T__'60'__50
du_negative'60'positive_2106 Integer
v0
= (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
MAlonzo.Code.Data.Integer.Base.d_0ℤ_12)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
du_negative'8315''185'_2092) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
du_positive'8315''185'_2080)
d_neg'45'involutive_2114 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'involutive_2114 :: Integer -> T__'8801'__12
d_neg'45'involutive_2114 = Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'injective_2124 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'injective_2124 :: Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_neg'45'injective_2124 = Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_neg'45''8804''45'pos_2140 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_neg'45''8804''45'pos_2140 :: Integer -> Integer -> T__'8804'__26
d_neg'45''8804''45'pos_2140 Integer
v0 ~Integer
v1
= Integer -> T__'8804'__26
du_neg'45''8804''45'pos_2140 Integer
v0
du_neg'45''8804''45'pos_2140 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_neg'45''8804''45'pos_2140 :: Integer -> T__'8804'__26
du_neg'45''8804''45'pos_2140 Integer
v0
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
d_neg'45'mono'45''60'_2144 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_neg'45'mono'45''60'_2144 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_neg'45'mono'45''60'_2144 Integer
v0 Integer
v1 T__'60'__50
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5))
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
Integer
_ -> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2)
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
(Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
Integer
_ -> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_neg'45'cancel'45''60'_2162 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_neg'45'cancel'45''60'_2162 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_neg'45'cancel'45''60'_2162 Integer
v0 Integer
v1 T__'60'__50
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2)
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
Integer
_ -> (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
Integer
_ -> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v5
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v5 of
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v8
-> (T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> T__'60'__50
forall a b. a -> b
coe T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v8
T__'8804'__18
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'8739'n'8739''8801'0'8658'n'8801'0_2188 ::
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739'n'8739''8801'0'8658'n'8801'0_2188 :: Integer -> T__'8801'__12 -> T__'8801'__12
d_'8739'n'8739''8801'0'8658'n'8801'0_2188 = Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'8739''45'n'8739''8801''8739'n'8739'_2192 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739''45'n'8739''8801''8739'n'8739'_2192 :: Integer -> T__'8801'__12
d_'8739''45'n'8739''8801''8739'n'8739'_2192 = Integer -> T__'8801'__12
forall a. a
erased
d_0'8804'n'8658''43''8739'n'8739''8801'n_2200 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_0'8804'n'8658''43''8739'n'8739''8801'n_2200 :: Integer -> T__'8804'__26 -> T__'8801'__12
d_0'8804'n'8658''43''8739'n'8739''8801'n_2200 = Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_'43''8739'n'8739''8801'n'8658'0'8804'n_2206 ::
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''8739'n'8739''8801'n'8658'0'8804'n_2206 :: Integer -> T__'8801'__12 -> T__'8804'__26
d_'43''8739'n'8739''8801'n'8658'0'8804'n_2206 ~Integer
v0 ~T__'8801'__12
v1
= T__'8804'__26
du_'43''8739'n'8739''8801'n'8658'0'8804'n_2206
du_'43''8739'n'8739''8801'n'8658'0'8804'n_2206 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'43''8739'n'8739''8801'n'8658'0'8804'n_2206 :: T__'8804'__26
du_'43''8739'n'8739''8801'n'8658'0'8804'n_2206
= (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
d_'43''8739'n'8739''8801'n'8846''43''8739'n'8739''8801''45'n_2212 ::
Integer -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'43''8739'n'8739''8801'n'8846''43''8739'n'8739''8801''45'n_2212 :: Integer -> T__'8846'__30
d_'43''8739'n'8739''8801'n'8846''43''8739'n'8739''8801''45'n_2212 Integer
v0
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> T__'8846'__30) -> Any -> T__'8846'__30
forall a b. a -> b
coe Any -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 Any
forall a. a
erased
Any
_ -> (Any -> T__'8846'__30) -> Any -> T__'8846'__30
forall a b. a -> b
coe Any -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 Any
forall a. a
erased
d_'8739'm'8861'n'8739''8804'm'8852'n_2222 ::
Integer -> Integer -> MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_'8739'm'8861'n'8739''8804'm'8852'n_2222 :: Integer -> Integer -> T__'8804'__18
d_'8739'm'8861'n'8739''8804'm'8852'n_2222 Integer
v0 Integer
v1
= let v2 :: Bool
v2 = Integer -> Integer -> Bool
ltInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> T__'8804'__18
forall a b. a -> b
coe
(if Bool -> Bool
forall a b. a -> b
coe Bool
v2
then (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> (Any -> Any -> Any -> Any) -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v3 Any
v4 Any
v5 ->
(Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 Any
v4 Any
v5)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v6 Any
v7)
(Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> T__'8804'__18) -> Integer -> Integer -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_n'8804'm'8852'n_5132 Integer
v0 Integer
v1))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_n'8760'm'8804'n_5094 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1)))
else (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> (Any -> Any -> Any -> Any) -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v3 Any
v4 Any
v5 ->
(Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 Any
v4 Any
v5)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v6 Any
v7)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
(let v3 :: T_TotalPreorder_204
v3
= T_TotalPreorder_204
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'totalPreorder_1696 in
Any -> Any
forall a b. a -> b
coe
(let v4 :: T_MaxOperator_114
v4
= T_MaxOperator_114
MAlonzo.Code.Data.Nat.Properties.d_'8852''45'operator_3096 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v3))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v4))
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_n'8760'm'8804'n_5094 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v0))))
d_'8739'm'43'n'8739''8804''8739'm'8739''43''8739'n'8739'_2252 ::
Integer -> Integer -> MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_'8739'm'43'n'8739''8804''8739'm'8739''43''8739'n'8739'_2252 :: Integer -> Integer -> T__'8804'__18
d_'8739'm'43'n'8739''8804''8739'm'8739''43''8739'n'8739'_2252 Integer
v0 Integer
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__18
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
(Integer -> Any
forall a b. a -> b
coe Integer
v1))))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Integer -> T__'8804'__18) -> Any -> T__'8804'__18
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
Any
_ -> (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__'8804'__18
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 ->
(Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 Any
v3 Any
v4)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 Any
v5 Any
v6 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v5 Any
v6)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 Any
v5 Any
v6 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v5 Any
v6)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_m'8852'n'8804'm'43'n_3446
(Integer -> Any
forall a b. a -> b
coe Integer
v0) ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
d_'8739'm'8861'n'8739''8804'm'8852'n_2222 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
Integer
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__'8804'__18
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 ->
(Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 Any
v3 Any
v4)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 Any
v5 Any
v6 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v5 Any
v6)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 Any
v5 Any
v6 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v5 Any
v6)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Nat.Base.d__'8852'__106 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_m'8852'n'8804'm'43'n_3446
(Integer -> Any
forall a b. a -> b
coe Integer
v1) ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
d_'8739'm'8861'n'8739''8804'm'8852'n_2222 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
Any
_ -> (Integer -> T__'8804'__18) -> Any -> T__'8804'__18
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
d_'8739'm'45'n'8739''8804''8739'm'8739''43''8739'n'8739'_2290 ::
Integer -> Integer -> MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_'8739'm'45'n'8739''8804''8739'm'8739''43''8739'n'8739'_2290 :: Integer -> Integer -> T__'8804'__18
d_'8739'm'45'n'8739''8804''8739'm'8739''43''8739'n'8739'_2290 Integer
v0 Integer
v1
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__'8804'__18
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 ->
(Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 Any
v3 Any
v4)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
(\ Any
v2 Any
v3 Any
v4 Any
v5 Any
v6 ->
(T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''45'trans'691'_1868 Any
v5 Any
v6)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'isPreorder_1684)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
addInt
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
d_'8739'm'43'n'8739''8804''8739'm'8739''43''8739'n'8739'_2252
(Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
d_'9667''45'inverse_2304 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'9667''45'inverse_2304 :: Integer -> T__'8801'__12
d_'9667''45'inverse_2304 = Integer -> T__'8801'__12
forall a. a
erased
d_'9667''45'cong_2314 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'9667''45'cong_2314 :: Integer
-> Integer -> T__'8801'__12 -> T__'8801'__12 -> T__'8801'__12
d_'9667''45'cong_2314 = Integer
-> Integer -> T__'8801'__12 -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'43''9667'n'8801''43'n_2330 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''9667'n'8801''43'n_2330 :: Integer -> T__'8801'__12
d_'43''9667'n'8801''43'n_2330 = Integer -> T__'8801'__12
forall a. a
erased
d_'45''9667'n'8801''45'n_2334 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'45''9667'n'8801''45'n_2334 :: Integer -> T__'8801'__12
d_'45''9667'n'8801''45'n_2334 = Integer -> T__'8801'__12
forall a. a
erased
d_sign'45''9667'_2340 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_sign'45''9667'_2340 :: T_Sign_6 -> Integer -> T__'8801'__12
d_sign'45''9667'_2340 = T_Sign_6 -> Integer -> T__'8801'__12
forall a. a
erased
d_abs'45''9667'_2346 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_abs'45''9667'_2346 :: T_Sign_6 -> Integer -> T__'8801'__12
d_abs'45''9667'_2346 = T_Sign_6 -> Integer -> T__'8801'__12
forall a. a
erased
d_sign'8345''9667''8739'n'8739''8801'n_2354 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_sign'8345''9667''8739'n'8739''8801'n_2354 :: Integer -> T__'8801'__12
d_sign'8345''9667''8739'n'8739''8801'n_2354 = Integer -> T__'8801'__12
forall a. a
erased
d_sign'45'cong_2368 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_sign'45'cong_2368 :: T_Sign_6
-> T_Sign_6 -> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_sign'45'cong_2368 = T_Sign_6
-> T_Sign_6 -> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_abs'45'cong_2392 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_abs'45'cong_2392 :: T_Sign_6
-> T_Sign_6 -> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_abs'45'cong_2392 = T_Sign_6
-> T_Sign_6 -> Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'8739's'9667'm'8739''42''8739't'9667'n'8739''8801'm'42'n_2416 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739's'9667'm'8739''42''8739't'9667'n'8739''8801'm'42'n_2416 :: T_Sign_6 -> T_Sign_6 -> Integer -> Integer -> T__'8801'__12
d_'8739's'9667'm'8739''42''8739't'9667'n'8739''8801'm'42'n_2416
= T_Sign_6 -> T_Sign_6 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'9667''45''8801'_2430 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'9667''45''8801'_2430 :: Integer
-> Integer -> T__'8801'__12 -> T__'8801'__12 -> T__'8801'__12
d_'9667''45''8801'_2430 = Integer
-> Integer -> T__'8801'__12 -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'43''9667''45'mono'45''60'_2448 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'43''9667''45'mono'45''60'_2448 :: Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'43''9667''45'mono'45''60'_2448 Integer
v0 ~Integer
v1 T__'8804'__18
v2
= Integer -> T__'8804'__18 -> T__'60'__50
du_'43''9667''45'mono'45''60'_2448 Integer
v0 T__'8804'__18
v2
du_'43''9667''45'mono'45''60'_2448 ::
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'43''9667''45'mono'45''60'_2448 :: Integer -> T__'8804'__18 -> T__'60'__50
du_'43''9667''45'mono'45''60'_2448 Integer
v0 T__'8804'__18
v1
= (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v1)
d_'43''9667''45'cancel'45''60'_2464 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_'43''9667''45'cancel'45''60'_2464 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__18
d_'43''9667''45'cancel'45''60'_2464 Integer
v0 ~Integer
v1 T__'60'__50
v2
= Integer -> T__'60'__50 -> T__'8804'__18
du_'43''9667''45'cancel'45''60'_2464 Integer
v0 T__'60'__50
v2
du_'43''9667''45'cancel'45''60'_2464 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
du_'43''9667''45'cancel'45''60'_2464 :: Integer -> T__'60'__50 -> T__'8804'__18
du_'43''9667''45'cancel'45''60'_2464 Integer
v0 T__'60'__50
v1
= (Any -> Any -> Any) -> Any -> Any -> T__'8804'__18
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v1 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v4 -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4
T__'60'__50
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)
d_neg'9667''45'cancel'45''60'_2482 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
d_neg'9667''45'cancel'45''60'_2482 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__18
d_neg'9667''45'cancel'45''60'_2482 ~Integer
v0 Integer
v1 T__'60'__50
v2
= Integer -> T__'60'__50 -> T__'8804'__18
du_neg'9667''45'cancel'45''60'_2482 Integer
v1 T__'60'__50
v2
du_neg'9667''45'cancel'45''60'_2482 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18
du_neg'9667''45'cancel'45''60'_2482 :: Integer -> T__'60'__50 -> T__'8804'__18
du_neg'9667''45'cancel'45''60'_2482 Integer
v0 T__'60'__50
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__18
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v1)
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ -> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v1 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v4
-> (T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v4
T__'60'__50
_ -> T__'8804'__18
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'45''9667''60''43''9667'_2498 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'45''9667''60''43''9667'_2498 :: Integer -> Integer -> T__'60'__50
d_'45''9667''60''43''9667'_2498 ~Integer
v0 Integer
v1
= Integer -> T__'60'__50
du_'45''9667''60''43''9667'_2498 Integer
v1
du_'45''9667''60''43''9667'_2498 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'45''9667''60''43''9667'_2498 :: Integer -> T__'60'__50
du_'45''9667''60''43''9667'_2498 Integer
v0
= (Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (Integer -> Any
forall a b. a -> b
coe Integer
v0) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
d_'43''9667''8814''45''9667'_2510 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'43''9667''8814''45''9667'_2510 :: Integer -> Integer -> T__'60'__50 -> T_'8869'_4
d_'43''9667''8814''45''9667'_2510 = Integer -> Integer -> T__'60'__50 -> T_'8869'_4
forall a. a
erased
d_n'8854'n'8801'0_2516 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_n'8854'n'8801'0_2516 :: Integer -> T__'8801'__12
d_n'8854'n'8801'0_2516 = Integer -> T__'8801'__12
forall a. a
erased
d_'91'1'43'm'93''8854''91'1'43'n'93''8801'm'8854'n_2532 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'91'1'43'm'93''8854''91'1'43'n'93''8801'm'8854'n_2532 :: Integer -> Integer -> T__'8801'__12
d_'91'1'43'm'93''8854''91'1'43'n'93''8801'm'8854'n_2532 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8854''45'swap_2554 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8854''45'swap_2554 :: Integer -> Integer -> T__'8801'__12
d_'8854''45'swap_2554 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8854''45''8805'_2572 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8854''45''8805'_2572 :: Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
d_'8854''45''8805'_2572 = Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
forall a. a
erased
d_'8854''45''8804'_2604 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8854''45''8804'_2604 :: Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
d_'8854''45''8804'_2604 = Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
forall a. a
erased
d_'8854''45''60'_2644 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8854''45''60'_2644 :: Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
d_'8854''45''60'_2644 = Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
forall a. a
erased
d_'8854''45''8816'_2650 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8854''45''8816'_2650 :: Integer
-> Integer -> (T__'8804'__18 -> T_'8869'_4) -> T__'8801'__12
d_'8854''45''8816'_2650 = Integer
-> Integer -> (T__'8804'__18 -> T_'8869'_4) -> T__'8801'__12
forall a. a
erased
d_'8739''8854''8739''45''60'_2656 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739''8854''8739''45''60'_2656 :: Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
d_'8739''8854''8739''45''60'_2656 = Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
forall a. a
erased
d_'8739''8854''8739''45''8816'_2672 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739''8854''8739''45''8816'_2672 :: Integer
-> Integer -> (T__'8804'__18 -> T_'8869'_4) -> T__'8801'__12
d_'8739''8854''8739''45''8816'_2672 = Integer
-> Integer -> (T__'8804'__18 -> T_'8869'_4) -> T__'8801'__12
forall a. a
erased
d_'45'm'43'n'8801'n'8854'm_2678 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'45'm'43'n'8801'n'8854'm_2678 :: Integer -> Integer -> T__'8801'__12
d_'45'm'43'n'8801'n'8854'm_2678 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_m'45'n'8801'm'8854'n_2690 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'45'n'8801'm'8854'n_2690 :: Integer -> Integer -> T__'8801'__12
d_m'45'n'8801'm'8854'n_2690 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'45''91'n'8854'm'93''8801''45'm'43'n_2704 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'45''91'n'8854'm'93''8801''45'm'43'n_2704 :: Integer -> Integer -> T__'8801'__12
d_'45''91'n'8854'm'93''8801''45'm'43'n_2704 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8739'm'8854'n'8739''8801''8739'n'8854'm'8739'_2738 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739'm'8854'n'8739''8801''8739'n'8854'm'8739'_2738 :: Integer -> Integer -> T__'8801'__12
d_'8739'm'8854'n'8739''8801''8739'n'8854'm'8739'_2738 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'cancel'737''45''8854'_2754 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'cancel'737''45''8854'_2754 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'43''45'cancel'737''45''8854'_2754 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_m'8854'n'8804'm_2774 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8854'n'8804'm_2774 :: Integer -> Integer -> T__'8804'__26
d_m'8854'n'8804'm_2774 Integer
v0 Integer
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Integer -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> T__'8804'__26
d_'8804''45'refl_1584
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)))
Integer
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
Integer
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
(Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v7 Any
v8)
(Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_n'8804'1'43'n_1724
(Integer -> Integer
forall a b. a -> b
coe Integer
v3))))
((Integer -> Integer -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'8804'__26
d_m'8854'n'8804'm_2774 (Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))))
d_m'8854'n'60'1'43'm_2792 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_m'8854'n'60'1'43'm_2792 :: Integer -> Integer -> T__'60'__50
d_m'8854'n'60'1'43'm_2792 Integer
v0 Integer
v1
= (T__'8804'__26 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844
((Integer -> Integer -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'8804'__26
d_m'8854'n'8804'm_2774 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_m'60'n'43'm_2498 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))))
d_m'8854'1'43'n'60'm_2802 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_m'8854'1'43'n'60'm_2802 :: Integer -> Integer -> T__'60'__50
d_m'8854'1'43'n'60'm_2802 Integer
v0 Integer
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
Integer
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'60'__50
forall a b. a -> b
coe
((T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v3 Any
v4 Any
v6 Any
v7)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_m'8854'n'60'1'43'm_2792 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
d_'45'1'43'm'60'n'8854'm_2818 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'45'1'43'm'60'n'8854'm_2818 :: Integer -> Integer -> T__'60'__50
d_'45'1'43'm'60'n'8854'm_2818 Integer
v0 Integer
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
Integer
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'60'__50
forall a b. a -> b
coe
(case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
(Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
Integer
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v4 Any
v5 Any
v7 Any
v8)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v4 Any
v5 Any
v7 Any
v8)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_'45'1'43'm'60'n'8854'm_2818 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v3)))
((T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
(Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
(Integer -> Integer
forall a b. a -> b
coe Integer
v0))))))
d_'45''91'1'43'm'93''8804'n'8854'm'43'1_2836 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'45''91'1'43'm'93''8804'n'8854'm'43'1_2836 :: Integer -> Integer -> T__'8804'__26
d_'45''91'1'43'm'93''8804'n'8854'm'43'1_2836 Integer
v0 Integer
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Integer -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> T__'8804'__26
d_'8804''45'refl_1584 ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
Integer
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> T__'60'__50 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724 ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_'45'1'43'm'60'n'8854'm_2818 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))))
d_'45'1'43'm'8804'n'8854'm_2852 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'45'1'43'm'8804'n'8854'm_2852 :: Integer -> Integer -> T__'8804'__26
d_'45'1'43'm'8804'n'8854'm_2852 Integer
v0 Integer
