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

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

module MAlonzo.Code.Algebra.Consequences.Setoid where

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

-- Algebra.Consequences.Setoid._._DistributesOverʳ_
d__DistributesOver'691'__40 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'691'__40 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d__DistributesOver'691'__40 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._._DistributesOverˡ_
d__DistributesOver'737'__42 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d__DistributesOver'737'__42 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d__DistributesOver'737'__42 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.AlmostLeftCancellative
d_AlmostLeftCancellative_50 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_AlmostLeftCancellative_50 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_AlmostLeftCancellative_50 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.AlmostRightCancellative
d_AlmostRightCancellative_52 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_AlmostRightCancellative_52 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_AlmostRightCancellative_52 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.Associative
d_Associative_54 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Associative_54 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_Associative_54 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.Commutative
d_Commutative_58 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Commutative_58 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_Commutative_58 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.Congruent₂
d_Congruent'8322'_62 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Congruent'8322'_62 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_Congruent'8322'_62 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.Identity
d_Identity_70 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_Identity_70 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_Identity_70 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.LeftCancellative
d_LeftCancellative_78 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftCancellative_78 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_LeftCancellative_78 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.LeftIdentity
d_LeftIdentity_84 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftIdentity_84 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_LeftIdentity_84 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.LeftInverse
d_LeftInverse_86 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftInverse_86 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_LeftInverse_86 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.LeftZero
d_LeftZero_88 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_LeftZero_88 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_LeftZero_88 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.RightCancellative
d_RightCancellative_90 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightCancellative_90 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_RightCancellative_90 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.RightIdentity
d_RightIdentity_96 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightIdentity_96 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_RightIdentity_96 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.RightInverse
d_RightInverse_98 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightInverse_98 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_RightInverse_98 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.RightZero
d_RightZero_100 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  AgdaAny -> (AgdaAny -> AgdaAny -> AgdaAny) -> ()
d_RightZero_100 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
d_RightZero_100 = T_Level_18
-> T_Level_18
-> T_Setoid_44
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
forall a. a
erased
-- Algebra.Consequences.Setoid._.comm+cancelˡ⇒cancelʳ
d_comm'43'cancel'737''8658'cancel'691'_138 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_comm'43'cancel'737''8658'cancel'691'_138 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_comm'43'cancel'737''8658'cancel'691'_138 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6
                                           AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'cancel'737''8658'cancel'691'_138
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_comm'43'cancel'737''8658'cancel'691'_138 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_comm'43'cancel'737''8658'cancel'691'_138 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'cancel'737''8658'cancel'691'_138 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
      (T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v6 AgdaAny
v4))
               AgdaAny
v7)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v5)))
-- Algebra.Consequences.Setoid._.comm+cancelʳ⇒cancelˡ
d_comm'43'cancel'691''8658'cancel'737'_150 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_comm'43'cancel'691''8658'cancel'737'_150 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_comm'43'cancel'691''8658'cancel'737'_150 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6
                                           AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'cancel'691''8658'cancel'737'_150
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_comm'43'cancel'691''8658'cancel'737'_150 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_comm'43'cancel'691''8658'cancel'737'_150 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'cancel'691''8658'cancel'737'_150 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6
      (T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4)
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4)
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v6))
               AgdaAny
v7)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v4)))
-- Algebra.Consequences.Setoid._.comm+idˡ⇒idʳ
d_comm'43'id'737''8658'id'691'_172 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_comm'43'id'737''8658'id'691'_172 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_comm'43'id'737''8658'id'691'_172 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'id'737''8658'id'691'_172 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_comm'43'id'737''8658'id'691'_172 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_comm'43'id'737''8658'id'691'_172 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'id'737''8658'id'691'_172 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) AgdaAny
v5
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) AgdaAny
v5 AgdaAny
v5
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4 AgdaAny
v5))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v3))
-- Algebra.Consequences.Setoid._.comm+idʳ⇒idˡ
d_comm'43'id'691''8658'id'737'_178 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_comm'43'id'691''8658'id'737'_178 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_comm'43'id'691''8658'id'737'_178 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'id'691''8658'id'737'_178 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_comm'43'id'691''8658'id'737'_178 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_comm'43'id'691''8658'id'737'_178 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'id'691''8658'id'737'_178 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v3) AgdaAny
v5
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v3) AgdaAny
v5 AgdaAny
v5
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v5))
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4 AgdaAny
v5))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v5))
-- Algebra.Consequences.Setoid._.comm+zeˡ⇒zeʳ
d_comm'43'ze'737''8658'ze'691'_184 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_comm'43'ze'737''8658'ze'691'_184 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_comm'43'ze'737''8658'ze'691'_184 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'ze'737''8658'ze'691'_184 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_comm'43'ze'737''8658'ze'691'_184 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_comm'43'ze'737''8658'ze'691'_184 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'ze'737''8658'ze'691'_184 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) AgdaAny
v3
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) AgdaAny
