{-# 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.Relation.Binary.Bundles 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.Equality
import qualified MAlonzo.Code.Agda.Builtin.Sigma
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Data.Irrelevant
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Relation.Binary.Definitions
import qualified MAlonzo.Code.Relation.Binary.Structures
import qualified MAlonzo.Code.Relation.Nullary.Decidable.Core

-- Relation.Binary.Bundles.PartialSetoid
d_PartialSetoid_10 :: p -> p -> ()
d_PartialSetoid_10 p
a0 p
a1 = ()
newtype T_PartialSetoid_10
  = C_PartialSetoid'46'constructor_133 MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
-- Relation.Binary.Bundles.PartialSetoid.Carrier
d_Carrier_22 :: T_PartialSetoid_10 -> ()
d_Carrier_22 :: T_PartialSetoid_10 -> ()
d_Carrier_22 = T_PartialSetoid_10 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.PartialSetoid._≈_
d__'8776'__24 :: T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8776'__24 :: T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8776'__24 = T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.PartialSetoid.isPartialEquivalence
d_isPartialEquivalence_26 ::
  T_PartialSetoid_10 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_26 :: T_PartialSetoid_10 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_26 T_PartialSetoid_10
v0
  = case T_PartialSetoid_10 -> T_PartialSetoid_10
forall a b. a -> b
coe T_PartialSetoid_10
v0 of
      C_PartialSetoid'46'constructor_133 T_IsPartialEquivalence_16
v3 -> T_IsPartialEquivalence_16 -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsPartialEquivalence_16
v3
      T_PartialSetoid_10
_ -> T_IsPartialEquivalence_16
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.PartialSetoid._.sym
d_sym_30 ::
  T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_30 :: T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_30 T_PartialSetoid_10
v0
  = (T_IsPartialEquivalence_16
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialEquivalence_16
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_22
      ((T_PartialSetoid_10 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_26 (T_PartialSetoid_10 -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10
v0))
-- Relation.Binary.Bundles.PartialSetoid._.trans
d_trans_32 ::
  T_PartialSetoid_10 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_32 :: T_PartialSetoid_10
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_32 T_PartialSetoid_10
v0
  = (T_IsPartialEquivalence_16
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPartialEquivalence_16
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_24
      ((T_PartialSetoid_10 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_26 (T_PartialSetoid_10 -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10
v0))
-- Relation.Binary.Bundles.PartialSetoid._≉_
d__'8777'__34 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8777'__34 :: () -> () -> T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8777'__34 = () -> () -> T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid
d_Setoid_44 :: p -> p -> ()
d_Setoid_44 p
a0 p
a1 = ()
newtype T_Setoid_44
  = C_Setoid'46'constructor_733 MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
-- Relation.Binary.Bundles.Setoid.Carrier
d_Carrier_56 :: T_Setoid_44 -> ()
d_Carrier_56 :: T_Setoid_44 -> ()
d_Carrier_56 = T_Setoid_44 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid._≈_
d__'8776'__58 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8776'__58 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8776'__58 = T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid.isEquivalence
d_isEquivalence_60 ::
  T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_60 :: T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 T_Setoid_44
v0
  = case T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0 of
      C_Setoid'46'constructor_733 T_IsEquivalence_26
v3 -> T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v3
      T_Setoid_44
_ -> T_IsEquivalence_26
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Setoid._.isPartialEquivalence
d_isPartialEquivalence_64 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_64 :: () -> () -> T_Setoid_44 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_64 ~()
v0 ~()
v1 T_Setoid_44
v2
  = T_Setoid_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_64 T_Setoid_44
v2
du_isPartialEquivalence_64 ::
  T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_64 :: T_Setoid_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_64 T_Setoid_44
v0
  = (T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid._.refl
d_refl_66 :: T_Setoid_44 -> AgdaAny -> AgdaAny
d_refl_66 :: T_Setoid_44 -> AgdaAny -> AgdaAny
d_refl_66 T_Setoid_44
v0
  = (T_IsEquivalence_26 -> AgdaAny -> 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
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid._.reflexive
d_reflexive_68 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_68 :: ()
-> ()
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_68 ~()
v0 ~()
v1 T_Setoid_44
v2 = T_Setoid_44 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_68 T_Setoid_44
v2
du_reflexive_68 ::
  T_Setoid_44 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_68 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_68 T_Setoid_44
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)) AgdaAny
v1
-- Relation.Binary.Bundles.Setoid.partialSetoid
d_partialSetoid_70 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 -> T_PartialSetoid_10
d_partialSetoid_70 :: () -> () -> T_Setoid_44 -> T_PartialSetoid_10
d_partialSetoid_70 ~()
v0 ~()
v1 T_Setoid_44
v2 = T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 T_Setoid_44
v2
du_partialSetoid_70 :: T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 :: T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 T_Setoid_44