v1
= (Integer -> Integer -> T__'60'__50 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724 ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_'45'1'43'm'60'n'8854'm_2818 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
d_0'8854'm'8804''43'_2862 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_0'8854'm'8804''43'_2862 :: Integer -> Integer -> T__'8804'__26
d_0'8854'm'8804''43'_2862 Integer
v0 ~Integer
v1 = Integer -> T__'8804'__26
du_0'8854'm'8804''43'_2862 Integer
v0
du_0'8854'm'8804''43'_2862 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_0'8854'm'8804''43'_2862 :: Integer -> T__'8804'__26
du_0'8854'm'8804''43'_2862 Integer
v0
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
d_sign'45''8854''45''60'_2870 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_sign'45''8854''45''60'_2870 :: Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
d_sign'45''8854''45''60'_2870 = Integer -> Integer -> T__'8804'__18 -> T__'8801'__12
forall a. a
erased
d_sign'45''8854''45''8816'_2886 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_sign'45''8854''45''8816'_2886 :: Integer
-> Integer -> (T__'8804'__18 -> T_'8869'_4) -> T__'8801'__12
d_sign'45''8854''45''8816'_2886 = Integer
-> Integer -> (T__'8804'__18 -> T_'8869'_4) -> T__'8801'__12
forall a. a
erased
d_'8854''45'mono'691''45''8805''45''8804'_2892 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 :: Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 Integer
v0 Integer
v1 Integer
v2 T__'8804'__18
v3
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> (Integer -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe Integer -> T__'8804'__26
du_0'8854'm'8804''43'_2862 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v6
T__'8804'__18
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
Integer
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v3)
((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__26
d_'8804''45'refl_1584
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v5 Any
v6 -> Any
v5) (Integer
0 :: Integer) (Integer
0 :: Integer)))
Integer
_ -> let v5 :: Integer
v5 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
(case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v7 Any
v8 -> Any
v7) Integer
v1 (Integer
0 :: Integer))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v7 Any
v8 -> Any
v8)
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0)) Integer
v1
(Integer
0 :: Integer))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v7 Any
v8 Any
v9 Any
v10 Any
v11 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v10 Any
v11)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v5))
(Integer -> Any
forall a b. a -> b
coe Integer
v0)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v7 Any
v8 -> Any
v8)
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0)) Integer
v1
(Integer
0 :: Integer))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> T__'60'__50 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v5))
(Integer -> Any
forall a b. a -> b
coe Integer
v0) ((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_m'8854'n'60'1'43'm_2792 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v5))))
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v8
-> let v9 :: Integer
v9 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v2) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v10 Any
v11 -> Any
v10) Integer
v1 Integer
v2)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v10 Any
v11 -> Any
v11)
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0)) Integer
v1
Integer
v2)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v10 Any
v11 Any
v12 Any
v13 Any
v14 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v13 Any
v14)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v5))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v9))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v10 Any
v11 -> Any
v11)
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
Integer
v1 Integer
v2)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v5) (Integer -> Any
forall a b. a -> b
coe Integer
v9) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v8))))
T__'8804'__18
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
d_'8854''45'mono'737''45''8804'_2924 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8854''45'mono'737''45''8804'_2924 :: Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'737''45''8804'_2924 Integer
v0 Integer
v1 Integer
v2 T__'8804'__18
v3
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v3
Integer
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Integer
forall a b. a -> b
coe Integer
v2 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v3)
((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__26
d_'8804''45'refl_1584
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Any -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(\ Any
v5 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Any -> Integer
forall a b. a -> b
coe Any
v5) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v5 Any
v6 -> Any
v5) (Integer
0 :: Integer) (Integer
0 :: Integer)))
Integer
_ -> let v5 :: Integer
v5 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v2) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
(case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Any -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(\ Any
v7 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v7) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v7 Any
v8 -> Any
v7) (Integer
0 :: Integer) Integer
v2)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v7 Any
v8 -> Any
v8)
(\ Any
v7 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v7) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(Integer
0 :: Integer) Integer
v2)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v7 Any
v8 Any
v9 Any
v10 Any
v11 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v10 Any
v11)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v4))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v7 Any
v8 -> Any
v8)
(\ Any
v7 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v7) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(Integer
0 :: Integer) Integer
v2)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v7 Any
v8 Any
v9 Any
v10 Any
v11 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v10 Any
v11)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v4))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v5)
(Integer -> Any
forall a b. a -> b
coe Integer
v4))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v7 Any
v8 -> Any
v8)
(\ Any
v7 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v7) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(Integer
0 :: Integer) Integer
v2)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'737''45''8804'_2924 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v5)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v4)
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_n'8804'1'43'n_1724
(Integer -> Any
forall a b. a -> b
coe Integer
v4))))
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v8
-> let v9 :: Integer
v9 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Any -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(\ Any
v10 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v10) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v10 Any
v11 -> Any
v10) Integer
v1 Integer
v2)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v10 Any
v11 -> Any
v11)
(\ Any
v10 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v10) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
Integer
v1 Integer
v2)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v10 Any
v11 Any
v12 Any
v13 Any
v14 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v13 Any
v14)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v9)
(Integer -> Any
forall a b. a -> b
coe Integer
v4))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v5)
(Integer -> Any
forall a b. a -> b
coe Integer
v4))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v10 Any
v11 -> Any
v11)
(\ Any
v10 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
(Any -> Integer
forall a b. a -> b
coe Any
v10) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
Integer
v1 Integer
v2)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'737''45''8804'_2924 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v9)
(Integer -> Any
forall a b. a -> b
coe Integer
v5) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v8))))
T__'8804'__18
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
d_'8854''45'mono'691''45''62''45''60'_2954 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'8854''45'mono'691''45''62''45''60'_2954 :: Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'8854''45'mono'691''45''62''45''60'_2954 Integer
v0 Integer
v1 Integer
v2 T__'8804'__18
v3
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v6 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v9
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v9)
T__'8804'__18
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__18
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
Integer
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'60'__50
forall a b. a -> b
coe
(let v5 :: Integer
v5 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
(case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v8
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v8 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> (T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v10 Any
v11 Any
v12 Any
v13 Any
v14 ->
(Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v10 Any
v11 Any
v13 Any
v14)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v10 Any
v11 Any
v12 Any
v13 Any
v14 ->
(T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v13 Any
v14)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v5))
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_m'8854'n'60'1'43'm_2792 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v5)))
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v11
-> let v12 :: Integer
v12 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v2) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v13 Any
v14 Any
v15 Any
v16 Any
v17 ->
(Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v13 Any
v14 Any
v16 Any
v17)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v13 Any
v14 Any
v15 Any
v16 Any
v17 ->
(T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v16 Any
v17)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
(Integer -> Any
forall a b. a -> b
coe Integer
v12))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v2))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'8854''45'mono'691''45''62''45''60'_2954 (Integer -> Any
forall a b. a -> b
coe Integer
v4)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))) (Integer -> Any
forall a b. a -> b
coe Integer
v12)
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v11))))
T__'8804'__18
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__18
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
d_'8854''45'mono'737''45''60'_2982 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Nat.Base.T__'8804'__18 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'8854''45'mono'737''45''60'_2982 :: Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'8854''45'mono'737''45''60'_2982 Integer
v0 Integer
v1 Integer
v2 T__'8804'__18
v3
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> T__'60'__50
forall a b. a -> b
coe T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v3
Integer
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'60'__50
forall a b. a -> b
coe
(case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v7
-> let v8 :: Integer
v8 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v2) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
(case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v7 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> (T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v10 Any
v11 Any
v12 Any
v13 Any
v14 ->
(Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v10 Any
v11 Any
v13 Any
v14)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v10 Any
v11 Any
v12 Any
v13 Any
v14 ->
(T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v13 Any
v14)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v8)
(Integer -> Any
forall a b. a -> b
coe Integer
v4))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_'45'1'43'm'60'n'8854'm_2818 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v8)))
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v11
-> let v12 :: Integer
v12 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v13 Any
v14 Any
v15 Any
v16 Any
v17 ->
(Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v13 Any
v14 Any
v16 Any
v17)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v13 Any
v14 Any
v15 Any
v16 Any
v17 ->
(T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v16 Any
v17)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v12)
(Integer -> Any
forall a b. a -> b
coe Integer
v4))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))) (Integer -> Any
forall a b. a -> b
coe Integer
v4))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'8854''45'mono'737''45''60'_2982 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v12)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v11))))
T__'8804'__18
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)
T__'8804'__18
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)
d_'43''45'comm_3006 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'comm_3006 :: Integer -> Integer -> T__'8801'__12
d_'43''45'comm_3006 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'identity'737'_3016 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'identity'737'_3016 :: Integer -> T__'8801'__12
d_'43''45'identity'737'_3016 = Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'identity'691'_3018 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'identity'691'_3018 :: Integer -> T__'8801'__12
d_'43''45'identity'691'_3018 = Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'identity_3020 :: MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'43''45'identity_3020 :: T_Σ_14
d_'43''45'identity_3020
= (Any -> Any -> T_Σ_14) -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 Any
forall a. a
erased Any
forall a. a
erased
d_distrib'737''45''8854''45''43''45'pos_3028 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'737''45''8854''45''43''45'pos_3028 :: Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'737''45''8854''45''43''45'pos_3028 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_distrib'737''45''8854''45''43''45'neg_3048 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'737''45''8854''45''43''45'neg_3048 :: Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'737''45''8854''45''43''45'neg_3048 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_distrib'691''45''8854''45''43''45'pos_3068 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'691''45''8854''45''43''45'pos_3068 :: Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'691''45''8854''45''43''45'pos_3068 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_distrib'691''45''8854''45''43''45'neg_3088 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'691''45''8854''45''43''45'neg_3088 :: Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'691''45''8854''45''43''45'neg_3088 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'assoc_3102 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'assoc_3102 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'43''45'assoc_3102 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'inverse'737'_3282 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'inverse'737'_3282 :: Integer -> T__'8801'__12
d_'43''45'inverse'737'_3282 = Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'inverse'691'_3288 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'inverse'691'_3288 :: Integer -> T__'8801'__12
d_'43''45'inverse'691'_3288 = Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'inverse_3290 :: MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'43''45'inverse_3290 :: T_Σ_14
d_'43''45'inverse_3290
= (Any -> Any -> T_Σ_14) -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 Any
forall a. a
erased Any
forall a. a
erased
d_'43''45'isMagma_3292 ::
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'43''45'isMagma_3292 :: T_IsMagma_86
d_'43''45'isMagma_3292
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any -> Any) -> T_IsMagma_86)
-> Any -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any -> Any) -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.C_IsMagma'46'constructor_553
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
Any
forall a. a
erased
d_'43''45'isSemigroup_3294 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'43''45'isSemigroup_3294 :: T_IsSemigroup_194
d_'43''45'isSemigroup_3294
= (T_IsMagma_86 -> (Any -> Any -> Any -> Any) -> T_IsSemigroup_194)
-> Any -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMagma_86 -> (Any -> Any -> Any -> Any) -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.C_IsSemigroup'46'constructor_4001
(T_IsMagma_86 -> Any
forall a b. a -> b
coe T_IsMagma_86
d_'43''45'isMagma_3292) Any
forall a. a
erased
d_'43''45'isCommutativeSemigroup_3296 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
d_'43''45'isCommutativeSemigroup_3296 :: T_IsCommutativeSemigroup_270
d_'43''45'isCommutativeSemigroup_3296
= (T_IsSemigroup_194
-> (Any -> Any -> Any) -> T_IsCommutativeSemigroup_270)
-> Any -> Any -> T_IsCommutativeSemigroup_270
forall a b. a -> b
coe
T_IsSemigroup_194
-> (Any -> Any -> Any) -> T_IsCommutativeSemigroup_270
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemigroup'46'constructor_5673
(T_IsSemigroup_194 -> Any
forall a b. a -> b
coe T_IsSemigroup_194
d_'43''45'isSemigroup_3294) Any
forall a. a
erased
d_'43''45'0'45'isMonoid_3298 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'43''45'0'45'isMonoid_3298 :: T_IsMonoid_358
d_'43''45'0'45'isMonoid_3298
= (T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358)
-> Any -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_7687
(T_IsSemigroup_194 -> Any
forall a b. a -> b
coe T_IsSemigroup_194
d_'43''45'isSemigroup_3294) (T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'43''45'identity_3020)
d_'43''45'0'45'isCommutativeMonoid_3300 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'43''45'0'45'isCommutativeMonoid_3300 :: T_IsCommutativeMonoid_406
d_'43''45'0'45'isCommutativeMonoid_3300
= (T_IsMonoid_358
-> (Any -> Any -> Any) -> T_IsCommutativeMonoid_406)
-> Any -> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsMonoid_358 -> (Any -> Any -> Any) -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.C_IsCommutativeMonoid'46'constructor_9361
(T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
d_'43''45'0'45'isMonoid_3298) Any
forall a. a
erased
d_'43''45'0'45'isGroup_3302 ::
MAlonzo.Code.Algebra.Structures.T_IsGroup_580
d_'43''45'0'45'isGroup_3302 :: T_IsGroup_580
d_'43''45'0'45'isGroup_3302
= (T_IsMonoid_358
-> T_Σ_14 -> (Any -> Any -> Any -> Any) -> T_IsGroup_580)
-> Any -> Any -> Any -> T_IsGroup_580
forall a b. a -> b
coe
T_IsMonoid_358
-> T_Σ_14 -> (Any -> Any -> Any -> Any) -> T_IsGroup_580
MAlonzo.Code.Algebra.Structures.C_IsGroup'46'constructor_12945
(T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
d_'43''45'0'45'isMonoid_3298) (T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'43''45'inverse_3290)
Any
forall a. a
erased
d_'43''45'isAbelianGroup_3304 ::
MAlonzo.Code.Algebra.Structures.T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_3304 :: T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_3304
= (T_IsGroup_580 -> (Any -> Any -> Any) -> T_IsAbelianGroup_662)
-> Any -> Any -> T_IsAbelianGroup_662
forall a b. a -> b
coe
T_IsGroup_580 -> (Any -> Any -> Any) -> T_IsAbelianGroup_662
MAlonzo.Code.Algebra.Structures.C_IsAbelianGroup'46'constructor_17421
(T_IsGroup_580 -> Any
forall a b. a -> b
coe T_IsGroup_580
d_'43''45'0'45'isGroup_3302) Any
forall a. a
erased
d_'43''45'magma_3306 :: MAlonzo.Code.Algebra.Bundles.T_Magma_36
d_'43''45'magma_3306 :: T_Magma_36
d_'43''45'magma_3306
= ((Any -> Any -> Any) -> T_IsMagma_86 -> T_Magma_36)
-> (Integer -> Integer -> Integer) -> T_IsMagma_86 -> T_Magma_36
forall a b. a -> b
coe
(Any -> Any -> Any) -> T_IsMagma_86 -> T_Magma_36
MAlonzo.Code.Algebra.Bundles.C_Magma'46'constructor_581
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 T_IsMagma_86
d_'43''45'isMagma_3292
d_'43''45'semigroup_3308 ::
MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
d_'43''45'semigroup_3308 :: T_Semigroup_206
d_'43''45'semigroup_3308
= ((Any -> Any -> Any) -> T_IsSemigroup_194 -> T_Semigroup_206)
-> (Integer -> Integer -> Integer)
-> T_IsSemigroup_194
-> T_Semigroup_206
forall a b. a -> b
coe
(Any -> Any -> Any) -> T_IsSemigroup_194 -> T_Semigroup_206
MAlonzo.Code.Algebra.Bundles.C_Semigroup'46'constructor_3669
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
T_IsSemigroup_194
d_'43''45'isSemigroup_3294
d_'43''45'commutativeSemigroup_3310 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
d_'43''45'commutativeSemigroup_3310 :: T_CommutativeSemigroup_332
d_'43''45'commutativeSemigroup_3310
= ((Any -> Any -> Any)
-> T_IsCommutativeSemigroup_270 -> T_CommutativeSemigroup_332)
-> (Integer -> Integer -> Integer)
-> T_IsCommutativeSemigroup_270
-> T_CommutativeSemigroup_332
forall a b. a -> b
coe
(Any -> Any -> Any)
-> T_IsCommutativeSemigroup_270 -> T_CommutativeSemigroup_332
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemigroup'46'constructor_5887
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
T_IsCommutativeSemigroup_270
d_'43''45'isCommutativeSemigroup_3296
d_'43''45'0'45'monoid_3312 ::
MAlonzo.Code.Algebra.Bundles.T_Monoid_506
d_'43''45'0'45'monoid_3312 :: T_Monoid_506
d_'43''45'0'45'monoid_3312
= ((Any -> Any -> Any) -> Any -> T_IsMonoid_358 -> T_Monoid_506)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsMonoid_358
-> T_Monoid_506
forall a b. a -> b
coe
(Any -> Any -> Any) -> Any -> T_IsMonoid_358 -> T_Monoid_506
MAlonzo.Code.Algebra.Bundles.C_Monoid'46'constructor_8851
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer
0 :: Integer)
T_IsMonoid_358
d_'43''45'0'45'isMonoid_3298
d_'43''45'0'45'commutativeMonoid_3314 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeMonoid_582
d_'43''45'0'45'commutativeMonoid_3314 :: T_CommutativeMonoid_582
d_'43''45'0'45'commutativeMonoid_3314
= ((Any -> Any -> Any)
-> Any -> T_IsCommutativeMonoid_406 -> T_CommutativeMonoid_582)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeMonoid_406
-> T_CommutativeMonoid_582
forall a b. a -> b
coe
(Any -> Any -> Any)
-> Any -> T_IsCommutativeMonoid_406 -> T_CommutativeMonoid_582
MAlonzo.Code.Algebra.Bundles.C_CommutativeMonoid'46'constructor_10343
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer
0 :: Integer)
T_IsCommutativeMonoid_406
d_'43''45'0'45'isCommutativeMonoid_3300
d_'43''45'0'45'abelianGroup_3316 ::
MAlonzo.Code.Algebra.Bundles.T_AbelianGroup_990
d_'43''45'0'45'abelianGroup_3316 :: T_AbelianGroup_990
d_'43''45'0'45'abelianGroup_3316
= ((Any -> Any -> Any)
-> Any
-> (Any -> Any)
-> T_IsAbelianGroup_662
-> T_AbelianGroup_990)
-> (Integer -> Integer -> Integer)
-> Integer
-> (Integer -> Integer)
-> T_IsAbelianGroup_662
-> T_AbelianGroup_990
forall a b. a -> b
coe
(Any -> Any -> Any)
-> Any
-> (Any -> Any)
-> T_IsAbelianGroup_662
-> T_AbelianGroup_990