v3 AgdaAny
v3
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4 AgdaAny
v5))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v3))
-- Algebra.Consequences.Setoid._.comm+zeʳ⇒zeˡ
d_comm'43'ze'691''8658'ze'737'_190 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_comm'43'ze'691''8658'ze'737'_190 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_comm'43'ze'691''8658'ze'737'_190 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'ze'691''8658'ze'737'_190 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny
v6 AgdaAny
v7
du_comm'43'ze'691''8658'ze'737'_190 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_comm'43'ze'691''8658'ze'737'_190 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'ze'691''8658'ze'737'_190 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v3) AgdaAny
v3
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v3) AgdaAny
v3 AgdaAny
v3
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v4 AgdaAny
v5))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny
v5))
-- Algebra.Consequences.Setoid._.comm+almostCancelˡ⇒almostCancelʳ
d_comm'43'almostCancel'737''8658'almostCancel'691'_196 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
   AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
  AgdaAny -> AgdaAny
d_comm'43'almostCancel'737''8658'almostCancel'691'_196 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny
    -> AgdaAny
    -> (AgdaAny -> T_'8869'_4)
    -> AgdaAny
    -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
d_comm'43'almostCancel'737''8658'almostCancel'691'_196 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2
                                                       AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 ~AgdaAny
v5 AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny -> T_'8869'_4
v10 AgdaAny
v11
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny
    -> AgdaAny
    -> (AgdaAny -> T_'8869'_4)
    -> AgdaAny
    -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
du_comm'43'almostCancel'737''8658'almostCancel'691'_196
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny -> T_'8869'_4
v10 AgdaAny
v11
du_comm'43'almostCancel'737''8658'almostCancel'691'_196 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
   AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
  AgdaAny -> AgdaAny
du_comm'43'almostCancel'737''8658'almostCancel'691'_196 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny
    -> AgdaAny
    -> (AgdaAny -> T_'8869'_4)
    -> AgdaAny
    -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
du_comm'43'almostCancel'737''8658'almostCancel'691'_196 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v3
                                                        AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny -> T_'8869'_4
v7 AgdaAny
v8
  = (AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> (AgdaAny -> T_'8869'_4)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny -> T_'8869'_4
v7
      (T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6)
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v6 AgdaAny
v4))
               AgdaAny
v8)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v5)))
-- Algebra.Consequences.Setoid._.comm+almostCancelʳ⇒almostCancelˡ
d_comm'43'almostCancel'691''8658'almostCancel'737'_210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
   AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
  AgdaAny -> AgdaAny
d_comm'43'almostCancel'691''8658'almostCancel'737'_210 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny
    -> AgdaAny
    -> (AgdaAny -> T_'8869'_4)
    -> AgdaAny
    -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
d_comm'43'almostCancel'691''8658'almostCancel'737'_210 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2
                                                       AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 ~AgdaAny
v5 AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny -> T_'8869'_4
v10 AgdaAny
v11
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny
    -> AgdaAny
    -> (AgdaAny -> T_'8869'_4)
    -> AgdaAny
    -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
du_comm'43'almostCancel'691''8658'almostCancel'737'_210
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny -> T_'8869'_4
v10 AgdaAny
v11
du_comm'43'almostCancel'691''8658'almostCancel'737'_210 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
   AgdaAny -> AgdaAny) ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny ->
  (AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4) ->
  AgdaAny -> AgdaAny
du_comm'43'almostCancel'691''8658'almostCancel'737'_210 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny
    -> AgdaAny
    -> (AgdaAny -> T_'8869'_4)
    -> AgdaAny
    -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
du_comm'43'almostCancel'691''8658'almostCancel'737'_210 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v3
                                                        AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny -> T_'8869'_4
v7 AgdaAny
v8
  = (AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> (AgdaAny -> T_'8869'_4)
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> T_'8869'_4)
-> AgdaAny
-> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny -> T_'8869'_4
v7
      (T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4)
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4)
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4)
                  (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v4))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v6))
               AgdaAny
v8)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v4)))
-- Algebra.Consequences.Setoid._.comm+invˡ⇒invʳ
d_comm'43'inv'737''8658'inv'691'_236 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_comm'43'inv'737''8658'inv'691'_236 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_comm'43'inv'737''8658'inv'691'_236 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'inv'737''8658'inv'691'_236 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_comm'43'inv'737''8658'inv'691'_236 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_comm'43'inv'737''8658'inv'691'_236 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'inv'737''8658'inv'691'_236 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny
v5 AgdaAny
v6
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6) AgdaAny
v6) AgdaAny
v3
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6) AgdaAny
v6) AgdaAny
v3 AgdaAny
v3
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5 AgdaAny
v6))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)))
-- Algebra.Consequences.Setoid._.comm+invʳ⇒invˡ
d_comm'43'inv'691''8658'inv'737'_242 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_comm'43'inv'691''8658'inv'737'_242 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_comm'43'inv'691''8658'inv'737'_242 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'inv'691''8658'inv'737'_242 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8
du_comm'43'inv'691''8658'inv'737'_242 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_comm'43'inv'691''8658'inv'737'_242 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_comm'43'inv'691''8658'inv'737'_242 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny
v5 AgdaAny
v6
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6) AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)) AgdaAny
v3
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6)) AgdaAny
v3 AgdaAny
v3
            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
               (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v5 AgdaAny
v6))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v6) AgdaAny
v6))
-- Algebra.Consequences.Setoid._.assoc+id+invʳ⇒invˡ-unique
d_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3
                                                      AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 T_Σ_14
v8 AgdaAny -> AgdaAny
v9 AgdaAny
v10 AgdaAny
v11 AgdaAny
v12
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 T_Σ_14
v8 AgdaAny -> AgdaAny
v9 AgdaAny
v10 AgdaAny
v11 AgdaAny
v12
du_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_assoc'43'id'43'inv'691''8658'inv'737''45'unique_264 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
                                                       AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 T_Σ_14
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v6 of
      MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v11 AgdaAny