v0
  = (T_IsPartialEquivalence_16 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      T_IsPartialEquivalence_16 -> T_PartialSetoid_10
C_PartialSetoid'46'constructor_133
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
-- Relation.Binary.Bundles.Setoid._._≉_
d__'8777'__74 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8777'__74 :: () -> () -> T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8777'__74 = () -> () -> T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid._.sym
d_sym_76 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_76 :: () -> () -> T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_76 ~()
v0 ~()
v1 T_Setoid_44
v2 = T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_76 T_Setoid_44
v2
du_sym_76 ::
  T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_76 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_76 T_Setoid_44
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid._.trans
d_trans_78 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_78 :: ()
-> ()
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_78 ~()
v0 ~()
v1 T_Setoid_44
v2 = T_Setoid_44
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_78 T_Setoid_44
v2
du_trans_78 ::
  T_Setoid_44 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_78 :: T_Setoid_44
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_78 T_Setoid_44
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.DecSetoid
d_DecSetoid_84 :: p -> p -> ()
d_DecSetoid_84 p
a0 p
a1 = ()
newtype T_DecSetoid_84
  = C_DecSetoid'46'constructor_1389 MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
-- Relation.Binary.Bundles.DecSetoid.Carrier
d_Carrier_96 :: T_DecSetoid_84 -> ()
d_Carrier_96 :: T_DecSetoid_84 -> ()
d_Carrier_96 = T_DecSetoid_84 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._≈_
d__'8776'__98 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8776'__98 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8776'__98 = T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid.isDecEquivalence
d_isDecEquivalence_100 ::
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_100 :: T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 T_DecSetoid_84
v0
  = case T_DecSetoid_84 -> T_DecSetoid_84
forall a b. a -> b
coe T_DecSetoid_84
v0 of
      C_DecSetoid'46'constructor_1389 T_IsDecEquivalence_44
v3 -> T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
forall a b. a -> b
coe T_IsDecEquivalence_44
v3
      T_DecSetoid_84
_ -> T_IsDecEquivalence_44
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecSetoid._._≟_
d__'8799'__104 ::
  T_DecSetoid_84 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__104 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__104 T_DecSetoid_84
v0
  = (T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__52
      ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
-- Relation.Binary.Bundles.DecSetoid._.isEquivalence
d_isEquivalence_106 ::
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_106 :: T_DecSetoid_84 -> T_IsEquivalence_26
d_isEquivalence_106 T_DecSetoid_84
v0
  = (T_IsDecEquivalence_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
      ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
-- Relation.Binary.Bundles.DecSetoid.setoid
d_setoid_108 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> T_Setoid_44
d_setoid_108 :: () -> () -> T_DecSetoid_84 -> T_Setoid_44
d_setoid_108 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 T_DecSetoid_84
v2
du_setoid_108 :: T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 :: T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 T_DecSetoid_84
v0
  = (T_IsEquivalence_26 -> T_Setoid_44)
-> T_IsEquivalence_26 -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
C_Setoid'46'constructor_733
      (T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0)))
-- Relation.Binary.Bundles.DecSetoid._._≉_
d__'8777'__112 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8777'__112 :: () -> () -> T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8777'__112 = () -> () -> T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._.isPartialEquivalence
d_isPartialEquivalence_114 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_114 :: () -> () -> T_DecSetoid_84 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_114 ~()
v0 ~()
v1 T_DecSetoid_84
v2
  = T_DecSetoid_84 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_114 T_DecSetoid_84
v2
du_isPartialEquivalence_114 ::
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_114 :: T_DecSetoid_84 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_114 T_DecSetoid_84
v0
  = let v1 :: t
v1 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecSetoid._.partialSetoid
d_partialSetoid_116 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> T_PartialSetoid_10
d_partialSetoid_116 :: () -> () -> T_DecSetoid_84 -> T_PartialSetoid_10
d_partialSetoid_116 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> T_PartialSetoid_10
du_partialSetoid_116 T_DecSetoid_84
v2
du_partialSetoid_116 :: T_DecSetoid_84 -> T_PartialSetoid_10
du_partialSetoid_116 :: T_DecSetoid_84 -> T_PartialSetoid_10
du_partialSetoid_116 T_DecSetoid_84
v0
  = (T_Setoid_44 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
-- Relation.Binary.Bundles.DecSetoid._.refl
d_refl_118 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> AgdaAny -> AgdaAny
d_refl_118 :: () -> () -> T_DecSetoid_84 -> AgdaAny -> AgdaAny
d_refl_118 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> AgdaAny -> AgdaAny
du_refl_118 T_DecSetoid_84
v2
du_refl_118 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny
du_refl_118 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny
du_refl_118 T_DecSetoid_84
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0)))
-- Relation.Binary.Bundles.DecSetoid._.reflexive
d_reflexive_120 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_120 :: ()