MAlonzo.Code.Algebra.Bundles.C_AbelianGroup'46'constructor_16529
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer
0 :: Integer)
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218
T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_3304
d_pos'45''43''45'commute_3318 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_pos'45''43''45'commute_3318 :: Integer -> Integer -> T__'8801'__12
d_pos'45''43''45'commute_3318 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'distrib'45''43'_3330 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'distrib'45''43'_3330 :: Integer -> Integer -> T__'8801'__12
d_neg'45'distrib'45''43'_3330 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'9667''45'distrib'45''43'_3360 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'9667''45'distrib'45''43'_3360 :: T_Sign_6 -> Integer -> Integer -> T__'8801'__12
d_'9667''45'distrib'45''43'_3360 = T_Sign_6 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'pos'45'mono'691''45''8804'_3380 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'pos'45'mono'691''45''8804'_3380 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'pos'45'mono'691''45''8804'_3380 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v3 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v6
-> (Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6)
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586
((Integer -> Integer -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26
d_m'8854'n'8804'm_2774 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_m'8804'm'43'n_2316 (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v6
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> Integer -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'43''45'mono'691''45''8804'_2422
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6))
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'43''45'neg'45'mono'691''45''8804'_3396 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'neg'45'mono'691''45''8804'_3396 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'neg'45'mono'691''45''8804'_3396 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v3 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v6
-> let v7 :: Integer
v7 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((Integer -> Integer -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'43''45'mono'691''45''8804'_2422
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v7) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6)))
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_m'8804'm'43'n_2316
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26
d_'45'1'43'm'8804'n'8854'm_2852
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v6
-> (Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'737''45''8804'_2924
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6)
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'43''45'mono'691''45''8804'_3412 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 Integer
v0 Integer
v1 Integer
v2
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'pos'45'mono'691''45''8804'_3380 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2)
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'neg'45'mono'691''45''8804'_3396 (Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2))
d_'43''45'mono'737''45''8804'_3422 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
d_'43''45'mono'45''8804'_3440 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'45''8804'_3440 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'43''45'mono'45''8804'_3440 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v4 T__'8804'__26
v5
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v9 Any
v10)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v9 Any
v10)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3)))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v5))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v4)))
d_'8804''45'steps_3464 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'steps_3464 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8804''45'steps_3464 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'43''45'mono'45''8804'_3440 (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)
d_m'8804'm'43'n_3476 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8804'm'43'n_3476 :: Integer -> Integer -> T__'8804'__26
d_m'8804'm'43'n_3476 Integer
v0 Integer
v1
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v2 Any
v3 Any
v4 Any
v5 Any
v6 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v5 Any
v6)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 Integer
v0 (Integer
0 :: Integer) Integer
v1
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))))
d_n'8804'm'43'n_3490 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_n'8804'm'43'n_3490 :: Integer -> Integer -> T__'8804'__26
d_n'8804'm'43'n_3490 Integer
v0 Integer
v1
= (Integer -> Integer -> T__'8804'__26)
-> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> T__'8804'__26
d_m'8804'm'43'n_3476 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
d_'43''45'mono'691''45''60'_3502 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'43''45'mono'691''45''60'_3502 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'691''45''60'_3502 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v3 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v6
-> (Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'8854''45'mono'691''45''62''45''60'_2954 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6)
T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
-> let v6 :: Integer
v6 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> T__'60'__50
forall a b. a -> b
coe
((T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe
T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_m'8854'1'43'n'60'm_2802 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v6))
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_m'8804'm'43'n_2316 (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v6
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'43''45'mono'691''45''60'_2464
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6))
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
Any
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'60'__50
forall a b. a -> b
coe
(case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v3 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'43''45'mono'691''45''60'_2464
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7))
T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
-> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe
T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858
((T__'8804'__18 -> T__'60'__50) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_m'8804'm'43'n_2316
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26
d_'45''91'1'43'm'93''8804'n'8854'm'43'1_2836 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v7
-> (Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'60'__50
d_'8854''45'mono'737''45''60'_2982
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v7)
T__'60'__50
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)
d_'43''45'mono'737''45''60'_3530 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'43''45'mono'737''45''60'_3530 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'737''45''60'_3530 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= (Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'691''45''60'_3502 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3)
d_'43''45'mono'45''60'_3548 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'43''45'mono'45''60'_3548 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'60'__50
-> T__'60'__50
-> T__'60'__50
d_'43''45'mono'45''60'_3548 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'60'__50
v4 T__'60'__50
v5
= (T__IsRelatedTo__70 -> Any) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v6 Any
v7 Any
v9 Any
v10)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v9 Any
v10)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v6 Any
v7 Any
v9 Any
v10)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v9 Any
v10)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3)))
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'691''45''60'_3502 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v5)))
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'737''45''60'_3530 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v4)))
d_'43''45'mono'45''8804''45''60'_3566 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'43''45'mono'45''8804''45''60'_3566 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'60'__50
-> T__'60'__50
d_'43''45'mono'45''8804''45''60'_3566 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v4 T__'60'__50
v5
= (T__'8804'__26 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v4))
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'691''45''60'_3502 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v5))
d_'43''45'mono'45''60''45''8804'_3578 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'43''45'mono'45''60''45''8804'_3578 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'60'__50
-> T__'8804'__26
-> T__'60'__50
d_'43''45'mono'45''60''45''8804'_3578 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'60'__50
v4 T__'8804'__26
v5
= (T__'60'__50 -> T__'8804'__26 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'43''45'mono'737''45''60'_3530 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v4))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v5)
d_neg'45'minus'45'pos_3594 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'minus'45'pos_3594 :: Integer -> Integer -> T__'8801'__12
d_neg'45'minus'45'pos_3594 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'minus'45'telescope_3610 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'minus'45'telescope_3610 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'43''45'minus'45'telescope_3610 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'91''43'm'93''45''91''43'n'93''8801'm'8854'n_3632 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'91''43'm'93''45''91''43'n'93''8801'm'8854'n_3632 :: Integer -> Integer -> T__'8801'__12
d_'91''43'm'93''45''91''43'n'93''8801'm'8854'n_3632 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8739'm'45'n'8739''8801''8739'n'45'm'8739'_3646 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739'm'45'n'8739''8801''8739'n'45'm'8739'_3646 :: Integer -> Integer -> T__'8801'__12
d_'8739'm'45'n'8739''8801''8739'n'45'm'8739'_3646 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_m'8801'n'8658'm'45'n'8801'0_3680 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'8801'n'8658'm'45'n'8801'0_3680 :: Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_m'8801'n'8658'm'45'n'8801'0_3680 = Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_m'45'n'8801'0'8658'm'8801'n_3688 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'45'n'8801'0'8658'm'8801'n_3688 :: Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
d_m'45'n'8801'0'8658'm'8801'n_3688 = Integer -> Integer -> T__'8801'__12 -> T__'8801'__12
forall a. a
erased
d_'8804''45'steps'45'neg_3708 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'steps'45'neg_3708 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8804''45'steps'45'neg_3708 Integer
v0 ~Integer
v1 Integer
v2 T__'8804'__26
v3
= Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'steps'45'neg_3708 Integer
v0 Integer
v2 T__'8804'__26
v3
du_'8804''45'steps'45'neg_3708 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8804''45'steps'45'neg_3708 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'steps'45'neg_3708 Integer
v0 Integer
v1 T__'8804'__26
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2
Integer
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586
((Integer -> Integer -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'8804'__26
d_m'8854'n'8804'm_2774 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)
Any
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> Any
forall a b. a -> b
coe
((T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''45'trans_1642
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_m'8804'm'43'n_2316 (Integer -> Any
forall a b. a -> b
coe Integer
v4))
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_n'8804'1'43'n_1724
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v3)))))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)))
d_neg'45'mono'45''8804'_3730 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_neg'45'mono'45''8804'_3730 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_neg'45'mono'45''8804'_3730 ~Integer
v0 Integer
v1 T__'8804'__26
v2
= Integer -> T__'8804'__26 -> T__'8804'__26
du_neg'45'mono'45''8804'_3730 Integer
v1 T__'8804'__26
v2
du_neg'45'mono'45''8804'_3730 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_neg'45'mono'45''8804'_3730 :: Integer -> T__'8804'__26 -> T__'8804'__26
du_neg'45'mono'45''8804'_3730 Integer
v0 T__'8804'__26
v1
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v1 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v4
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v4)
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> (Integer -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe Integer -> T__'8804'__26
du_neg'45''8804''45'pos_2140 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v4
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v4 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> (Integer -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe Integer -> T__'8804'__26
du_neg'45''8804''45'pos_2140 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v7
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v7
T__'8804'__18
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_neg'45'cancel'45''8804'_3740 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_neg'45'cancel'45''8804'_3740 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_neg'45'cancel'45''8804'_3740 Integer
v0 Integer
v1 T__'8804'__26
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
Integer
_ -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
Integer
_ -> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v5 of
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v8
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v8
T__'8804'__18
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_m'45'n'8804'm_3768 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'45'n'8804'm_3768 :: Integer -> Integer -> T__'8804'__26
d_m'45'n'8804'm_3768 Integer
v0 Integer
v1
= (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'steps'45'neg_3708 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
d_'8804''45'refl_1584 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
d_m'8804'n'8658'm'45'n'8804'0_3778 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8804'n'8658'm'45'n'8804'0_3778 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_m'8804'n'8658'm'45'n'8804'0_3778 Integer
v0 Integer
v1 T__'8804'__26
v2
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v5
-> let v6 :: Integer
v6 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(let v7 :: Integer
v7 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v8 Any
v9 Any
v10 Any
v11 Any
v12 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v11 Any
v12)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v7) (Integer -> Any
forall a b. a -> b
coe Integer
v6))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v7) (Integer -> Any
forall a b. a -> b
coe Integer
v7))
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 (Integer -> Any
forall a b. a -> b
coe Integer
v7) (Integer -> Any
forall a b. a -> b
coe Integer
v6)
(Integer -> Any
forall a b. a -> b
coe Integer
v7) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5)))))
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'steps'45'neg_3708 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v5 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v8
-> let v9 :: Integer
v9 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(let v10 :: Integer
v10 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> Any
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v11 Any
v12 Any
v13 Any
v14 Any
v15 ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v14 Any
v15)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v9) (Integer -> Any
forall a b. a -> b
coe Integer
v10))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe Integer
v9) (Integer -> Any
forall a b. a -> b
coe Integer
v9))
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)))
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 (Integer -> Any
forall a b. a -> b
coe Integer
v9) (Integer -> Any
forall a b. a -> b
coe Integer
v10)
(Integer -> Any
forall a b. a -> b
coe Integer
v9) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v8)))))
T__'8804'__18
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_m'45'n'8804'0'8658'm'8804'n_3808 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'45'n'8804'0'8658'm'8804'n_3808 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_m'45'n'8804'0'8658'm'8804'n_3808 Integer
v0 Integer
v1 T__'8804'__26
v2
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)))
d_m'8804'n'8658'0'8804'n'45'm_3824 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8804'n'8658'0'8804'n'45'm_3824 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_m'8804'n'8658'0'8804'n'45'm_3824 Integer
v0 Integer
v1 T__'8804'__26
v2
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)))
d_0'8804'n'45'm'8658'm'8804'n_3840 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_0'8804'n'45'm'8658'm'8804'n_3840 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_0'8804'n'45'm'8658'm'8804'n_3840 Integer
v0 Integer
v1 T__'8804'__26
v2
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v6 Any
v7)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
(Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
(Integer -> Any
forall a b. a -> b
coe Integer
v0))
(Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'45'__260 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)))
d_'8804''45'step_3856 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'step_3856 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8804''45'step_3856 Integer
v0 Integer
v1
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8804''45'steps_3464 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))
d_n'8804'1'43'n_3860 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_n'8804'1'43'n_3860 :: Integer -> T__'8804'__26
d_n'8804'1'43'n_3860 Integer
v0
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8804''45'steps_3464 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))
((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
d_'8804''45'refl_1584 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
d_suc'45''43'_3868 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_suc'45''43'_3868 :: Integer -> Integer -> T__'8801'__12
d_suc'45''43'_3868 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_n'8802'1'43'n_3880 ::
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_n'8802'1'43'n_3880 :: Integer -> T__'8801'__12 -> T_'8869'_4
d_n'8802'1'43'n_3880 = Integer -> T__'8801'__12 -> T_'8869'_4
forall a. a
erased
d_1'45''91'1'43'n'93''8801''45'n_3886 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_1'45''91'1'43'n'93''8801''45'n_3886 :: Integer -> T__'8801'__12
d_1'45''91'1'43'n'93''8801''45'n_3886 = Integer -> T__'8801'__12
forall a. a
erased
d_suc'45'mono_3890 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_suc'45'mono_3890 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_suc'45'mono_3890 Integer
v0 Integer
v1 T__'8804'__26
v2
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v5
-> (Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> let v5 :: Integer
v5 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (\ Any
v6 Any
v7 -> Any
v6) Integer
v0 Integer
v1)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v6 Any
v7 -> Any
v7) Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 Integer
v0 Integer
v1)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v9 Any
v10)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8854'__224 (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer))
(Integer -> Any
forall a b. a -> b
coe Integer
v5))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v6 Any
v7 -> Any
v7) Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 Integer
v0 Integer
v1)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
du_0'8854'm'8804''43'_2862 (Integer -> Any
forall a b. a -> b
coe Integer
v5))))
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_suc'91'i'93''8804'j'8658'i'60'j_3908 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_suc'91'i'93''8804'j'8658'i'60'j_3908 :: Integer -> Integer -> T__'8804'__26 -> T__'60'__50
d_suc'91'i'93''8804'j'8658'i'60'j_3908 Integer
v0 Integer
v1 T__'8804'__26
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> T__'60'__50
forall a b. a -> b
coe T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v5
T__'8804'__26
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
-1 -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
Integer
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> Any -> Any) -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64)
Any
_ -> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'8804'__26
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_i'60'j'8658'suc'91'i'93''8804'j_3932 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_i'60'j'8658'suc'91'i'93''8804'j_3932 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_i'60'j'8658'suc'91'i'93''8804'j_3932 Integer
v0 Integer
v1 T__'60'__50
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
T__'60'__50
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
-1
-> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v2)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
Any
_ -> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5))
T__'60'__50
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_suc'45'pred_3944 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_suc'45'pred_3944 :: Integer -> T__'8801'__12
d_suc'45'pred_3944 = Integer -> T__'8801'__12
forall a. a
erased
d_pred'45'suc_3954 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_pred'45'suc_3954 :: Integer -> T__'8801'__12
d_pred'45'suc_3954 = Integer -> T__'8801'__12
forall a. a
erased
d_'43''45'pred_3966 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45'pred_3966 :: Integer -> Integer -> T__'8801'__12
d_'43''45'pred_3966 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_pred'45''43'_3982 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_pred'45''43'_3982 :: Integer -> Integer -> T__'8801'__12
d_pred'45''43'_3982 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'suc_3994 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'suc_3994 :: Integer -> T__'8801'__12
d_neg'45'suc_3994 = Integer -> T__'8801'__12
forall a. a
erased
d_minus'45'suc_4002 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_minus'45'suc_4002 :: Integer -> Integer -> T__'8801'__12
d_minus'45'suc_4002 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_m'8804'pred'91'n'93''8658'm'60'n_4016 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_m'8804'pred'91'n'93''8658'm'60'n_4016 :: Integer -> Integer -> T__'8804'__26 -> T__'60'__50
d_m'8804'pred'91'n'93''8658'm'60'n_4016 ~Integer
v0 Integer
v1 T__'8804'__26
v2
= Integer -> T__'8804'__26 -> T__'60'__50