v12
        -> (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
             T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
             ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                T_Setoid_44
v0 AgdaAny
v8 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v3) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)
                ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                   T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v3) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v9 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)
                   ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                      T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v9 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)))
                      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)
                      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)
                         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)
                            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                     (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                               ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))
                            (AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v11 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)))
                         ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9) AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9) AgdaAny
v10
                            ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                               (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                               ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))))
                      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                         (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))
                         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v9 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v8 AgdaAny
v9 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))))
                   ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v8 AgdaAny
v8 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v9 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9))
                      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                         (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                         AgdaAny
v8)
                      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                         (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v9 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v9)) AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v7 AgdaAny
v9))))
                ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                   (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                   ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v3) AgdaAny
v8 (AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v12 AgdaAny
v8)))
      T_Σ_14
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Algebra.Consequences.Setoid._.assoc+id+invˡ⇒invʳ-unique
d_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3
                                                      AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 T_Σ_14
v8 AgdaAny -> AgdaAny
v9 AgdaAny
v10 AgdaAny
v11 AgdaAny
v12
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 T_Σ_14
v8 AgdaAny -> AgdaAny
v9 AgdaAny
v10 AgdaAny
v11 AgdaAny
v12
du_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_assoc'43'id'43'inv'737''8658'inv'691''45'unique_284 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny
v2 AgdaAny
v3
                                                       AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 T_Σ_14
v6 AgdaAny -> AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v6 of
      MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v11 AgdaAny
v12
        -> (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
             T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
             ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                T_Setoid_44
v0 AgdaAny
v9 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8)
                ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                   T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                   T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v9) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v8) AgdaAny
v9) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8)
                   ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                      T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v8) AgdaAny
v9)
                      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8)
                      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v3)
                         ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8)
                         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v3) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8)
                            (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                     T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60
                                     (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                               ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8))
                            (AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v12 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8)))
                         ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                            AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v9) AgdaAny
v3
                            ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                               T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                               (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                               ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8))
                            AgdaAny
v10))
                      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v8 AgdaAny
v9))
                   ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                      AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v8) AgdaAny
v9 AgdaAny
v9
                      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                         (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v2 AgdaAny
v8) AgdaAny
v8) AgdaAny
v3 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v7 AgdaAny
v8))
                      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                         (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                         AgdaAny
v9)))
                ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                   T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                   (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                   ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v3 AgdaAny
v9) AgdaAny
v9 (AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v11 AgdaAny
v9)))
      T_Σ_14
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Algebra.Consequences.Setoid._.comm+distrˡ⇒distrʳ
d_comm'43'distr'737''8658'distr'691'_312 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_comm'43'distr'737''8658'distr'691'_312 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_comm'43'distr'737''8658'distr'691'_312 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
                                         AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'distr'737''8658'distr'691'_312
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_comm'43'distr'737''8658'distr'691'_312 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_comm'43'distr'737''8658'distr'691'_312 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'distr'737''8658'distr'691'_312 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
                                          AgdaAny
v8
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8) AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6)))
               ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6)
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 AgdaAny