-> ()
-> T_DecSetoid_84
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_120 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_120 T_DecSetoid_84
v2
du_reflexive_120 ::
  T_DecSetoid_84 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_120 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_120 T_DecSetoid_84
v0
  = let v1 :: t
v1 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.DecSetoid._.sym
d_sym_122 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_122 :: ()
-> () -> T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_122 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_122 T_DecSetoid_84
v2
du_sym_122 ::
  T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_122 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_122 T_DecSetoid_84
v0
  = let v1 :: t
v1 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecSetoid._.trans
d_trans_124 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_124 :: ()
-> ()
-> T_DecSetoid_84
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_124 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_124 T_DecSetoid_84
v2
du_trans_124 ::
  T_DecSetoid_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_124 :: T_DecSetoid_84
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_124 T_DecSetoid_84
v0
  = let v1 :: t
v1 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Preorder
d_Preorder_132 :: p -> p -> p -> ()
d_Preorder_132 p
a0 p
a1 p
a2 = ()
newtype T_Preorder_132
  = C_Preorder'46'constructor_2267 MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
-- Relation.Binary.Bundles.Preorder.Carrier
d_Carrier_148 :: T_Preorder_132 -> ()
d_Carrier_148 :: T_Preorder_132 -> ()
d_Carrier_148 = T_Preorder_132 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._≈_
d__'8776'__150 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__150 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__150 = T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._≲_
d__'8818'__152 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8818'__152 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8818'__152 = T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.isPreorder
d_isPreorder_154 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_154 :: T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 T_Preorder_132
v0
  = case T_Preorder_132 -> T_Preorder_132
forall a b. a -> b
coe T_Preorder_132
v0 of
      C_Preorder'46'constructor_2267 T_IsPreorder_70
v4 -> T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v4
      T_Preorder_132
_ -> T_IsPreorder_70
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Preorder._.isEquivalence
d_isEquivalence_158 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_158 :: T_Preorder_132 -> T_IsEquivalence_26
d_isEquivalence_158 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.refl
d_refl_160 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_160 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_160 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_160 T_Preorder_132
v3
du_refl_160 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_160 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_160 T_Preorder_132
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.reflexive
d_reflexive_162 ::
  T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_162 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_162 T_Preorder_132
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.trans
d_trans_164 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_164 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_164 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_166 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_166 :: () -> () -> () -> T_Preorder_132 -> T_Σ_14
d_'8764''45'resp'45''8776'_166 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132 -> T_Σ_14
du_'8764''45'resp'45''8776'_166 T_Preorder_132
v3
du_'8764''45'resp'45''8776'_166 ::
  T_Preorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_166 :: T_Preorder_132 -> T_Σ_14
du_'8764''45'resp'45''8776'_166 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_118
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_168 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_168 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_168 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_168 T_Preorder_132
v3
du_'8764''45'resp'691''45''8776'_168 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_168 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_168 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_116
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_170 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_170 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_170 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_170 T_Preorder_132
v3
du_'8764''45'resp'737''45''8776'_170 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_170 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_170 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_114
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_172 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_172 :: () -> () -> () -> T_Preorder_132 -> T_Σ_14
d_'8818''45'resp'45''8776'_172 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132 -> T_Σ_14
du_'8818''45'resp'45''8776'_172 T_Preorder_132
v3
du_'8818''45'resp'45''8776'_172 ::
  T_Preorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_172 :: T_Preorder_132 -> T_Σ_14
du_'8818''45'resp'45''8776'_172 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_112
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_174 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_174 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_174 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_174 T_Preorder_132
v3