du_m'8804'pred'91'n'93''8658'm'60'n_4016 Integer
v1 T__'8804'__26
v2
du_m'8804'pred'91'n'93''8658'm'60'n_4016 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_m'8804'pred'91'n'93''8658'm'60'n_4016 :: Integer -> T__'8804'__26 -> T__'60'__50
du_m'8804'pred'91'n'93''8658'm'60'n_4016 Integer
v0 T__'8804'__26
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__26 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v1)
((Integer -> Integer -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
d_m'8854'1'43'n'60'm_2802 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)))
Any
_ -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v1)
((T__'8804'__18 -> T__'60'__50) -> T__'8804'__18 -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
(Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
((Integer -> Integer -> Integer) -> Any -> Any -> Integer
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
d_m'60'n'8658'm'8804'pred'91'n'93'_4034 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'60'n'8658'm'8804'pred'91'n'93'_4034 :: Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_m'60'n'8658'm'8804'pred'91'n'93'_4034 ~Integer
v0 Integer
v1 T__'60'__50
v2
= Integer -> T__'60'__50 -> T__'8804'__26
du_m'60'n'8658'm'8804'pred'91'n'93'_4034 Integer
v1 T__'60'__50
v2
du_m'60'n'8658'm'8804'pred'91'n'93'_4034 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_m'60'n'8658'm'8804'pred'91'n'93'_4034 :: Integer -> T__'60'__50 -> T__'8804'__26
du_m'60'n'8658'm'8804'pred'91'n'93'_4034 Integer
v0 T__'60'__50
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v1)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v1 of
T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
-> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v4
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v4))
T__'60'__50
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
Integer
_ -> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v1 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v4
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v4
T__'60'__50
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'8804''45'step'45'neg_4050 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45'step'45'neg_4050 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8804''45'step'45'neg_4050 ~Integer
v0 ~Integer
v1 T__'8804'__26
v2
= T__'8804'__26 -> T__'8804'__26
du_'8804''45'step'45'neg_4050 T__'8804'__26
v2
du_'8804''45'step'45'neg_4050 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8804''45'step'45'neg_4050 :: T__'8804'__26 -> T__'8804'__26
du_'8804''45'step'45'neg_4050 T__'8804'__26
v0
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v0 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v3
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v3
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v3
-> case T__'8804'__18 -> T__'8804'__18
forall a b. a -> b
coe T__'8804'__18
v3 of
T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22
-> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6
-> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v6
T__'8804'__18
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_pred'45'mono_4056 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_pred'45'mono_4056 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_pred'45'mono_4056 Integer
v0 Integer
v1 T__'8804'__26
v2
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v5
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v5)
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v5
-> (Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'737''45''8804'_2924 (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v5)
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'42''45'comm_4064 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'comm_4064 :: Integer -> Integer -> T__'8801'__12
d_'42''45'comm_4064 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'identity'737'_4098 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'identity'737'_4098 :: Integer -> T__'8801'__12
d_'42''45'identity'737'_4098 = Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'identity'691'_4112 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'identity'691'_4112 :: Integer -> T__'8801'__12
d_'42''45'identity'691'_4112 = Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'identity_4114 :: MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'42''45'identity_4114 :: T_Σ_14
d_'42''45'identity_4114
= (Any -> Any -> T_Σ_14) -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 Any
forall a. a
erased Any
forall a. a
erased
d_'42''45'zero'737'_4116 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'zero'737'_4116 :: Integer -> T__'8801'__12
d_'42''45'zero'737'_4116 = Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'zero'691'_4120 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'zero'691'_4120 :: Integer -> T__'8801'__12
d_'42''45'zero'691'_4120 = Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'zero_4122 :: MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'42''45'zero_4122 :: T_Σ_14
d_'42''45'zero_4122
= (Any -> Any -> T_Σ_14) -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 Any
forall a. a
erased Any
forall a. a
erased
d_lemma_4130 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_lemma_4130 :: Integer -> Integer -> Integer -> T__'8801'__12
d_lemma_4130 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'assoc_4138 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'assoc_4138 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'assoc_4138 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_distrib'45'lemma_4218 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'45'lemma_4218 :: Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'45'lemma_4218 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'691''45''43'_4294 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'691''45''43'_4294 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'691''45''43'_4294 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'737''45''43'_4584 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'737''45''43'_4584 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'737''45''43'_4584 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'45''43'_4586 ::
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'42''45'distrib'45''43'_4586 :: T_Σ_14
d_'42''45'distrib'45''43'_4586
= (Any -> Any -> T_Σ_14) -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 Any
forall a. a
erased Any
forall a. a
erased
d_'42''45'isMagma_4588 ::
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'42''45'isMagma_4588 :: T_IsMagma_86
d_'42''45'isMagma_4588
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any -> Any) -> T_IsMagma_86)
-> Any -> Any -> T_IsMagma_86
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any -> Any) -> T_IsMagma_86
MAlonzo.Code.Algebra.Structures.C_IsMagma'46'constructor_553
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
Any
forall a. a
erased
d_'42''45'isSemigroup_4590 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'42''45'isSemigroup_4590 :: T_IsSemigroup_194
d_'42''45'isSemigroup_4590
= (T_IsMagma_86 -> (Any -> Any -> Any -> Any) -> T_IsSemigroup_194)
-> Any -> Any -> T_IsSemigroup_194
forall a b. a -> b
coe
T_IsMagma_86 -> (Any -> Any -> Any -> Any) -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Structures.C_IsSemigroup'46'constructor_4001
(T_IsMagma_86 -> Any
forall a b. a -> b
coe T_IsMagma_86
d_'42''45'isMagma_4588) Any
forall a. a
erased
d_'42''45'isCommutativeSemigroup_4592 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
d_'42''45'isCommutativeSemigroup_4592 :: T_IsCommutativeSemigroup_270
d_'42''45'isCommutativeSemigroup_4592
= (T_IsSemigroup_194
-> (Any -> Any -> Any) -> T_IsCommutativeSemigroup_270)
-> Any -> Any -> T_IsCommutativeSemigroup_270
forall a b. a -> b
coe
T_IsSemigroup_194
-> (Any -> Any -> Any) -> T_IsCommutativeSemigroup_270
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemigroup'46'constructor_5673
(T_IsSemigroup_194 -> Any
forall a b. a -> b
coe T_IsSemigroup_194
d_'42''45'isSemigroup_4590) Any
forall a. a
erased
d_'42''45'1'45'isMonoid_4594 ::
MAlonzo.Code.Algebra.Structures.T_IsMonoid_358
d_'42''45'1'45'isMonoid_4594 :: T_IsMonoid_358
d_'42''45'1'45'isMonoid_4594
= (T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358)
-> Any -> Any -> T_IsMonoid_358
forall a b. a -> b
coe
T_IsSemigroup_194 -> T_Σ_14 -> T_IsMonoid_358
MAlonzo.Code.Algebra.Structures.C_IsMonoid'46'constructor_7687
(T_IsSemigroup_194 -> Any
forall a b. a -> b
coe T_IsSemigroup_194
d_'42''45'isSemigroup_4590) (T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'42''45'identity_4114)
d_'42''45'1'45'isCommutativeMonoid_4596 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeMonoid_406
d_'42''45'1'45'isCommutativeMonoid_4596 :: T_IsCommutativeMonoid_406
d_'42''45'1'45'isCommutativeMonoid_4596
= (T_IsMonoid_358
-> (Any -> Any -> Any) -> T_IsCommutativeMonoid_406)
-> Any -> Any -> T_IsCommutativeMonoid_406
forall a b. a -> b
coe
T_IsMonoid_358 -> (Any -> Any -> Any) -> T_IsCommutativeMonoid_406
MAlonzo.Code.Algebra.Structures.C_IsCommutativeMonoid'46'constructor_9361
(T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
d_'42''45'1'45'isMonoid_4594) Any
forall a. a
erased
d_'43''45''42''45'isSemiring_4598 ::
MAlonzo.Code.Algebra.Structures.T_IsSemiring_1238
d_'43''45''42''45'isSemiring_4598 :: T_IsSemiring_1238
d_'43''45''42''45'isSemiring_4598
= (T_IsSemiringWithoutAnnihilatingZero_1142
-> T_Σ_14 -> T_IsSemiring_1238)
-> Any -> Any -> T_IsSemiring_1238
forall a b. a -> b
coe
T_IsSemiringWithoutAnnihilatingZero_1142
-> T_Σ_14 -> T_IsSemiring_1238
MAlonzo.Code.Algebra.Structures.C_IsSemiring'46'constructor_37213
((T_IsCommutativeMonoid_406
-> T_IsMonoid_358
-> T_Σ_14
-> T_IsSemiringWithoutAnnihilatingZero_1142)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsCommutativeMonoid_406
-> T_IsMonoid_358
-> T_Σ_14
-> T_IsSemiringWithoutAnnihilatingZero_1142
MAlonzo.Code.Algebra.Structures.C_IsSemiringWithoutAnnihilatingZero'46'constructor_33703
(T_IsCommutativeMonoid_406 -> Any
forall a b. a -> b
coe T_IsCommutativeMonoid_406
d_'43''45'0'45'isCommutativeMonoid_3300)
(T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
d_'42''45'1'45'isMonoid_4594)
(T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'42''45'distrib'45''43'_4586))
(T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'42''45'zero_4122)
d_'43''45''42''45'isCommutativeSemiring_4600 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
d_'43''45''42''45'isCommutativeSemiring_4600 :: T_IsCommutativeSemiring_1344
d_'43''45''42''45'isCommutativeSemiring_4600
= (T_IsSemiring_1238
-> (Any -> Any -> Any) -> T_IsCommutativeSemiring_1344)
-> Any -> Any -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe
T_IsSemiring_1238
-> (Any -> Any -> Any) -> T_IsCommutativeSemiring_1344
MAlonzo.Code.Algebra.Structures.C_IsCommutativeSemiring'46'constructor_40675
(T_IsSemiring_1238 -> Any
forall a b. a -> b
coe T_IsSemiring_1238
d_'43''45''42''45'isSemiring_4598) Any
forall a. a
erased
d_'43''45''42''45'isRing_4602 ::
MAlonzo.Code.Algebra.Structures.T_IsRing_1584
d_'43''45''42''45'isRing_4602 :: T_IsRing_1584
d_'43''45''42''45'isRing_4602
= (T_IsAbelianGroup_662
-> T_IsMonoid_358 -> T_Σ_14 -> T_Σ_14 -> T_IsRing_1584)
-> Any -> Any -> Any -> Any -> T_IsRing_1584
forall a b. a -> b
coe
T_IsAbelianGroup_662
-> T_IsMonoid_358 -> T_Σ_14 -> T_Σ_14 -> T_IsRing_1584
MAlonzo.Code.Algebra.Structures.C_IsRing'46'constructor_48413
(T_IsAbelianGroup_662 -> Any
forall a b. a -> b
coe T_IsAbelianGroup_662
d_'43''45'isAbelianGroup_3304)
(T_IsMonoid_358 -> Any
forall a b. a -> b
coe T_IsMonoid_358
d_'42''45'1'45'isMonoid_4594)
(T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'42''45'distrib'45''43'_4586) (T_Σ_14 -> Any
forall a b. a -> b
coe T_Σ_14
d_'42''45'zero_4122)
d_'43''45''42''45'isCommutativeRing_4604 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeRing_1720
d_'43''45''42''45'isCommutativeRing_4604 :: T_IsCommutativeRing_1720
d_'43''45''42''45'isCommutativeRing_4604
= (T_IsRing_1584 -> (Any -> Any -> Any) -> T_IsCommutativeRing_1720)
-> Any -> Any -> T_IsCommutativeRing_1720
forall a b. a -> b
coe
T_IsRing_1584 -> (Any -> Any -> Any) -> T_IsCommutativeRing_1720
MAlonzo.Code.Algebra.Structures.C_IsCommutativeRing'46'constructor_54081
(T_IsRing_1584 -> Any
forall a b. a -> b
coe T_IsRing_1584
d_'43''45''42''45'isRing_4602) Any
forall a. a
erased
d_'42''45'magma_4606 :: MAlonzo.Code.Algebra.Bundles.T_Magma_36
d_'42''45'magma_4606 :: T_Magma_36
d_'42''45'magma_4606
= ((Any -> Any -> Any) -> T_IsMagma_86 -> T_Magma_36)
-> (Integer -> Integer -> Integer) -> T_IsMagma_86 -> T_Magma_36
forall a b. a -> b
coe
(Any -> Any -> Any) -> T_IsMagma_86 -> T_Magma_36
MAlonzo.Code.Algebra.Bundles.C_Magma'46'constructor_581
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 T_IsMagma_86
d_'42''45'isMagma_4588
d_'42''45'semigroup_4608 ::
MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
d_'42''45'semigroup_4608 :: T_Semigroup_206
d_'42''45'semigroup_4608
= ((Any -> Any -> Any) -> T_IsSemigroup_194 -> T_Semigroup_206)
-> (Integer -> Integer -> Integer)
-> T_IsSemigroup_194
-> T_Semigroup_206
forall a b. a -> b
coe
(Any -> Any -> Any) -> T_IsSemigroup_194 -> T_Semigroup_206
MAlonzo.Code.Algebra.Bundles.C_Semigroup'46'constructor_3669
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
T_IsSemigroup_194
d_'42''45'isSemigroup_4590
d_'42''45'commutativeSemigroup_4610 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
d_'42''45'commutativeSemigroup_4610 :: T_CommutativeSemigroup_332
d_'42''45'commutativeSemigroup_4610
= ((Any -> Any -> Any)
-> T_IsCommutativeSemigroup_270 -> T_CommutativeSemigroup_332)
-> (Integer -> Integer -> Integer)
-> T_IsCommutativeSemigroup_270
-> T_CommutativeSemigroup_332
forall a b. a -> b
coe
(Any -> Any -> Any)
-> T_IsCommutativeSemigroup_270 -> T_CommutativeSemigroup_332
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemigroup'46'constructor_5887
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
T_IsCommutativeSemigroup_270
d_'42''45'isCommutativeSemigroup_4592
d_'42''45'1'45'monoid_4612 ::
MAlonzo.Code.Algebra.Bundles.T_Monoid_506
d_'42''45'1'45'monoid_4612 :: T_Monoid_506
d_'42''45'1'45'monoid_4612
= ((Any -> Any -> Any) -> Any -> T_IsMonoid_358 -> T_Monoid_506)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsMonoid_358
-> T_Monoid_506
forall a b. a -> b
coe
(Any -> Any -> Any) -> Any -> T_IsMonoid_358 -> T_Monoid_506
MAlonzo.Code.Algebra.Bundles.C_Monoid'46'constructor_8851
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer
1 :: Integer)
T_IsMonoid_358
d_'42''45'1'45'isMonoid_4594
d_'42''45'1'45'commutativeMonoid_4614 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeMonoid_582
d_'42''45'1'45'commutativeMonoid_4614 :: T_CommutativeMonoid_582
d_'42''45'1'45'commutativeMonoid_4614
= ((Any -> Any -> Any)
-> Any -> T_IsCommutativeMonoid_406 -> T_CommutativeMonoid_582)
-> (Integer -> Integer -> Integer)
-> Integer
-> T_IsCommutativeMonoid_406
-> T_CommutativeMonoid_582
forall a b. a -> b
coe
(Any -> Any -> Any)
-> Any -> T_IsCommutativeMonoid_406 -> T_CommutativeMonoid_582
MAlonzo.Code.Algebra.Bundles.C_CommutativeMonoid'46'constructor_10343
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer
1 :: Integer)
T_IsCommutativeMonoid_406
d_'42''45'1'45'isCommutativeMonoid_4596
d_'43''45''42''45'semiring_4616 ::
MAlonzo.Code.Algebra.Bundles.T_Semiring_1932
d_'43''45''42''45'semiring_4616 :: T_Semiring_1932
d_'43''45''42''45'semiring_4616
= ((Any -> Any -> Any)
-> (Any -> Any -> Any)
-> Any
-> Any
-> T_IsSemiring_1238
-> T_Semiring_1932)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsSemiring_1238
-> T_Semiring_1932
forall a b. a -> b
coe
(Any -> Any -> Any)
-> (Any -> Any -> Any)
-> Any
-> Any
-> T_IsSemiring_1238
-> T_Semiring_1932
MAlonzo.Code.Algebra.Bundles.C_Semiring'46'constructor_33613
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer
0 :: Integer)
(Integer
1 :: Integer) T_IsSemiring_1238
d_'43''45''42''45'isSemiring_4598
d_'43''45''42''45'commutativeSemiring_4618 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeSemiring_2094
d_'43''45''42''45'commutativeSemiring_4618 :: T_CommutativeSemiring_2094
d_'43''45''42''45'commutativeSemiring_4618
= ((Any -> Any -> Any)
-> (Any -> Any -> Any)
-> Any
-> Any
-> T_IsCommutativeSemiring_1344
-> T_CommutativeSemiring_2094)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeSemiring_1344
-> T_CommutativeSemiring_2094
forall a b. a -> b
coe
(Any -> Any -> Any)
-> (Any -> Any -> Any)
-> Any
-> Any
-> T_IsCommutativeSemiring_1344
-> T_CommutativeSemiring_2094
MAlonzo.Code.Algebra.Bundles.C_CommutativeSemiring'46'constructor_36513
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer
0 :: Integer)
(Integer
1 :: Integer) T_IsCommutativeSemiring_1344
d_'43''45''42''45'isCommutativeSemiring_4600
d_'43''45''42''45'ring_4620 ::
MAlonzo.Code.Algebra.Bundles.T_Ring_2514
d_'43''45''42''45'ring_4620 :: T_Ring_2514
d_'43''45''42''45'ring_4620
= ((Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Any)
-> Any
-> Any
-> T_IsRing_1584
-> T_Ring_2514)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsRing_1584
-> T_Ring_2514
forall a b. a -> b
coe
(Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Any)
-> Any
-> Any
-> T_IsRing_1584
-> T_Ring_2514
MAlonzo.Code.Algebra.Bundles.C_Ring'46'constructor_43513
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer
0 :: Integer)
(Integer
1 :: Integer) T_IsRing_1584
d_'43''45''42''45'isRing_4602
d_'43''45''42''45'commutativeRing_4622 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
d_'43''45''42''45'commutativeRing_4622 :: T_CommutativeRing_2704
d_'43''45''42''45'commutativeRing_4622
= ((Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Any)
-> Any
-> Any
-> T_IsCommutativeRing_1720
-> T_CommutativeRing_2704)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer -> Integer)
-> (Integer -> Integer)
-> Integer
-> Integer
-> T_IsCommutativeRing_1720
-> T_CommutativeRing_2704
forall a b. a -> b
coe
(Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Any)
-> Any
-> Any
-> T_IsCommutativeRing_1720
-> T_CommutativeRing_2704
MAlonzo.Code.Algebra.Bundles.C_CommutativeRing'46'constructor_47013
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer
0 :: Integer)
(Integer
1 :: Integer) T_IsCommutativeRing_1720
d_'43''45''42''45'isCommutativeRing_4604
d_abs'45''42''45'commute_4624 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_abs'45''42''45'commute_4624 :: Integer -> Integer -> T__'8801'__12
d_abs'45''42''45'commute_4624 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'cancel'691''45''8801'_4636 ::
Integer ->
Integer ->
Integer ->
(MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'cancel'691''45''8801'_4636 :: Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
d_'42''45'cancel'691''45''8801'_4636 = Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_sign'45'i'8801'sign'45'j_4698 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer ->
Integer ->
Integer ->
(MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_sign'45'i'8801'sign'45'j_4698 :: T_Sign_6
-> Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
d_sign'45'i'8801'sign'45'j_4698 = T_Sign_6
-> Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> Integer
-> Integer
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_'42''45'cancel'737''45''8801'_4810 ::
Integer ->
Integer ->
Integer ->
(MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'cancel'737''45''8801'_4810 :: Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
d_'42''45'cancel'737''45''8801'_4810 = Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_suc'45''42'_4830 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_suc'45''42'_4830 :: Integer -> Integer -> T__'8801'__12
d_suc'45''42'_4830 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'suc_4846 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'suc_4846 :: Integer -> Integer -> T__'8801'__12
d_'42''45'suc_4846 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'45'1'42'n'8801''45'n_4860 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'45'1'42'n'8801''45'n_4860 :: Integer -> T__'8801'__12
d_'45'1'42'n'8801''45'n_4860 = Integer -> T__'8801'__12
forall a. a
erased
d_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 :: Integer -> Integer -> T__'8801'__12 -> T__'8846'__30
d_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 Integer
v0 ~Integer
v1 ~T__'8801'__12
v2
= Integer -> T__'8846'__30
du_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 Integer
v0
du_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 ::
Integer -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 :: Integer -> T__'8846'__30
du_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_4872 Integer
v0
= (Integer -> T__'8846'__30) -> Any -> T__'8846'__30
forall a b. a -> b
coe
Integer -> T__'8846'__30
MAlonzo.Code.Data.Nat.Properties.du_m'42'n'8801'0'8658'm'8801'0'8744'n'8801'0_2682
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
d_pos'45'distrib'45''42'_4898 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_pos'45'distrib'45''42'_4898 :: Integer -> Integer -> T__'8801'__12
d_pos'45'distrib'45''42'_4898 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'distrib'737''45''42'_4912 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'distrib'737''45''42'_4912 :: Integer -> Integer -> T__'8801'__12
d_neg'45'distrib'737''45''42'_4912 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'distrib'691''45''42'_4928 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'distrib'691''45''42'_4928 :: Integer -> Integer -> T__'8801'__12
d_neg'45'distrib'691''45''42'_4928 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'9667''45'distrib'45''42'_4946 ::
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
MAlonzo.Code.Data.Sign.Base.T_Sign_6 ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'9667''45'distrib'45''42'_4946 :: T_Sign_6 -> T_Sign_6 -> Integer -> Integer -> T__'8801'__12
d_'9667''45'distrib'45''42'_4946 = T_Sign_6 -> T_Sign_6 -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'cancel'691''45''8804''45'pos_4978 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'cancel'691''45''8804''45'pos_4978 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'cancel'691''45''8804''45'pos_4978 Integer
v0 Integer
v1 ~Integer
v2 T__'8804'__26
v3
= Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'691''45''8804''45'pos_4978 Integer
v0 Integer
v1 T__'8804'__26
v3
du_'42''45'cancel'691''45''8804''45'pos_4978 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'42''45'cancel'691''45''8804''45'pos_4978 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'691''45''8804''45'pos_4978 Integer
v0 Integer
v1 T__'8804'__26
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) ->
(Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'42''45'cancel'691''45''8804'_2792
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
Integer
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
Any
_ -> (Any -> Any -> Any) -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'42''45'cancel'691''45''8804'_2792
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))))
d_'42''45'cancel'737''45''8804''45'pos_5002 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'cancel'737''45''8804''45'pos_5002 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'cancel'737''45''8804''45'pos_5002 ~Integer
v0 Integer
v1 Integer
v2
= Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'737''45''8804''45'pos_5002 Integer
v1 Integer
v2