v8)))
            ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8) AgdaAny
v6))
-- Algebra.Consequences.Setoid._.comm+distrʳ⇒distrˡ
d_comm'43'distr'691''8658'distr'737'_322 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_comm'43'distr'691''8658'distr'737'_322 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_comm'43'distr'691''8658'distr'737'_322 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7
                                         AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'distr'691''8658'distr'737'_322
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_comm'43'distr'691''8658'distr'737'_322 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_comm'43'distr'691''8658'distr'737'_322 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'43'distr'691''8658'distr'737'_322 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
                                          AgdaAny
v8
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8) AgdaAny
v6)
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8) AgdaAny
v6)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8)))
               ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v8 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v8)
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v8 AgdaAny
v6)))
            ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v7 AgdaAny
v8)))
-- Algebra.Consequences.Setoid._.comm⇒sym[distribˡ]
d_comm'8658'sym'91'distrib'737''93'_338 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_comm'8658'sym'91'distrib'737''93'_338 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_comm'8658'sym'91'distrib'737''93'_338 ~T_Level_18
v0 ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7
                                        AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'8658'sym'91'distrib'737''93'_338
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10
du_comm'8658'sym'91'distrib'737''93'_338 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_comm'8658'sym'91'distrib'737''93'_338 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_comm'8658'sym'91'distrib'737''93'_338 T_Setoid_44
v0 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 AgdaAny
v8
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7))
         ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6))
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6))
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6))
               (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                  ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                     ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6)))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v5 AgdaAny
v7)))
            AgdaAny
v8)
         ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v5 AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v7 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v6 AgdaAny
v7)
            ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
               (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
               AgdaAny
v5)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny
v7 AgdaAny
v6)))
-- Algebra.Consequences.Setoid._.assoc+distribʳ+idʳ+invʳ⇒zeˡ
d_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364 ~T_Level_18
v0
                                                                ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v10 AgdaAny -> AgdaAny
v11
                                                                AgdaAny -> AgdaAny
v12 AgdaAny
v13
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v10 AgdaAny -> AgdaAny
v11 AgdaAny -> AgdaAny
v12 AgdaAny
v13
du_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_assoc'43'distrib'691''43'id'691''43'inv'691''8658'ze'737'_364 T_Setoid_44
v0
                                                                 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny
v9 AgdaAny -> AgdaAny
v10 AgdaAny
v11
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) AgdaAny
v4) AgdaAny
v4
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) AgdaAny
v4)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))))
            AgdaAny
v4
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                  ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))
               AgdaAny
v4
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  T_Setoid_44
v0
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                     ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))) AgdaAny
v4
                  ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))) AgdaAny
v4
                     ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                        T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))) AgdaAny
v4 AgdaAny
v4
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                           ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                        ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v10 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))
                     ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)
                        ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                        ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v4 AgdaAny
v11 AgdaAny
v11 ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v9 AgdaAny
v4)
                           ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                              (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                              AgdaAny
v11))
                        ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                           (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                           ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))))
                  ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                     ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                        (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v11)
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v11 AgdaAny
v4 AgdaAny
v4))
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                        ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
                     ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))))
                  ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))))
            ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) AgdaAny
v4
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))) AgdaAny
v4
                  ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v10 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)))))
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11) AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11)
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v9 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v4 AgdaAny
v11))))
-- Algebra.Consequences.Setoid._.assoc+distribˡ+idʳ+invʳ⇒zeʳ
d_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
d_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
d_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376 ~T_Level_18
v0
                                                                ~T_Level_18
v1 T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v10 AgdaAny -> AgdaAny
v11
                                                                AgdaAny -> AgdaAny
v12 AgdaAny
v13
  = T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376
      T_Setoid_44
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v10 AgdaAny -> AgdaAny
v11 AgdaAny -> AgdaAny
v12 AgdaAny
v13
du_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  AgdaAny ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
du_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376 :: T_Setoid_44
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
du_assoc'43'distrib'737''43'id'691''43'inv'691''8658'ze'691'_376 T_Setoid_44
v0
                                                                 AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny
v9 AgdaAny -> AgdaAny
v10 AgdaAny
v11
  = (T__IsRelatedTo__26 -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T__IsRelatedTo__26 -> AgdaAny
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.d_begin__40
      ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
         T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
         T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) AgdaAny
v4) AgdaAny
v4
         ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
            T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) AgdaAny
v4)
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))))
            AgdaAny
v4
            ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
               T_Setoid_44
v0
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))))
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                  ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))
               AgdaAny
v4
               ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                  T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                  T_Setoid_44
v0
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                     ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))) AgdaAny
v4
                  ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                     T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))) AgdaAny
v4
                     ((T_Setoid_44
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny
 -> T__IsRelatedTo__26
 -> AgdaAny
 -> T__IsRelatedTo__26)
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__IsRelatedTo__26
-> AgdaAny
-> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Setoid.du_step'45''8776'_58
                        T_Setoid_44
v0 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))) AgdaAny
v4 AgdaAny
v4
                        (((AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           (AgdaAny -> AgdaAny) -> AgdaAny -> T__IsRelatedTo__26
MAlonzo.Code.Relation.Binary.Reasoning.Base.Single.du__'8718'_86
                           ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                 T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))
                        ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v10 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))
                     ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                        AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4)) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)
                        ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                        ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                           AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny
v11 AgdaAny
v11 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4) AgdaAny
v4
                           ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                              (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                              AgdaAny
v11)
                           ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v9 AgdaAny
v4))
                        ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                           (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                           ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))))
                  ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
                     AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4)) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                     ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                        (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny
v4 AgdaAny
v4))
                        ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)) ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny
v11 AgdaAny
v4 AgdaAny
v4))
                     ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                        T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                        (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                        ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
                     ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                     AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)
                     ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))))
                  ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v7 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))))
            ((AgdaAny
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
               AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v5 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) AgdaAny
v4
               ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
                  (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
                  (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
                  ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v3 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))) AgdaAny
v4
                  ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v10 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)))))
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            (T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0))
            ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4) AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4)
            ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v9 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny
v11 AgdaAny
v4))))
-- Algebra.Consequences.Setoid._.subst+comm⇒sym
d_subst'43'comm'8658'sym_406 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_subst'43'comm'8658'sym_406 :: T_Setoid_44
-> T_Level_18
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_subst'43'comm'8658'sym_406 ~T_Setoid_44
v0 ~T_Level_18
v1 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> T_Level_18
v3 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
  = (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'43'comm'8658'sym_406 AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> T_Level_18
v3 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> AgdaAny -> AgdaAny
v5 AgdaAny
v6 AgdaAny
v7
du_subst'43'comm'8658'sym_406 ::
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_subst'43'comm'8658'sym_406 :: (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_subst'43'comm'8658'sym_406 AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> T_Level_18
v1 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> T_Level_18
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v4 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v5 AgdaAny
v4) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v4 AgdaAny
v5)
-- Algebra.Consequences.Setoid._.wlog
d_wlog_420 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
d_wlog_420 :: T_Level_18
-> T_Level_18
-> T_Setoid_44
-> T_Level_18
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_wlog_420 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Setoid_44
v2 ~T_Level_18
v3 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny
v7 ~T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9 AgdaAny -> AgdaAny -> T__'8846'__30
v10
  = (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_wlog_420 AgdaAny -> AgdaAny -> AgdaAny
v4 AgdaAny -> T_Level_18
v5 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v6 AgdaAny -> AgdaAny -> AgdaAny
v7 AgdaAny -> AgdaAny -> T__'8846'__30
v10
du_wlog_420 ::
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> ()) ->
  ((AgdaAny -> ()) ->
   AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  AgdaAny -> AgdaAny -> AgdaAny
du_wlog_420 :: (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> ((AgdaAny -> T_Level_18)
    -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
du_wlog_420 AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> T_Level_18
v1 (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny -> AgdaAny -> T__'8846'__30
v4
  = ((AgdaAny -> AgdaAny -> T__'8846'__30)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> AgdaAny
 -> AgdaAny
 -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
MAlonzo.Code.Relation.Binary.Consequences.du_wlog_682 ((AgdaAny -> AgdaAny -> T__'8846'__30) -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v4)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v5 AgdaAny
v6 ->
            ((AgdaAny -> T_Level_18)
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> T_Level_18)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> T_Level_18)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> T_Level_18
v1 ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v5 AgdaAny
v6) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v6 AgdaAny
v5) ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny
v3 AgdaAny
v5 AgdaAny
v6)))