du_'8818''45'resp'691''45''8776'_174 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_174 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_174 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_106
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_176 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_176 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_176 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_176 T_Preorder_132
v3
du_'8818''45'resp'737''45''8776'_176 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_176 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_176 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_100
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder.Eq.setoid
d_setoid_180 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> T_Setoid_44
d_setoid_180 :: () -> () -> () -> T_Preorder_132 -> T_Setoid_44
d_setoid_180 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> T_Setoid_44
du_setoid_180 T_Preorder_132
v3
du_setoid_180 :: T_Preorder_132 -> T_Setoid_44
du_setoid_180 :: T_Preorder_132 -> T_Setoid_44
du_setoid_180 T_Preorder_132
v0
  = (T_IsEquivalence_26 -> T_Setoid_44)
-> T_IsEquivalence_26 -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
C_Setoid'46'constructor_733
      (T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._._≈_
d__'8776'__184 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__184 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__184 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._._≉_
d__'8777'__186 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8777'__186 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8777'__186 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.Carrier
d_Carrier_188 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_Preorder_132 -> ()
d_Carrier_188 :: () -> () -> () -> T_Preorder_132 -> ()
d_Carrier_188 = () -> () -> () -> T_Preorder_132 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.isEquivalence
d_isEquivalence_190 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_190 :: () -> () -> () -> T_Preorder_132 -> T_IsEquivalence_26
d_isEquivalence_190 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> T_IsEquivalence_26
du_isEquivalence_190 T_Preorder_132
v3
du_isEquivalence_190 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_190 :: T_Preorder_132 -> T_IsEquivalence_26
du_isEquivalence_190 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder.Eq._.isPartialEquivalence
d_isPartialEquivalence_192 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_192 :: () -> () -> () -> T_Preorder_132 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_192 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_192 T_Preorder_132
v3
du_isPartialEquivalence_192 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_192 :: T_Preorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_192 T_Preorder_132
v0
  = let v1 :: t
v1 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Preorder.Eq._.partialSetoid
d_partialSetoid_194 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> T_PartialSetoid_10
d_partialSetoid_194 :: () -> () -> () -> T_Preorder_132 -> T_PartialSetoid_10
d_partialSetoid_194 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> T_PartialSetoid_10
du_partialSetoid_194 T_Preorder_132
v3
du_partialSetoid_194 :: T_Preorder_132 -> T_PartialSetoid_10
du_partialSetoid_194 :: T_Preorder_132 -> T_PartialSetoid_10
du_partialSetoid_194 T_Preorder_132
v0
  = (T_Setoid_44 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder.Eq._.refl
d_refl_196 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_196 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_196 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_196 T_Preorder_132
v3
du_refl_196 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_196 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_196 T_Preorder_132
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._.reflexive
d_reflexive_198 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_198 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_198 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_198 T_Preorder_132
v3
du_reflexive_198 ::
  T_Preorder_132 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_198 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_198 T_Preorder_132
v0
  = let v1 :: t
v1 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.Preorder.Eq._.sym
d_sym_200 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_200 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_200 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_200 T_Preorder_132
v3
du_sym_200 ::
  T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_200 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_200 T_Preorder_132
v0
  = let v1 :: t
v1 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Preorder.Eq._.trans
d_trans_202 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_202 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_202 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_202 T_Preorder_132
v3
du_trans_202 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_202 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_202 T_Preorder_132
v0
  = let v1 :: t
v1 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Preorder._⋦_
d__'8934'__204 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8934'__204 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8934'__204 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._≳_
d__'8819'__210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8819'__210 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8819'__210 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._⋧_
d__'8935'__212 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8935'__212 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8935'__212 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._∼_