du_'42''45'cancel'737''45''8804''45'pos_5002 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'42''45'cancel'737''45''8804''45'pos_5002 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'737''45''8804''45'pos_5002 Integer
v0 Integer
v1
= (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'691''45''8804''45'pos_4978 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
d_'42''45'mono'691''45''8804''45'pos_5022 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'691''45''8804''45'pos_5022 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'pos_5022 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v3 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v6
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
((Integer
-> Integer -> T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer
-> Integer -> T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'42''45'mono'45''8804'_2824
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6)
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))))
T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
-> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v6
-> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
0 -> case Integer -> Integer
forall a b. a -> b
coe Integer
v2 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> T__'8804'__18 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v6
Integer
_ -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer
-> Integer -> T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer
-> Integer -> T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'42''45'mono'45''8804'_2824
(Integer -> Any
forall a b. a -> b
coe Integer
v2) ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6)
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'8804''45'refl_1634
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'42''45'mono'691''45''8804''45'nonNeg_5044 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'691''45''8804''45'nonNeg_5044 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'nonNeg_5044 Integer
v0 Integer
v1 Integer
v2
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (Any -> Any) -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(\ Any
v3 ->
(T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe (Integer
1 :: Integer)) in
Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'pos_5022 (Integer -> Any
forall a b. a -> b
coe Integer
v3) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2))
d_'42''45'mono'737''45''8804''45'nonNeg_5066 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'737''45''8804''45'nonNeg_5066 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'nonNeg_5066 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'nonNeg_5044 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
d_'42''45'mono'737''45''8804''45'pos_5088 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'737''45''8804''45'pos_5088 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'pos_5088 Integer
v0 Integer
v1 Integer
v2
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'nonNeg_5066
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
d_'42''45'cancel'737''45''8804''45'neg_5098 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'cancel'737''45''8804''45'neg_5098 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'cancel'737''45''8804''45'neg_5098 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_neg'45'cancel'45''8804'_3740 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
((Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'737''45''8804''45'pos_5002
(Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Integer
forall a b. a -> b
coe Integer
v1))
(Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Integer
forall a b. a -> b
coe Integer
v2))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2))))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3))))
d_'42''45'cancel'691''45''8804''45'neg_5118 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'cancel'691''45''8804''45'neg_5118 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'cancel'691''45''8804''45'neg_5118 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_neg'45'cancel'45''8804'_3740 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'691''45''8804''45'pos_4978
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3))))
d_'42''45'mono'737''45''8804''45'nonPos_5136 ::
Integer ->
AgdaAny ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'737''45''8804''45'nonPos_5136 :: Integer
-> Any -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'nonPos_5136 Integer
v0 ~Any
v1 Integer
v2 Integer
v3 T__'8804'__26
v4
= Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'737''45''8804''45'nonPos_5136 Integer
v0 Integer
v2 Integer
v3 T__'8804'__26
v4
du_'42''45'mono'737''45''8804''45'nonPos_5136 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'42''45'mono'737''45''8804''45'nonPos_5136 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'737''45''8804''45'nonPos_5136 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v5 Any
v6 -> Any
v6)
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Integer
forall a b. a -> b
coe Integer
v0)) Integer
v1 Integer
v2)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v5 Any
v6 -> Any
v5) Integer
v1 Integer
v2)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v5 Any
v6 Any
v7 Any
v8 Any
v9 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v8 Any
v9)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v5 Any
v6 -> Any
v5) Integer
v1 Integer
v2)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'pos_5088 Integer
v4
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v5 Any
v6 -> Any
v6) Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 Integer
v1 Integer
v2)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (\ Any
v5 Any
v6 -> Any
v5) Integer
v1 Integer
v2)
((Integer -> T__'8804'__26 -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26 -> T__'8804'__26
du_neg'45'mono'45''8804'_3730 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)))))
d_'42''45'mono'691''45''8804''45'nonPos_5164 ::
Integer ->
AgdaAny ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'691''45''8804''45'nonPos_5164 :: Integer
-> Any -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'nonPos_5164 Integer
v0 ~Any
v1 Integer
v2 Integer
v3 T__'8804'__26
v4
= Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'691''45''8804''45'nonPos_5164 Integer
v0 Integer
v2 Integer
v3 T__'8804'__26
v4
du_'42''45'mono'691''45''8804''45'nonPos_5164 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'42''45'mono'691''45''8804''45'nonPos_5164 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'691''45''8804''45'nonPos_5164 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v4 Any
v5 -> Any
v5)
(\ Any
v4 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Any -> Integer
forall a b. a -> b
coe Any
v4) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
Integer
v1 Integer
v2)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Any -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(\ Any
v4 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Any -> Integer
forall a b. a -> b
coe Any
v4) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v4 Any
v5 -> Any
v4) Integer
v1 Integer
v2)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Any -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(\ Any
v4 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Any -> Integer
forall a b. a -> b
coe Any
v4) (Integer -> Integer
forall a b. a -> b
coe Integer
v0))
(\ Any
v4 Any
v5 -> Any
v4) Integer
v1 Integer
v2)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'737''45''8804''45'nonPos_5136 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)))
d_'42''45'mono'737''45''8804''45'neg_5184 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'737''45''8804''45'neg_5184 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'neg_5184 Integer
v0 Integer
v1 Integer
v2
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'737''45''8804''45'nonPos_5136
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
d_'42''45'mono'691''45''8804''45'neg_5192 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'691''45''8804''45'neg_5192 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'neg_5192 Integer
v0 Integer
v1 Integer
v2
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'mono'691''45''8804''45'nonPos_5164
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
d_'42''45'mono'737''45''60''45'pos_5200 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'mono'737''45''60''45'pos_5200 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'737''45''60''45'pos_5200 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v3 of
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72 T__'8804'__18
v6
-> (Integer -> T__'8804'__18 -> T__'60'__50)
-> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'60'__50
du_'43''9667''45'mono'45''60'_2448
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
mulInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'43''45'mono'45''60''45''8804'_2428
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6)
((Integer -> Integer -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'42''45'mono'691''45''8804'_2844
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6))))
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
Any
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v2 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Integer -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> T__'60'__50
du_'45''9667''60''43''9667'_2498
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
mulInt ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
Any
_ -> case T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
v3 of
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58 T__'8804'__18
v6
-> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'43''45'mono'45''60''45''8804'_2428
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v6)
((Integer -> Integer -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'42''45'mono'691''45''8804'_2844
(Integer -> Any
forall a b. a -> b
coe Integer
v0) ((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''8658''8804'_1736
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6))))
T__'60'__50
_ -> T__'60'__50
forall a. a
MAlonzo.RTE.mazUnreachableError
d_'42''45'mono'691''45''60''45'pos_5230 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'mono'691''45''60''45'pos_5230 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'691''45''60''45'pos_5230 Integer
v0 Integer
v1 Integer
v2
= (Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'737''45''60''45'pos_5200 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
d_'42''45'cancel'737''45''60''45'nonNeg_5252 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'737''45''60''45'nonNeg_5252 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'nonNeg_5252 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v2 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'43''60''43'_72
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__18)
-> Integer -> Integer -> Integer -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'42''45'cancel'737''45''60'_2936
Integer
v0 (Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Integer
forall a b. a -> b
coe Integer
v1))
(Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Integer
forall a b. a -> b
coe Integer
v2))
((Integer -> T__'60'__50 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'60'__50 -> T__'8804'__18
du_'43''9667''45'cancel'45''60'_2464
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
mulInt (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3)))
Any
_ -> Any -> T__'60'__50
forall a b. a -> b
coe
Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24
Any
_ -> case Integer -> Any
forall a b. a -> b
coe Integer
v2 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''43'_64
Any
_ -> (T__'8804'__18 -> T__'60'__50) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__'8804'__18 -> T__'60'__50
MAlonzo.Code.Data.Integer.Base.C_'45''60''45'_58
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__18)
-> Integer -> Integer -> Integer -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.d_'42''45'cancel'737''45''60'_2936
Integer
v0 (Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Integer
forall a b. a -> b
coe Integer
v2))
(Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Integer
forall a b. a -> b
coe Integer
v1))
((Integer -> T__'60'__50 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'60'__50 -> T__'8804'__18
du_neg'9667''45'cancel'45''60'_2482
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
mulInt (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'8739'_'8739'_18 (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3))))
d_'42''45'cancel'691''45''60''45'nonNeg_5292 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'691''45''60''45'nonNeg_5292 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'691''45''60''45'nonNeg_5292 Integer
v0 Integer
v1 Integer
v2
= (Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'nonNeg_5252 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1)
d_'42''45'mono'737''45''60''45'neg_5312 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'mono'737''45''60''45'neg_5312 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'737''45''60''45'neg_5312 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= (T__IsRelatedTo__70 -> Any) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v4 Any
v5 Any
v7 Any
v8)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'737''45''60''45'pos_5200 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Integer -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v4 Any
v5 -> Any
v5) Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 Integer
v1 Integer
v2)
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Integer -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (\ Any
v4 Any
v5 -> Any
v4) Integer
v1 Integer
v2)
((Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_neg'45'mono'45''60'_2144 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3))))
d_'42''45'mono'691''45''60''45'neg_5330 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'mono'691''45''60''45'neg_5330 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'691''45''60''45'neg_5330 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= (T__IsRelatedTo__70 -> Any) -> Any -> T__'60'__50
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v4 Any
v5 Any
v7 Any
v8)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))))
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'mono'737''45''60''45'neg_5312 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3)))
d_'42''45'cancel'737''45''60''45'neg_5350 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'737''45''60''45'neg_5350 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'neg_5350 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_neg'45'cancel'45''60'_2162 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'nonNeg_5252
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v4 Any
v5 Any
v7 Any
v8)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
addInt (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_'45'__218 (Integer -> Any
forall a b. a -> b
coe Integer
v2))))
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3))))
d_'42''45'cancel'737''45''60''45'nonPos_5370 ::
Integer ->
Integer ->
Integer ->
AgdaAny ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'737''45''60''45'nonPos_5370 :: Integer -> Integer -> Integer -> Any -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'nonPos_5370 Integer
v0 Integer
v1 Integer
v2 ~Any
v3 T__'60'__50
v4
= Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
du_'42''45'cancel'737''45''60''45'nonPos_5370 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v4
du_'42''45'cancel'737''45''60''45'nonPos_5370 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'42''45'cancel'737''45''60''45'nonPos_5370 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
du_'42''45'cancel'737''45''60''45'nonPos_5370 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'60'__50
forall a b. a -> b
coe
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'neg_5350 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3))
d_'42''45'cancel'691''45''60''45'neg_5394 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'691''45''60''45'neg_5394 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'691''45''60''45'neg_5394 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= (Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> T__'60'__50
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'neg_5350 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2)
((T__IsRelatedTo__70 -> Any) -> Any -> Any
forall a b. a -> b
coe
T__IsRelatedTo__70 -> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin'45'strict__176
(((Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''60'_202
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'60'__50
du_'60''45'trans_1872 Any
v4 Any
v5 Any
v7 Any
v8)
(T_Σ_14 -> Any
forall a b. a -> b
coe
T_Σ_14
MAlonzo.Code.Relation.Binary.PropositionalEquality.Core.du_resp'8322'_144)
(\ Any
v4 Any
v5 Any
v6 Any
v7 Any
v8 -> (T__'60'__50 -> T__'8804'__26 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'60'__50 -> T__'8804'__26 -> T__'60'__50
du_'60''45''8804''45'trans_1858 Any
v7 Any
v8)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274 (Integer -> Any
forall a b. a -> b
coe Integer
v2)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'42'__274
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
(T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3)))
d_'42''45'cancel'691''45''60''45'nonPos_5414 ::
Integer ->
Integer ->
Integer ->
AgdaAny ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'691''45''60''45'nonPos_5414 :: Integer -> Integer -> Integer -> Any -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'691''45''60''45'nonPos_5414 Integer
v0 Integer
v1 Integer
v2 ~Any
v3 T__'60'__50
v4
= Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
du_'42''45'cancel'691''45''60''45'nonPos_5414 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v4
du_'42''45'cancel'691''45''60''45'nonPos_5414 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
du_'42''45'cancel'691''45''60''45'nonPos_5414 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
du_'42''45'cancel'691''45''60''45'nonPos_5414 Integer
v0 Integer
v1 Integer
v2 T__'60'__50
v3
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> Any -> T__'60'__50
forall a b. a -> b
coe
Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24
Integer
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'60'__50
forall a b. a -> b
coe
((Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'691''45''60''45'neg_5394 (Integer -> Any
forall a b. a -> b
coe Integer
v4) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'60'__50 -> Any
forall a b. a -> b
coe T__'60'__50
v3))
d_'8739'm'42'n'8739''8801''8739'm'8739''42''8739'n'8739'_5442 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8739'm'42'n'8739''8801''8739'm'8739''42''8739'n'8739'_5442 :: Integer -> Integer -> T__'8801'__12
d_'8739'm'42'n'8739''8801''8739'm'8739''42''8739'n'8739'_5442
= Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_i'8804'j'8658'i'8851'j'8801'i_5480 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_i'8804'j'8658'i'8851'j'8801'i_5480 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_i'8804'j'8658'i'8851'j'8801'i_5480 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_i'8805'j'8658'i'8851'j'8801'j_5490 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_i'8805'j'8658'i'8851'j'8801'j_5490 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_i'8805'j'8658'i'8851'j'8801'j_5490 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_i'8804'j'8658'i'8852'j'8801'j_5500 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_i'8804'j'8658'i'8852'j'8801'j_5500 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_i'8804'j'8658'i'8852'j'8801'j_5500 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_i'8805'j'8658'i'8852'j'8801'i_5510 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_i'8805'j'8658'i'8852'j'8801'i_5510 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_i'8805'j'8658'i'8852'j'8801'i_5510 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_'8851''45'operator_5516 ::
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MinOperator_84
d_'8851''45'operator_5516 :: T_MinOperator_84
d_'8851''45'operator_5516
= ((Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> T_MinOperator_84)
-> Any -> Any -> Any -> T_MinOperator_84
forall a b. a -> b
coe
(Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.C_MinOperator'46'constructor_983
((Integer -> Integer -> Integer) -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8851'__298) Any
forall a. a
erased Any
forall a. a
erased
d_'8852''45'operator_5518 ::
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.T_MaxOperator_114
d_'8852''45'operator_5518 :: T_MaxOperator_114
d_'8852''45'operator_5518
= ((Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> T_MaxOperator_114)
-> Any -> Any -> Any -> T_MaxOperator_114
forall a b. a -> b
coe
(Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> (Any -> Any -> Any -> Any)
-> T_MaxOperator_114
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.C_MaxOperator'46'constructor_1521
((Integer -> Integer -> Integer) -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'8852'__280) Any
forall a. a
erased Any
forall a. a
erased
d_antimono'45''8804''45'distrib'45''8851'_5522 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_antimono'45''8804''45'distrib'45''8851'_5522 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_antimono'45''8804''45'distrib'45''8851'_5522 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_antimono'45''8804''45'distrib'45''8852'_5524 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_antimono'45''8804''45'distrib'45''8852'_5524 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_antimono'45''8804''45'distrib'45''8852'_5524 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_mono'45''8804''45'distrib'45''8851'_5526 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_mono'45''8804''45'distrib'45''8851'_5526 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_mono'45''8804''45'distrib'45''8851'_5526 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_mono'45''8804''45'distrib'45''8852'_5528 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_mono'45''8804''45'distrib'45''8852'_5528 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_mono'45''8804''45'distrib'45''8852'_5528 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8801'__12 -> T__'8801'__12)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_x'8851'y'8804'x_5530 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8804'x_5530 :: Integer -> Integer -> T__'8804'__26
d_x'8851'y'8804'x_5530
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8804'y'8658'x'8851'z'8804'y_5532 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8658'x'8851'z'8804'y_5532 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8658'x'8851'z'8804'y_5532
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'x'8851'z'8804'y_1982
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8804'y'8658'z'8851'x'8804'y_5534 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8658'z'8851'x'8804'y_5534 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8658'z'8851'x'8804'y_5534
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'z'8851'x'8804'y_1994
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8804'y'8658'x'8851'z'8804'y_5536 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8658'x'8851'z'8804'y_5536 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8658'x'8851'z'8804'y_5536
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'x'8851'z'8804'y_1982
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8804'y'8658'z'8851'x'8804'y_5538 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8658'z'8851'x'8804'y_5538 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8658'z'8851'x'8804'y_5538
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8658'z'8851'x'8804'y_1994
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8804'y'8851'z'8658'x'8804'y_5540 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'y_5540 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'y_5540
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'y_2006
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8804'y'8851'z'8658'x'8804'z_5542 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'z_5542 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'z_5542
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'z_2020
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8851'y'8804'y_5544 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8804'y_5544 :: Integer -> Integer -> T__'8804'__26
d_x'8851'y'8804'y_5544
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_1652
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8851'y'8776'x'8658'x'8804'y_5546 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8776'x'8658'x'8804'y_5546 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_x'8851'y'8776'x'8658'x'8804'y_5546
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_1890
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8851'y'8776'y'8658'y'8804'x_5548 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8776'y'8658'y'8804'x_5548 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_x'8851'y'8776'y'8658'y'8804'x_5548
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_1922
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8851'y'8804'x_5550 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8804'x_5550 :: Integer -> Integer -> T__'8804'__26
d_x'8851'y'8804'x_5550
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8851'y'8804'x'8852'y_5552 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8804'x'8852'y_5552 :: Integer -> Integer -> T__'8804'__26
d_x'8851'y'8804'x'8852'y_5552
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> Any -> Any -> Any)
-> Any -> Any -> Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_x'8851'y'8804'x'8852'y_2072
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_x'8851'y'8804'y_5554 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8804'y_5554 :: Integer -> Integer -> T__'8804'__26
d_x'8851'y'8804'y_5554
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_1652
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_x'8851'y'8776'x'8658'x'8804'y_5556 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8776'x'8658'x'8804'y_5556 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_x'8851'y'8776'x'8658'x'8804'y_5556
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_1890
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8851'y'8776'y'8658'y'8804'x_5558 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8851'y'8776'y'8658'y'8804'x_5558 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_x'8851'y'8776'y'8658'y'8804'x_5558
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_1922
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8804'y'8851'z'8658'x'8804'y_5560 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'y_5560 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'y_5560
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'y_2006
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_x'8804'y'8851'z'8658'x'8804'z_5562 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'z_5562 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_x'8804'y'8851'z'8658'x'8804'z_5562
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8804'y'8851'z'8658'x'8804'z_2020
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'absorbs'45''8852'_5564 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'absorbs'45''8852'_5564 :: Integer -> Integer -> T__'8801'__12
d_'8851''45'absorbs'45''8852'_5564 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'assoc_5566 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'assoc_5566 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8851''45'assoc_5566 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'band_5568 :: MAlonzo.Code.Algebra.Bundles.T_Band_266
d_'8851''45'band_5568 :: T_Band_266
d_'8851''45'band_5568
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Band_266
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'band_1872
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'comm_5570 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'comm_5570 :: Integer -> Integer -> T__'8801'__12
d_'8851''45'comm_5570 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'commutativeSemigroup_5572 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_5572 :: T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_5572
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_CommutativeSemigroup_332
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'commutativeSemigroup_1874
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'distrib'45''8852'_5580 ::
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45'distrib'45''8852'_5580 :: T_Σ_14
d_'8851''45'distrib'45''8852'_5580
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14)
-> Any -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8851''45'distrib'45''8852'_1876
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8851''45'distrib'691''45''8852'_5582 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'distrib'691''45''8852'_5582 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8851''45'distrib'691''45''8852'_5582 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'distrib'737''45''8852'_5584 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'distrib'737''45''8852'_5584 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8851''45'distrib'737''45''8852'_5584 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'glb_5586 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'glb_5586 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'8851''45'glb_5586
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'glb_2100
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'idem_5588 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'idem_5588 :: Integer -> T__'8801'__12
d_'8851''45'idem_5588 = Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'isBand_5596 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_'8851''45'isBand_5596 :: T_IsBand_230
d_'8851''45'isBand_5596
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsBand_230
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isBand_1852
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'isCommutativeSemigroup_5598 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_5598 :: T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_5598
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsCommutativeSemigroup_270
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isCommutativeSemigroup_1854
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'isMagma_5600 ::
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8851''45'isMagma_5600 :: T_IsMagma_86
d_'8851''45'isMagma_5600
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsMagma_86
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMagma_1848
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'isSelectiveMagma_5604 ::
MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_5604 :: T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_5604
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsSelectiveMagma_158
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSelectiveMagma_1858
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'isSemigroup_5606 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8851''45'isSemigroup_5606 :: T_IsSemigroup_194
d_'8851''45'isSemigroup_5606
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsSemigroup_194
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemigroup_1850
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'isSemilattice_5608 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
d_'8851''45'isSemilattice_5608 :: T_IsSemilattice_312
d_'8851''45'isSemilattice_5608
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsSemilattice_312
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemilattice_1856
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'magma_5610 :: MAlonzo.Code.Algebra.Bundles.T_Magma_36
d_'8851''45'magma_5610 :: T_Magma_36
d_'8851''45'magma_5610
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Magma_36
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'magma_1868
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'mono'45''8804'_5612 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'mono'45''8804'_5612 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'8851''45'mono'45''8804'_5612
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'45''8804'_2028
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'mono'691''45''8804'_5616 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'mono'691''45''8804'_5616 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8851''45'mono'691''45''8804'_5616
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'mono'737''45''8804'_5618 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'mono'737''45''8804'_5618 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8851''45'mono'737''45''8804'_5618
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'737''45''8804'_2078
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'sel_5622 ::
Integer -> Integer -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_5622 :: Integer -> Integer -> T__'8846'__30
d_'8851''45'sel_5622
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8846'__30
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> T__'8846'__30)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> T__'8846'__30
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'sel_1806
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'selectiveMagma_5624 ::
MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_90
d_'8851''45'selectiveMagma_5624 :: T_SelectiveMagma_90
d_'8851''45'selectiveMagma_5624
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_SelectiveMagma_90
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'selectiveMagma_1878
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'semigroup_5626 ::
MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
d_'8851''45'semigroup_5626 :: T_Semigroup_206
d_'8851''45'semigroup_5626
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Semigroup_206
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semigroup_1870
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'semilattice_5628 ::
MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
d_'8851''45'semilattice_5628 :: T_Semilattice_402
d_'8851''45'semilattice_5628
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Semilattice_402
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semilattice_1876
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_'8851''45'triangulate_5630 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'triangulate_5630 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8851''45'triangulate_5630 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45''8852''45'absorptive_5638 ::
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8851''45''8852''45'absorptive_5638 :: T_Σ_14
d_'8851''45''8852''45'absorptive_5638
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14)
-> Any -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8851''45''8852''45'absorptive_1956
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8851''45''8852''45'distributiveLattice_5640 ::
MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
d_'8851''45''8852''45'distributiveLattice_5640 :: T_DistributiveLattice_1228
d_'8851''45''8852''45'distributiveLattice_5640
= (T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228)
-> Any -> Any -> Any -> T_DistributiveLattice_1228
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8851''45''8852''45'distributiveLattice_1972
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8851''45''8852''45'isDistributiveLattice_5642 ::
MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
d_'8851''45''8852''45'isDistributiveLattice_5642 :: T_IsDistributiveLattice_814
d_'8851''45''8852''45'isDistributiveLattice_5642
= (T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814)
-> Any -> Any -> Any -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8851''45''8852''45'isDistributiveLattice_1962
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8851''45''8852''45'isLattice_5644 ::
MAlonzo.Code.Algebra.Structures.T_IsLattice_740
d_'8851''45''8852''45'isLattice_5644 :: T_IsLattice_740
d_'8851''45''8852''45'isLattice_5644
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740)
-> Any -> Any -> Any -> T_IsLattice_740
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8851''45''8852''45'isLattice_1960
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8851''45''8852''45'lattice_5646 ::
MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
d_'8851''45''8852''45'lattice_5646 :: T_Lattice_1144
d_'8851''45''8852''45'lattice_5646
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144)
-> Any -> Any -> Any -> T_Lattice_1144
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8851''45''8852''45'lattice_1968
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8852''45'absorbs'45''8851'_5648 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8852''45'absorbs'45''8851'_5648 :: Integer -> Integer -> T__'8801'__12
d_'8852''45'absorbs'45''8851'_5648 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'assoc_5650 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'assoc_5650 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8851''45'assoc_5650 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'band_5652 :: MAlonzo.Code.Algebra.Bundles.T_Band_266
d_'8851''45'band_5652 :: T_Band_266
d_'8851''45'band_5652
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Band_266
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Band_266
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'band_1872
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'comm_5654 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'comm_5654 :: Integer -> Integer -> T__'8801'__12
d_'8851''45'comm_5654 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'commutativeSemigroup_5656 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_5656 :: T_CommutativeSemigroup_332
d_'8851''45'commutativeSemigroup_5656
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_CommutativeSemigroup_332
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_CommutativeSemigroup_332
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'commutativeSemigroup_1874
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8852''45'distrib'45''8851'_5664 ::
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8852''45'distrib'45''8851'_5664 :: T_Σ_14
d_'8852''45'distrib'45''8851'_5664
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14)
-> Any -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8852''45'distrib'45''8851'_1908
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8852''45'distrib'691''45''8851'_5666 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8852''45'distrib'691''45''8851'_5666 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8852''45'distrib'691''45''8851'_5666 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8852''45'distrib'737''45''8851'_5668 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8852''45'distrib'737''45''8851'_5668 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8852''45'distrib'737''45''8851'_5668 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'idem_5670 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'idem_5670 :: Integer -> T__'8801'__12
d_'8851''45'idem_5670 = Integer -> T__'8801'__12
forall a. a
erased
d_'8851''45'isBand_5678 ::
MAlonzo.Code.Algebra.Structures.T_IsBand_230
d_'8851''45'isBand_5678 :: T_IsBand_230
d_'8851''45'isBand_5678
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsBand_230
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsBand_230
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isBand_1852
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'isCommutativeSemigroup_5680 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_5680 :: T_IsCommutativeSemigroup_270
d_'8851''45'isCommutativeSemigroup_5680
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsCommutativeSemigroup_270
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_IsCommutativeSemigroup_270
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isCommutativeSemigroup_1854
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'isMagma_5682 ::
MAlonzo.Code.Algebra.Structures.T_IsMagma_86
d_'8851''45'isMagma_5682 :: T_IsMagma_86
d_'8851''45'isMagma_5682
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsMagma_86
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsMagma_86
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isMagma_1848
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'isSelectiveMagma_5686 ::
MAlonzo.Code.Algebra.Structures.T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_5686 :: T_IsSelectiveMagma_158
d_'8851''45'isSelectiveMagma_5686
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsSelectiveMagma_158
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSelectiveMagma_158
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSelectiveMagma_1858
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'isSemigroup_5688 ::
MAlonzo.Code.Algebra.Structures.T_IsSemigroup_194
d_'8851''45'isSemigroup_5688 :: T_IsSemigroup_194
d_'8851''45'isSemigroup_5688
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsSemigroup_194
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemigroup_194
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemigroup_1850
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'isSemilattice_5690 ::
MAlonzo.Code.Algebra.Structures.T_IsSemilattice_312
d_'8851''45'isSemilattice_5690 :: T_IsSemilattice_312
d_'8851''45'isSemilattice_5690
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_IsSemilattice_312
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_IsSemilattice_312
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'isSemilattice_1856
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'glb_5692 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'glb_5692 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'8851''45'glb_5692
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'glb_2100
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'magma_5694 :: MAlonzo.Code.Algebra.Bundles.T_Magma_36
d_'8851''45'magma_5694 :: T_Magma_36
d_'8851''45'magma_5694
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Magma_36
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Magma_36
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'magma_1868
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'mono'45''8804'_5696 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'mono'45''8804'_5696 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'8851''45'mono'45''8804'_5696
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'45''8804'_2028
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'mono'691''45''8804'_5700 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'mono'691''45''8804'_5700 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8851''45'mono'691''45''8804'_5700
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'691''45''8804'_2088
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'mono'737''45''8804'_5702 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8851''45'mono'737''45''8804'_5702 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'8851''45'mono'737''45''8804'_5702
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'mono'737''45''8804'_2078
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'sel_5704 ::
Integer -> Integer -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'8851''45'sel_5704 :: Integer -> Integer -> T__'8846'__30
d_'8851''45'sel_5704
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8846'__30
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> T__'8846'__30)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> T__'8846'__30
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'sel_1806
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'selectiveMagma_5706 ::
MAlonzo.Code.Algebra.Bundles.T_SelectiveMagma_90
d_'8851''45'selectiveMagma_5706 :: T_SelectiveMagma_90
d_'8851''45'selectiveMagma_5706
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_SelectiveMagma_90
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_SelectiveMagma_90
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'selectiveMagma_1878
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'semigroup_5708 ::
MAlonzo.Code.Algebra.Bundles.T_Semigroup_206
d_'8851''45'semigroup_5708 :: T_Semigroup_206
d_'8851''45'semigroup_5708
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Semigroup_206
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semigroup_206
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semigroup_1870
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'semilattice_5710 ::
MAlonzo.Code.Algebra.Bundles.T_Semilattice_402
d_'8851''45'semilattice_5710 :: T_Semilattice_402
d_'8851''45'semilattice_5710
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> T_Semilattice_402
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> T_Semilattice_402
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_'8851''45'semilattice_1876
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_'8851''45'triangulate_5712 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8851''45'triangulate_5712 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'8851''45'triangulate_5712 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8852''45''8851''45'absorptive_5720 ::
MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8852''45''8851''45'absorptive_5720 :: T_Σ_14
d_'8852''45''8851''45'absorptive_5720
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14)
-> Any -> Any -> Any -> T_Σ_14
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Σ_14
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8852''45''8851''45'absorptive_1954
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8852''45''8851''45'distributiveLattice_5722 ::
MAlonzo.Code.Algebra.Bundles.T_DistributiveLattice_1228
d_'8852''45''8851''45'distributiveLattice_5722 :: T_DistributiveLattice_1228
d_'8852''45''8851''45'distributiveLattice_5722
= (T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228)
-> Any -> Any -> Any -> T_DistributiveLattice_1228
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_DistributiveLattice_1228
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8852''45''8851''45'distributiveLattice_1970
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8852''45''8851''45'isDistributiveLattice_5724 ::
MAlonzo.Code.Algebra.Structures.T_IsDistributiveLattice_814