d__'8764'__214 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8764'__214 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8764'__214 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder
d_TotalPreorder_222 :: p -> p -> p -> ()
d_TotalPreorder_222 p
a0 p
a1 p
a2 = ()
newtype T_TotalPreorder_222
  = C_TotalPreorder'46'constructor_4573 MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_124
-- Relation.Binary.Bundles.TotalPreorder.Carrier
d_Carrier_238 :: T_TotalPreorder_222 -> ()
d_Carrier_238 :: T_TotalPreorder_222 -> ()
d_Carrier_238 = T_TotalPreorder_222 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._≈_
d__'8776'__240 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8776'__240 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8776'__240 = T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._≲_
d__'8818'__242 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8818'__242 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8818'__242 = T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder.isTotalPreorder
d_isTotalPreorder_244 ::
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_124
d_isTotalPreorder_244 :: T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 T_TotalPreorder_222
v0
  = case T_TotalPreorder_222 -> T_TotalPreorder_222
forall a b. a -> b
coe T_TotalPreorder_222
v0 of
      C_TotalPreorder'46'constructor_4573 T_IsTotalPreorder_124
v4 -> T_IsTotalPreorder_124 -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_IsTotalPreorder_124
v4
      T_TotalPreorder_222
_ -> T_IsTotalPreorder_124
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.TotalPreorder._.isPreorder
d_isPreorder_248 ::
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_248 :: T_TotalPreorder_222 -> T_IsPreorder_70
d_isPreorder_248 T_TotalPreorder_222
v0
  = (T_IsTotalPreorder_124 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsTotalPreorder_124 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_132
      ((T_TotalPreorder_222 -> T_IsTotalPreorder_124)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0))
-- Relation.Binary.Bundles.TotalPreorder._.total
d_total_250 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_250 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_250 T_TotalPreorder_222
v0
  = (T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_134
      ((T_TotalPreorder_222 -> T_IsTotalPreorder_124)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0))
-- Relation.Binary.Bundles.TotalPreorder.preorder
d_preorder_252 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> T_Preorder_132
d_preorder_252 :: () -> () -> () -> T_TotalPreorder_222 -> T_Preorder_132
d_preorder_252 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 T_TotalPreorder_222
v3
du_preorder_252 :: T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 :: T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 T_TotalPreorder_222
v0
  = (T_IsPreorder_70 -> T_Preorder_132)
-> T_IsPreorder_70 -> T_Preorder_132
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Preorder_132
C_Preorder'46'constructor_2267
      (T_IsTotalPreorder_124 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_132
         ((T_TotalPreorder_222 -> T_IsTotalPreorder_124)
-> AgdaAny -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0)))
-- Relation.Binary.Bundles.TotalPreorder._._∼_
d__'8764'__256 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8764'__256 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8764'__256 = () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._≳_
d__'8819'__258 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8819'__258 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8819'__258 = () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._⋦_
d__'8934'__260 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8934'__260 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8934'__260 = () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._⋧_
d__'8935'__262 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8935'__262 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8935'__262 = () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.isEquivalence
d_isEquivalence_264 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_264 :: () -> () -> () -> T_TotalPreorder_222 -> T_IsEquivalence_26
d_isEquivalence_264 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> T_IsEquivalence_26
du_isEquivalence_264 T_TotalPreorder_222
v3
du_isEquivalence_264 ::
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_264 :: T_TotalPreorder_222 -> T_IsEquivalence_26
du_isEquivalence_264 T_TotalPreorder_222
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_124 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_132
         ((T_TotalPreorder_222 -> T_IsTotalPreorder_124)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.refl
d_refl_266 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny
d_refl_266 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny
d_refl_266 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> AgdaAny -> AgdaAny
du_refl_266 T_TotalPreorder_222
v3
du_refl_266 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny
du_refl_266 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny
du_refl_266 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.reflexive
d_reflexive_268 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_268 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_268 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_268 T_TotalPreorder_222
v3
du_reflexive_268 ::
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_268 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_268 T_TotalPreorder_222
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_124 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_132
         ((T_TotalPreorder_222 -> T_IsTotalPreorder_124)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.trans