d_'8852''45''8851''45'isDistributiveLattice_5724 :: T_IsDistributiveLattice_814
d_'8852''45''8851''45'isDistributiveLattice_5724
= (T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814)
-> Any -> Any -> Any -> T_IsDistributiveLattice_814
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84
-> T_MaxOperator_114
-> T_IsDistributiveLattice_814
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8852''45''8851''45'isDistributiveLattice_1964
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8852''45''8851''45'isLattice_5726 ::
MAlonzo.Code.Algebra.Structures.T_IsLattice_740
d_'8852''45''8851''45'isLattice_5726 :: T_IsLattice_740
d_'8852''45''8851''45'isLattice_5726
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740)
-> Any -> Any -> Any -> T_IsLattice_740
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_IsLattice_740
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8852''45''8851''45'isLattice_1958
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_'8852''45''8851''45'lattice_5728 ::
MAlonzo.Code.Algebra.Bundles.T_Lattice_1144
d_'8852''45''8851''45'lattice_5728 :: T_Lattice_1144
d_'8852''45''8851''45'lattice_5728
= (T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144)
-> Any -> Any -> Any -> T_Lattice_1144
forall a b. a -> b
coe
T_TotalPreorder_204
-> T_MinOperator_84 -> T_MaxOperator_114 -> T_Lattice_1144
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinMaxOp.du_'8852''45''8851''45'lattice_1966
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
d_'8804''45'totalPreorder_1668)
(T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
d_'8851''45'operator_5516) (T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
d_'8852''45'operator_5518)
d_mono'45''8804''45'distrib'45''8852'_5736 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_mono'45''8804''45'distrib'45''8852'_5736 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_mono'45''8804''45'distrib'45''8852'_5736 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_mono'45''8804''45'distrib'45''8851'_5746 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_mono'45''8804''45'distrib'45''8851'_5746 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_mono'45''8804''45'distrib'45''8851'_5746 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_antimono'45''8804''45'distrib'45''8851'_5756 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_antimono'45''8804''45'distrib'45''8851'_5756 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_antimono'45''8804''45'distrib'45''8851'_5756 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_antimono'45''8804''45'distrib'45''8852'_5766 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_antimono'45''8804''45'distrib'45''8852'_5766 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
d_antimono'45''8804''45'distrib'45''8852'_5766 = (Integer -> Integer)
-> (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_mono'45''60''45'distrib'45''8851'_5776 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_mono'45''60''45'distrib'45''8851'_5776 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
d_mono'45''60''45'distrib'45''8851'_5776 = (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_mono'45''60''45'distrib'45''8852'_5824 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_mono'45''60''45'distrib'45''8852'_5824 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
d_mono'45''60''45'distrib'45''8852'_5824 = (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_antimono'45''60''45'distrib'45''8852'_5872 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_antimono'45''60''45'distrib'45''8852'_5872 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
d_antimono'45''60''45'distrib'45''8852'_5872 = (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_antimono'45''60''45'distrib'45''8851'_5920 ::
(Integer -> Integer) ->
(Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50) ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_antimono'45''60''45'distrib'45''8851'_5920 :: (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
d_antimono'45''60''45'distrib'45''8851'_5920 = (Integer -> Integer)
-> (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer
-> Integer
-> T__'8801'__12
forall a. a
erased
d_neg'45'distrib'45''8852''45''8851'_5966 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'distrib'45''8852''45''8851'_5966 :: Integer -> Integer -> T__'8801'__12
d_neg'45'distrib'45''8852''45''8851'_5966 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'distrib'45''8851''45''8852'_5972 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_neg'45'distrib'45''8851''45''8852'_5972 :: Integer -> Integer -> T__'8801'__12
d_neg'45'distrib'45''8851''45''8852'_5972 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'737''45''8851''45'nonNeg_5980 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'737''45''8851''45'nonNeg_5980 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'737''45''8851''45'nonNeg_5980 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'691''45''8851''45'nonNeg_5990 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'691''45''8851''45'nonNeg_5990 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'691''45''8851''45'nonNeg_5990 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'737''45''8851''45'nonPos_6008 ::
Integer ->
AgdaAny ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'737''45''8851''45'nonPos_6008 :: Integer -> Any -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'737''45''8851''45'nonPos_6008 = Integer -> Any -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'691''45''8851''45'nonPos_6026 ::
Integer ->
AgdaAny ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'691''45''8851''45'nonPos_6026 :: Integer -> Any -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'691''45''8851''45'nonPos_6026 = Integer -> Any -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'737''45''8852''45'nonNeg_6046 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'737''45''8852''45'nonNeg_6046 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'737''45''8852''45'nonNeg_6046 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'691''45''8852''45'nonNeg_6060 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'691''45''8852''45'nonNeg_6060 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'691''45''8852''45'nonNeg_6060 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'737''45''8852''45'nonPos_6078 ::
Integer ->
AgdaAny ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'737''45''8852''45'nonPos_6078 :: Integer -> Any -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'737''45''8852''45'nonPos_6078 = Integer -> Any -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'42''45'distrib'691''45''8852''45'nonPos_6096 ::
Integer ->
AgdaAny ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'42''45'distrib'691''45''8852''45'nonPos_6096 :: Integer -> Any -> Integer -> Integer -> T__'8801'__12
d_'42''45'distrib'691''45''8852''45'nonPos_6096 = Integer -> Any -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_inverse'737'_6110 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_inverse'737'_6110 :: Integer -> T__'8801'__12
d_inverse'737'_6110 = Integer -> T__'8801'__12
forall a. a
erased
d_inverse'691'_6112 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_inverse'691'_6112 :: Integer -> T__'8801'__12
d_inverse'691'_6112 = Integer -> T__'8801'__12
forall a. a
erased
d_distrib'691'_6114 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_distrib'691'_6114 :: Integer -> Integer -> Integer -> T__'8801'__12
d_distrib'691'_6114 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_isCommutativeSemiring_6116 ::
MAlonzo.Code.Algebra.Structures.T_IsCommutativeSemiring_1344
d_isCommutativeSemiring_6116 :: T_IsCommutativeSemiring_1344
d_isCommutativeSemiring_6116
= T_IsCommutativeSemiring_1344 -> T_IsCommutativeSemiring_1344
forall a b. a -> b
coe T_IsCommutativeSemiring_1344
d_'43''45''42''45'isCommutativeSemiring_4600
d_commutativeRing_6118 ::
MAlonzo.Code.Algebra.Bundles.T_CommutativeRing_2704
d_commutativeRing_6118 :: T_CommutativeRing_2704
d_commutativeRing_6118 = T_CommutativeRing_2704 -> T_CommutativeRing_2704
forall a b. a -> b
coe T_CommutativeRing_2704
d_'43''45''42''45'commutativeRing_4622
d_'42''45''43''45'right'45'mono_6120 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45''43''45'right'45'mono_6120 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45''43''45'right'45'mono_6120
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'pos_5022
d_cancel'45''42''45''43''45'right'45''8804'_6122 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_cancel'45''42''45''43''45'right'45''8804'_6122 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_cancel'45''42''45''43''45'right'45''8804'_6122 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
du_'42''45'cancel'691''45''8804''45'pos_4978 Integer
v0 Integer
v1 T__'8804'__26
v3
d_cancel'45''42''45'right_6124 ::
Integer ->
Integer ->
Integer ->
(MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_cancel'45''42''45'right_6124 :: Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
d_cancel'45''42''45'right_6124 = Integer
-> Integer
-> Integer
-> (T__'8801'__12 -> T_'8869'_4)
-> T__'8801'__12
-> T__'8801'__12
forall a. a
erased
d_doubleNeg_6126 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_doubleNeg_6126 :: Integer -> T__'8801'__12
d_doubleNeg_6126 = Integer -> T__'8801'__12
forall a. a
erased
d_'45''8255'involutive_6128 ::
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'45''8255'involutive_6128 :: Integer -> T__'8801'__12
d_'45''8255'involutive_6128 = Integer -> T__'8801'__12
forall a. a
erased
d_'43''45''8854''45'left'45'cancel_6130 ::
Integer ->
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'43''45''8854''45'left'45'cancel_6130 :: Integer -> Integer -> Integer -> T__'8801'__12
d_'43''45''8854''45'left'45'cancel_6130 = Integer -> Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_'8816''8594''62'_6132 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'8816''8594''62'_6132 :: Integer -> Integer -> (T__'8804'__26 -> T_'8869'_4) -> T__'60'__50
d_'8816''8594''62'_6132 Integer
v0 Integer
v1 T__'8804'__26 -> T_'8869'_4
v2
= (Integer -> Integer -> T__'60'__50)
-> Integer -> Integer -> T__'60'__50
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50
du_'8816''8658''62'_1752 Integer
v0 Integer
v1
d_'8804''45'irrelevance_6134 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8804''45'irrelevance_6134 :: Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
d_'8804''45'irrelevance_6134 = Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_'60''45'irrelevance_6136 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'60''45'irrelevance_6136 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'8801'__12
d_'60''45'irrelevance_6136 = Integer -> Integer -> T__'60'__50 -> T__'60'__50 -> T__'8801'__12
forall a. a
erased
d_'45''60''8242''43'_6142 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'45''60''8242''43'_6142 :: Integer -> Integer -> T__'8804'__26
d_'45''60''8242''43'_6142 Integer
v0 ~Integer
v1 = Integer -> T__'8804'__26
du_'45''60''8242''43'_6142 Integer
v0
du_'45''60''8242''43'_6142 ::
Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'45''60''8242''43'_6142 :: Integer -> T__'8804'__26
du_'45''60''8242''43'_6142 Integer
v0
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
0 -> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22)
Integer
_ -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40
d_'60''8242''45'irrefl_6144 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'60''8242''45'irrefl_6144 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26 -> T_'8869'_4
d_'60''8242''45'irrefl_6144 = Integer -> Integer -> T__'8801'__12 -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'62''8242''45'irrefl_6154 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'62''8242''45'irrefl_6154 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26 -> T_'8869'_4
d_'62''8242''45'irrefl_6154 = Integer -> Integer -> T__'8801'__12 -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'60''8242''45'asym_6156 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'60''8242''45'asym_6156 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26 -> T_'8869'_4
d_'60''8242''45'asym_6156 = Integer -> Integer -> T__'8804'__26 -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'8804''45''60''8242''45'trans_6174 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8804''45''60''8242''45'trans_6174 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'8804''45''60''8242''45'trans_6174 Integer
v0 Integer
v1 ~Integer
v2 T__'8804'__26
v3 T__'8804'__26
v4
= Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45''60''8242''45'trans_6174 Integer
v0 Integer
v1 T__'8804'__26
v3 T__'8804'__26
v4
du_'8804''45''60''8242''45'trans_6174 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8804''45''60''8242''45'trans_6174 :: Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45''60''8242''45'trans_6174 Integer
v0 Integer
v1 T__'8804'__26
v2 T__'8804'__26
v3
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v6
-> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v3 of
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48 T__'8804'__18
v9
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''45'trans_1642
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v6) (T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
v9))
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
T__'8804'__26
_ -> T__'8804'__26
forall a. a
MAlonzo.RTE.mazUnreachableError
Any
_ -> let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)
((Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe Any -> Any -> Any
forall a b. a -> b -> b
seq (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3) ((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
du_'45''60''8242''43'_6142 (Integer -> Any
forall a b. a -> b
coe Integer
v4)))
Any
_ -> case T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v2 of
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34 T__'8804'__18
v7
-> (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586
((Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__18 -> T__'8804'__26
d_'8854''45'mono'691''45''8805''45''8804'_2892 (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
subInt (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T__'8804'__18 -> T__'8804'__18) -> T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_s'8804's_30 T__'8804'__18
v7))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)
T__'8804'__26
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)
d_'60''8242''45''8804''45'trans_6202 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'60''8242''45''8804''45'trans_6202 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'60''8242''45''8804''45'trans_6202 ~Integer
v0 ~Integer
v1 ~Integer
v2
= T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45''8804''45'trans_6202
du_'60''8242''45''8804''45'trans_6202 ::
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'60''8242''45''8804''45'trans_6202 :: T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45''8804''45'trans_6202 = (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586
d_'60''8242''8658''8804'_6208 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'60''8242''8658''8804'_6208 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'60''8242''8658''8804'_6208 Integer
v0 ~Integer
v1 T__'8804'__26
v2
= Integer -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''8658''8804'_6208 Integer
v0 T__'8804'__26
v2
du_'60''8242''8658''8804'_6208 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'60''8242''8658''8804'_6208 :: Integer -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''8658''8804'_6208 Integer
v0 T__'8804'__26
v1
= (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45'trans_1586 ((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
d_n'8804'1'43'n_3860 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v1)
d_'60''8242''45'trans_6212 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'60''8242''45'trans_6212 :: Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'60''8242''45'trans_6212 Integer
v0 Integer
v1 ~Integer
v2 T__'8804'__26
v3 T__'8804'__26
v4
= Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45'trans_6212 Integer
v0 Integer
v1 T__'8804'__26
v3 T__'8804'__26
v4
du_'60''8242''45'trans_6212 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'60''8242''45'trans_6212 :: Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45'trans_6212 Integer
v0 Integer
v1 T__'8804'__26
v2 T__'8804'__26
v3
= (Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45''60''8242''45'trans_6174 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((Integer -> T__'8804'__26 -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''8658''8804'_6208 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)
d_'60''8242''45'cmp_6224 ::
Integer ->
Integer -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_136
d_'60''8242''45'cmp_6224 :: Integer -> Integer -> T_Tri_136
d_'60''8242''45'cmp_6224 Integer
v0 Integer
v1
= case Integer -> Integer
forall a b. a -> b
coe Integer
v0 of
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
let v2 :: t
v2
= ((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> t
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
Any
forall a. a
erased
((Bool -> T_Dec_32) -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Bool
eqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))) in
Any -> T_Tri_136
forall a b. a -> b
coe
(let v3 :: T_Dec_32
v3
= Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
ltInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Dec_32
forall a b. a -> b
coe Any
forall a. a
v2 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v4 T_Reflects_14
v5
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v4
then (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v5)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased)
else (let v6 :: b
v6
= Any -> b -> b
forall a b. a -> b -> b
seq
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v5)
(case T_Dec_32 -> T_Dec_32
forall a b. a -> b
coe T_Dec_32
v3 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v6 T_Reflects_14
v7
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v6
then (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''7495''8658''60'_1566
(Integer -> Any
forall a b. a -> b
coe Integer
v0)))
else (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''8743''8802''8658''60'_1800
(Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8814''8658''8805'_1784
(Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))))
T_Dec_32
_ -> b
forall a. a
MAlonzo.RTE.mazUnreachableError) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Tri_136
forall a b. a -> b
coe Any
forall a. a
v6 of
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150 Any
v7
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
Any
v7)
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158 Any
v8
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166 Any
v9
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
Any
v9)
T_Tri_136
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
T_Dec_32
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
-1
-> (Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ -> (Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
-1
-> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
-1
-> (Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158 Any
forall a. a
erased
Integer
_ -> (Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ -> case Integer -> Integer
forall a b. a -> b
coe Integer
v1 of
Integer
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''43'_40)
-1
-> (Any -> T_Tri_136) -> Any -> T_Tri_136
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
(T__'8804'__18 -> Any
forall a b. a -> b
coe T__'8804'__18
MAlonzo.Code.Data.Nat.Base.C_z'8804'n_22))
Integer
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T_Tri_136
forall a b. a -> b
coe
(let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(let v4 :: t
v4
= ((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> Any -> Any -> t
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
Any
forall a. a
erased
((Bool -> T_Dec_32) -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Bool
eqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1))) in
Any -> Any
forall a b. a -> b
coe
(let v5 :: T_Dec_32
v5
= Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
ltInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v0)) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Dec_32
forall a b. a -> b
coe Any
forall a. a
v4 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v6 T_Reflects_14
v7
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v6
then (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased)
else (let v8 :: b
v8
= Any -> b -> b
forall a b. a -> b -> b
seq
(T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
(case T_Dec_32 -> T_Dec_32
forall a b. a -> b
coe T_Dec_32
v5 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v8 T_Reflects_14
v9
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v8
then (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v9)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'60''7495''8658''60'_1566
(Integer -> Any
forall a b. a -> b
coe Integer
v2)))
else (Any -> Any -> Any) -> Any -> Any -> b
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v9)
((Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((Integer -> T__'8804'__18 -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''8743''8802''8658''60'_1800
(Integer -> Any
forall a b. a -> b
coe Integer
v2)
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8814''8658''8805'_1784
(Integer -> Any
forall a b. a -> b
coe Integer
v2)
(Integer -> Any
forall a b. a -> b
coe Integer
v3))))
T_Dec_32
_ -> b
forall a. a
MAlonzo.RTE.mazUnreachableError) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Tri_136
forall a b. a -> b
coe Any
forall a. a
v8 of
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150 Any
v9
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
(Any -> Any
forall a b. a -> b
coe Any
v9)))
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158 Any
v10
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'8776'_158
Any
forall a. a
erased
MAlonzo.Code.Relation.Binary.Definitions.C_tri'62'_166 Any
v11
-> (Any -> T_Tri_136) -> Any -> Any
forall a b. a -> b
coe
Any -> T_Tri_136
MAlonzo.Code.Relation.Binary.Definitions.C_tri'60'_150
((T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
((T__'8804'__18 -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.Core.du_'8804''45'pred_12
(Any -> Any
forall a b. a -> b
coe Any
v11)))
T_Tri_136
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))
T_Dec_32
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError))))
d_'60''8242''45'isStrictPartialOrder_6318 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
d_'60''8242''45'isStrictPartialOrder_6318 :: T_IsStrictPartialOrder_266
d_'60''8242''45'isStrictPartialOrder_6318
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> T_IsStrictPartialOrder_266)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> T_IsStrictPartialOrder_266
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> T_Σ_14
-> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.C_IsStrictPartialOrder'46'constructor_13145
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45'trans_6212 Any
v0 Any
v1 Any
v3 Any
v4)
((Any -> Any -> T_Σ_14) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
((Any -> Any -> Any -> Any -> Any -> Any) -> Any
forall a b. a -> b
coe (\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> Any
v4)) ((Any -> Any -> Any -> Any -> Any -> Any) -> Any
forall a b. a -> b
coe (\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> Any
v4)))
d_'60''8242''45'strictPartialOrder_6328 ::
MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_472
d_'60''8242''45'strictPartialOrder_6328 :: T_StrictPartialOrder_472
d_'60''8242''45'strictPartialOrder_6328
= (T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472)
-> T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
forall a b. a -> b
coe
T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
MAlonzo.Code.Relation.Binary.Bundles.C_StrictPartialOrder'46'constructor_8957
T_IsStrictPartialOrder_266
d_'60''8242''45'isStrictPartialOrder_6318
d_'60''8242''45'isStrictTotalOrder_6330 ::
MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_502
d_'60''8242''45'isStrictTotalOrder_6330 :: T_IsStrictTotalOrder_502
d_'60''8242''45'isStrictTotalOrder_6330
= (T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> (Any -> Any -> T_Tri_136)
-> T_IsStrictTotalOrder_502)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> T_IsStrictTotalOrder_502
forall a b. a -> b
coe
T_IsEquivalence_26
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> (Any -> Any -> T_Tri_136)
-> T_IsStrictTotalOrder_502
MAlonzo.Code.Relation.Binary.Structures.C_IsStrictTotalOrder'46'constructor_23999
(T_IsEquivalence_26 -> Any
forall a b. a -> b
coe
T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.PropositionalEquality.Properties.du_isEquivalence_242)
(\ Any
v0 Any
v1 Any
v2 Any
v3 Any
v4 -> (Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45'trans_6212 Any
v0 Any
v1 Any
v3 Any
v4)
((Integer -> Integer -> T_Tri_136) -> Any
forall a b. a -> b
coe Integer -> Integer -> T_Tri_136
d_'60''8242''45'cmp_6224)
d_'60''8242''45'strictTotalOrder_6334 ::
MAlonzo.Code.Relation.Binary.Bundles.T_StrictTotalOrder_864
d_'60''8242''45'strictTotalOrder_6334 :: T_StrictTotalOrder_864
d_'60''8242''45'strictTotalOrder_6334
= (T_IsStrictTotalOrder_502 -> T_StrictTotalOrder_864)
-> T_IsStrictTotalOrder_502 -> T_StrictTotalOrder_864
forall a b. a -> b
coe
T_IsStrictTotalOrder_502 -> T_StrictTotalOrder_864
MAlonzo.Code.Relation.Binary.Bundles.C_StrictTotalOrder'46'constructor_16739
T_IsStrictTotalOrder_502
d_'60''8242''45'isStrictTotalOrder_6330
d_n'8814''8242'n_6338 ::
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_n'8814''8242'n_6338 :: Integer -> T__'8804'__26 -> T_'8869'_4
d_n'8814''8242'n_6338 = Integer -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'62''8242''8658''8816''8242'_6352 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4
d_'62''8242''8658''8816''8242'_6352 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26 -> T_'8869'_4
d_'62''8242''8658''8816''8242'_6352 = Integer -> Integer -> T__'8804'__26 -> T__'8804'__26 -> T_'8869'_4
forall a. a
erased
d_'8816''8658''62''8242'_6364 ::
Integer ->
Integer ->
(MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Empty.T_'8869'_4) ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'8816''8658''62''8242'_6364 :: Integer
-> Integer -> (T__'8804'__26 -> T_'8869'_4) -> T__'8804'__26
d_'8816''8658''62''8242'_6364 Integer
v0 Integer
v1 ~T__'8804'__26 -> T_'8869'_4
v2
= Integer -> Integer -> T__'8804'__26
du_'8816''8658''62''8242'_6364 Integer
v0 Integer
v1
du_'8816''8658''62''8242'_6364 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
du_'8816''8658''62''8242'_6364 :: Integer -> Integer -> T__'8804'__26
du_'8816''8658''62''8242'_6364 Integer
v0 Integer
v1
= case Integer -> Any
forall a b. a -> b
coe Integer
v0 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
(T__'8804'__18 -> T__'8804'__26) -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'43''8804''43'_48
((Integer -> Integer -> T__'8804'__18) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8816''8658''62'_1770 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> T__'8804'__26
forall a b. a -> b
coe ((Integer -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe Integer -> T__'8804'__26
du_'45''60''8242''43'_6142 (Integer -> Any
forall a b. a -> b
coe Integer
v2))
Any
_ -> let v2 :: Integer
v2 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) in
Any -> T__'8804'__26
forall a b. a -> b
coe
(case Integer -> Any
forall a b. a -> b
coe Integer
v1 of
Any
_ | (Integer -> Integer -> Bool) -> Any -> Any -> Bool
forall a b. a -> b
coe Integer -> Integer -> Bool
geqInt (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe (Integer
0 :: Integer)) ->
Any -> Any
forall a b. a -> b
coe Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24
Any
_ -> let v3 :: Integer
v3 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
1 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> Any
forall a b. a -> b
coe
(let v4 :: b
v4
= let v4 :: Integer
v4 = Integer -> Integer -> Integer
subInt (Integer -> Integer
forall a b. a -> b
coe (-Integer
2 :: Integer)) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) in
Any -> b
forall a b. a -> b
coe
(let v5 :: t
v5
= ((Any -> Any) -> T_Dec_32 -> T_Dec_32) -> (Any -> Any) -> Any -> t
forall a b. a -> b
coe
(Any -> Any) -> T_Dec_32 -> T_Dec_32
MAlonzo.Code.Relation.Nullary.Decidable.Core.du_map'8242'_168
(\ Any
v5 ->
(Integer -> T__'8804'__18) -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__18
MAlonzo.Code.Data.Nat.Properties.du_'8804''7495''8658''8804'_1600
(Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Bool -> T_Dec_32) -> Any -> Any
forall a b. a -> b
coe
Bool -> T_Dec_32
MAlonzo.Code.Data.Bool.Properties.d_T'63'_2210
((Integer -> Integer -> Bool) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Bool
MAlonzo.Code.Data.Nat.Base.d__'8804''7495'__10
(Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v4))) in
Any -> Any
forall a b. a -> b
coe
(case Any -> T_Dec_32
forall a b. a -> b
coe Any
forall a. a
v5 of
MAlonzo.Code.Relation.Nullary.C__because__46 Bool
v6 T_Reflects_14
v7
-> if Bool -> Bool
forall a b. a -> b
coe Bool
v6
then case T_Reflects_14 -> T_Reflects_14
forall a b. a -> b
coe T_Reflects_14
v7 of
MAlonzo.Code.Relation.Nullary.C_of'696'_22 Any
v8
-> (T__'8804'__18 -> T__'8804'__26) -> Any -> Any
forall a b. a -> b
coe
T__'8804'__18 -> T__'8804'__26
MAlonzo.Code.Data.Integer.Base.C_'45''8804''45'_34
Any
v8
T_Reflects_14
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError
else (Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (T_Reflects_14 -> Any
forall a b. a -> b
coe T_Reflects_14
v7)
(Any -> Any
forall a b. a -> b
coe
Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24)
T_Dec_32
_ -> Any
forall a. a
MAlonzo.RTE.mazUnreachableError)) in
Any -> Any
forall a b. a -> b
coe
((Any -> Any -> Any) -> Any -> Any -> Any
forall a b. a -> b
coe
Any -> Any -> Any
forall a b. a -> b -> b
seq (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(case Integer -> Integer
forall a b. a -> b
coe Integer
v3 of
Integer
0 -> Any -> Any
forall a b. a -> b
coe
Any
MAlonzo.Code.Relation.Nullary.Negation.Core.du_contradiction_24
Integer
_ -> Any -> Any
forall a b. a -> b
coe Any
forall a. a
v4))))
d_'60''8242''45'irrelevant_6410 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'60''8242''45'irrelevant_6410 :: Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
d_'60''8242''45'irrelevant_6410 = Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_'43''45'mono'737''45''60''8242'_6416 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'737''45''60''8242'_6416 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''60''8242'_6416 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 (Integer -> Any
forall a b. a -> b
coe Integer
v0)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))
(Integer -> Any
forall a b. a -> b
coe Integer
v1))
(Integer -> Any
forall a b. a -> b
coe Integer
v2) (T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)
d_'43''45'mono'691''45''60''8242'_6432 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'691''45''60''8242'_6432 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''60''8242'_6432 Integer
v0 Integer
v1 Integer
v2 T__'8804'__26
v3
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''60''8242'_6416 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v3)
d_'43''45'mono'45''60''8242'_6450 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'45''60''8242'_6450 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'43''45'mono'45''60''8242'_6450 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v4 T__'8804'__26
v5
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v9 Any
v10)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v6 Any
v7 Any
v8 Any
v9 Any
v10 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v9 Any
v10)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2)))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v3)))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''60''8242'_6432 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v5)))
((Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_suc'45'mono_3890
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v6 Any
v7 -> Any
v7)
(\ Any
v6 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Any -> Integer
forall a b. a -> b
coe Any
v6) (Integer -> Integer
forall a b. a -> b
coe Integer
v2))
Integer
v0 Integer
v1)
((Integer -> T__'8804'__26 -> T__'8804'__26) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''8658''8804'_6208
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v2))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''60''8242'_6416 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v4)))))
d_'43''45'mono'45''8804''45''60''8242'_6468 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'45''8804''45''60''8242'_6468 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'43''45'mono'45''8804''45''60''8242'_6468 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v4 T__'8804'__26
v5
= (Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
Integer
-> Integer -> T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'8804''45''60''8242''45'trans_6174
(((Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any)
-> (Any -> Integer)
-> (Any -> Any -> Any)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any) -> (Any -> Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du__'45''10216'_'8739'_302
(\ Any
v6 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Any -> Integer
forall a b. a -> b
coe Any
v6) (Integer -> Integer
forall a b. a -> b
coe Integer
v2))
(\ Any
v6 Any
v7 -> Any
v6) Integer
v0 Integer
v1)
(((Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any)
-> (Any -> Any -> Any)
-> (Any -> Integer)
-> Integer
-> Integer
-> Any
forall a b. a -> b
coe
(Any -> Any -> Any) -> (Any -> Any) -> Any -> Any -> Any
MAlonzo.Code.Function.Base.du_'8739'_'10217''45'__308
(\ Any
v6 Any
v7 -> Any
v7)
(\ Any
v6 ->
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Any -> Integer
forall a b. a -> b
coe Any
v6) (Integer -> Integer
forall a b. a -> b
coe Integer
v2))
Integer
v0 Integer
v1)
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''8804'_3422 (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v0) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v4))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''60''8242'_6432 (Integer -> Any
forall a b. a -> b
coe Integer
v1) (Integer -> Any
forall a b. a -> b
coe Integer
v2) (Integer -> Any
forall a b. a -> b
coe Integer
v3)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v5))
d_'43''45'mono'45''60''8242''45''8804'_6482 ::
Integer ->
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'43''45'mono'45''60''8242''45''8804'_6482 :: Integer
-> Integer
-> Integer
-> Integer
-> T__'8804'__26
-> T__'8804'__26
-> T__'8804'__26
d_'43''45'mono'45''60''8242''45''8804'_6482 Integer
v0 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v4 T__'8804'__26
v5
= (T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26)
-> T__'8804'__26 -> Any -> T__'8804'__26
forall a b. a -> b
coe
T__'8804'__26 -> T__'8804'__26 -> T__'8804'__26
du_'60''8242''45''8804''45'trans_6202
(Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'737''45''60''8242'_6416
(Integer -> Integer
forall a b. a -> b
coe Integer
v2) (Integer -> Integer
forall a b. a -> b
coe Integer
v0) (Integer -> Integer
forall a b. a -> b
coe Integer
v1) (T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe T__'8804'__26
v4))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> Any
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 Integer
v1 Integer
v2 Integer
v3 T__'8804'__26
v5)
d_m'8804'pred'91'n'93''8658'm'60''8242'n_6500 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8804'pred'91'n'93''8658'm'60''8242'n_6500 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_m'8804'pred'91'n'93''8658'm'60''8242'n_6500 Integer
v0 Integer
v1 T__'8804'__26
v2
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v6 Any
v7)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (Integer -> Any
forall a b. a -> b
coe Integer
v0))
((Integer -> Integer -> Integer) -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d__'43'__242 (Integer -> Any
forall a b. a -> b
coe (Integer
1 :: Integer))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
(Integer -> Any
forall a b. a -> b
coe Integer
v1)
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> Any
forall a b. a -> b
coe
Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'43''45'mono'691''45''8804'_3412 (Integer
1 :: Integer) Integer
v0
(Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270 (Integer -> Integer
forall a b. a -> b
coe Integer
v1)) T__'8804'__26
v2))
d_m'60''8242'n'8658'm'8804'pred'91'n'93'_6518 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'60''8242'n'8658'm'8804'pred'91'n'93'_6518 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_m'60''8242'n'8658'm'8804'pred'91'n'93'_6518 Integer
v0 Integer
v1 T__'8804'__26
v2
= (T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any)
-> Any -> Any -> Any -> Any -> Any -> T__'8804'__26
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any)
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_begin__160
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656) ((Integer -> Integer -> T__'60'__50 -> T__'8804'__26) -> Any
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'8804'__26
d_'60''8658''8804'_1724)
(Integer -> Any
forall a b. a -> b
coe Integer
v0) ((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70)
-> Any
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> Any
-> Any
-> Any
forall a b. a -> b
coe
T_IsPreorder_70
-> (Any -> Any -> Any -> Any -> Any -> Any)
-> Any
-> Any
-> Any
-> T__IsRelatedTo__70
-> Any
-> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du_step'45''8804'_228
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
(\ Any
v3 Any
v4 Any
v5 Any
v6 Any
v7 -> (T__'8804'__26 -> T__'60'__50 -> T__'60'__50) -> Any -> Any -> Any
forall a b. a -> b
coe T__'8804'__26 -> T__'60'__50 -> T__'60'__50
du_'8804''45''60''45'trans_1844 Any
v6 Any
v7)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (Integer -> Any
forall a b. a -> b
coe Integer
v0)))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270 (Integer -> Any
forall a b. a -> b
coe Integer
v1))
((T_IsPreorder_70 -> Any -> T__IsRelatedTo__70) -> Any -> Any -> Any
forall a b. a -> b
coe
T_IsPreorder_70 -> Any -> T__IsRelatedTo__70
MAlonzo.Code.Relation.Binary.Reasoning.Base.Triple.du__'8718'_346
(T_IsPreorder_70 -> Any
forall a b. a -> b
coe T_IsPreorder_70
d_'8804''45'isPreorder_1656)
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_pred_270 (Integer -> Any
forall a b. a -> b
coe Integer
v1)))
((Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Any -> Any -> Any -> Any
forall a b. a -> b
coe
Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_pred'45'mono_4056
((Integer -> Integer) -> Any -> Any
forall a b. a -> b
coe Integer -> Integer
MAlonzo.Code.Data.Integer.Base.d_suc_266 (Integer -> Any
forall a b. a -> b
coe Integer
v0)) (Integer -> Any
forall a b. a -> b
coe Integer
v1)
(T__'8804'__26 -> Any
forall a b. a -> b
coe T__'8804'__26
v2)))
d_'91'1'43'm'93''42'n'8801'n'43'm'42'n_6530 ::
Integer ->
Integer -> MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'91'1'43'm'93''42'n'8801'n'43'm'42'n_6530 :: Integer -> Integer -> T__'8801'__12
d_'91'1'43'm'93''42'n'8801'n'43'm'42'n_6530 = Integer -> Integer -> T__'8801'__12
forall a. a
erased
d_neg'45'mono'45''60''45''62'_6532 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_neg'45'mono'45''60''45''62'_6532 :: Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_neg'45'mono'45''60''45''62'_6532 = (Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer -> Integer -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_neg'45'mono'45''60'_2144
d_neg'45'mono'45''8804''45''8805'_6534 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_neg'45'mono'45''8804''45''8805'_6534 :: Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_neg'45'mono'45''8804''45''8805'_6534 Integer
v0 Integer
v1 T__'8804'__26
v2
= (Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> T__'8804'__26 -> T__'8804'__26
du_neg'45'mono'45''8804'_3730 Integer
v1 T__'8804'__26
v2
d_'42''45'mono'691''45''8804''45'non'45'neg_6536 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'691''45''8804''45'non'45'neg_6536 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'non'45'neg_6536
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'691''45''8804''45'nonNeg_5044
d_'42''45'mono'737''45''8804''45'non'45'neg_6538 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_'42''45'mono'737''45''8804''45'non'45'neg_6538 :: Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'non'45'neg_6538
= (Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26)
-> Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'8804'__26 -> T__'8804'__26
d_'42''45'mono'737''45''8804''45'nonNeg_5066
d_'42''45'cancel'737''45''60''45'non'45'neg_6540 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'737''45''60''45'non'45'neg_6540 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'non'45'neg_6540
= (Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'737''45''60''45'nonNeg_5252
d_'42''45'cancel'691''45''60''45'non'45'neg_6542 ::
Integer ->
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50 ->
MAlonzo.Code.Data.Integer.Base.T__'60'__50
d_'42''45'cancel'691''45''60''45'non'45'neg_6542 :: Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'691''45''60''45'non'45'neg_6542
= (Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50)
-> Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
forall a b. a -> b
coe Integer -> Integer -> Integer -> T__'60'__50 -> T__'60'__50
d_'42''45'cancel'691''45''60''45'nonNeg_5292
d_m'8804'n'8658'm'8851'n'8801'm_6544 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'8804'n'8658'm'8851'n'8801'm_6544 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_m'8804'n'8658'm'8851'n'8801'm_6544 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_m'8851'n'8801'm'8658'm'8804'n_6546 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8851'n'8801'm'8658'm'8804'n_6546 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_m'8851'n'8801'm'8658'm'8804'n_6546
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_1890
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_m'8805'n'8658'm'8851'n'8801'n_6548 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'8805'n'8658'm'8851'n'8801'n_6548 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_m'8805'n'8658'm'8851'n'8801'n_6548 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_m'8851'n'8801'n'8658'm'8805'n_6550 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8851'n'8801'n'8658'm'8805'n_6550 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_m'8851'n'8801'n'8658'm'8805'n_6550
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_1922
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_m'8851'n'8804'n_6552 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8851'n'8804'n_6552 :: Integer -> Integer -> T__'8804'__26
d_m'8851'n'8804'n_6552
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_1652
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_m'8851'n'8804'm_6554 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8851'n'8804'm_6554 :: Integer -> Integer -> T__'8804'__26
d_m'8851'n'8804'm_6554
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MinOperator_84
v1 = T_MinOperator_84
d_'8851''45'operator_5516 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0) (T_MinOperator_84 -> Any
forall a b. a -> b
coe T_MinOperator_84
v1)))
d_m'8804'n'8658'm'8852'n'8801'n_6556 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'8804'n'8658'm'8852'n'8801'n_6556 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_m'8804'n'8658'm'8852'n'8801'n_6556 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_m'8852'n'8801'n'8658'm'8804'n_6558 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8852'n'8801'n'8658'm'8804'n_6558 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_m'8852'n'8801'n'8658'm'8804'n_6558
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'y'8658'y'8804'x_1922
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_m'8805'n'8658'm'8852'n'8801'm_6560 ::
Integer ->
Integer ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26 ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_m'8805'n'8658'm'8852'n'8801'm_6560 :: Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
d_m'8805'n'8658'm'8852'n'8801'm_6560 = Integer -> Integer -> T__'8804'__26 -> T__'8801'__12
forall a. a
erased
d_m'8852'n'8801'm'8658'm'8805'n_6562 ::
Integer ->
Integer ->
MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8852'n'8801'm'8658'm'8805'n_6562 :: Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
d_m'8852'n'8801'm'8658'm'8805'n_6562
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8801'__12 -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204
-> T_MinOperator_84 -> Any -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8776'x'8658'x'8804'y_1890
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_m'8804'm'8852'n_6564 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_m'8804'm'8852'n_6564 :: Integer -> Integer -> T__'8804'__26
d_m'8804'm'8852'n_6564
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'x_1626
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))
d_n'8804'm'8852'n_6566 ::
Integer -> Integer -> MAlonzo.Code.Data.Integer.Base.T__'8804'__26
d_n'8804'm'8852'n_6566 :: Integer -> Integer -> T__'8804'__26
d_n'8804'm'8852'n_6566
= let v0 :: T_TotalPreorder_204
v0 = T_TotalPreorder_204
d_'8804''45'totalPreorder_1668 in
Any -> Integer -> Integer -> T__'8804'__26
forall a b. a -> b
coe
(let v1 :: T_MaxOperator_114
v1 = T_MaxOperator_114
d_'8852''45'operator_5518 in
Any -> Any
forall a b. a -> b
coe
((T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any)
-> Any -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_MinOperator_84 -> Any -> Any -> Any
MAlonzo.Code.Algebra.Construct.NaturalChoice.MinOp.du_x'8851'y'8804'y_1652
((T_TotalPreorder_204 -> T_TotalPreorder_204) -> Any -> Any
forall a b. a -> b
coe
T_TotalPreorder_204 -> T_TotalPreorder_204
MAlonzo.Code.Relation.Binary.Construct.Converse.du_totalPreorder_718
(T_TotalPreorder_204 -> Any
forall a b. a -> b
coe T_TotalPreorder_204
v0))
((T_MaxOperator_114 -> T_MinOperator_84) -> Any -> Any
forall a b. a -> b
coe
T_MaxOperator_114 -> T_MinOperator_84
MAlonzo.Code.Algebra.Construct.NaturalChoice.Base.du_MaxOp'8658'MinOp_160
(T_MaxOperator_114 -> Any
forall a b. a -> b
coe T_MaxOperator_114
v1))))