d_trans_270 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_270 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_270 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_270 T_TotalPreorder_222
v3
du_trans_270 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_270 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_270 T_TotalPreorder_222
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_124 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_132
         ((T_TotalPreorder_222 -> T_IsTotalPreorder_124)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222 -> T_IsTotalPreorder_124
d_isTotalPreorder_244 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_272 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_272 :: () -> () -> () -> T_TotalPreorder_222 -> T_Σ_14
d_'8764''45'resp'45''8776'_272 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222 -> T_Σ_14
du_'8764''45'resp'45''8776'_272 T_TotalPreorder_222
v3
du_'8764''45'resp'45''8776'_272 ::
  T_TotalPreorder_222 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_272 :: T_TotalPreorder_222 -> T_Σ_14
du_'8764''45'resp'45''8776'_272 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_118
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_274 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_274 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_274 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_274 T_TotalPreorder_222
v3
du_'8764''45'resp'691''45''8776'_274 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_274 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_274 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_116
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_276 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_276 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_276 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_276 T_TotalPreorder_222
v3
du_'8764''45'resp'737''45''8776'_276 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_276 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_276 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_114
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_278 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_278 :: () -> () -> () -> T_TotalPreorder_222 -> T_Σ_14
d_'8818''45'resp'45''8776'_278 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222 -> T_Σ_14
du_'8818''45'resp'45''8776'_278 T_TotalPreorder_222
v3
du_'8818''45'resp'45''8776'_278 ::
  T_TotalPreorder_222 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_278 :: T_TotalPreorder_222 -> T_Σ_14
du_'8818''45'resp'45''8776'_278 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_112
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_280 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_280 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_280 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_280 T_TotalPreorder_222
v3
du_'8818''45'resp'691''45''8776'_280 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_280 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_280 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_106
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_282 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_282 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_282 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_282 T_TotalPreorder_222
v3
du_'8818''45'resp'737''45''8776'_282 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_282 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_282 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_100
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq._≈_
d__'8776'__286 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8776'__286 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8776'__286 = () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq._≉_
d__'8777'__288 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8777'__288 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
d__'8777'__288 = () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.Carrier
d_Carrier_290 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_TotalPreorder_222 -> ()
d_Carrier_290 :: () -> () -> () -> T_TotalPreorder_222 -> ()
d_Carrier_290 = () -> () -> () -> T_TotalPreorder_222 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.isEquivalence
d_isEquivalence_292 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_292 :: () -> () -> () -> T_TotalPreorder_222 -> T_IsEquivalence_26
d_isEquivalence_292 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> T_IsEquivalence_26
du_isEquivalence_292 T_TotalPreorder_222
v3
du_isEquivalence_292 ::
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_292 :: T_TotalPreorder_222 -> T_IsEquivalence_26
du_isEquivalence_292 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.isPartialEquivalence
d_isPartialEquivalence_294 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_294 :: () -> () -> () -> T_TotalPreorder_222 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_294 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3
  = T_TotalPreorder_222 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_294 T_TotalPreorder_222
v3
du_isPartialEquivalence_294 ::
  T_TotalPreorder_222 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_294 :: T_TotalPreorder_222 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_294 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.partialSetoid
d_partialSetoid_296 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> T_PartialSetoid_10
d_partialSetoid_296 :: () -> () -> () -> T_TotalPreorder_222 -> T_PartialSetoid_10
d_partialSetoid_296 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> T_PartialSetoid_10
du_partialSetoid_296 T_TotalPreorder_222
v3
du_partialSetoid_296 :: T_TotalPreorder_222 -> T_PartialSetoid_10
du_partialSetoid_296 :: T_TotalPreorder_222 -> T_PartialSetoid_10
du_partialSetoid_296 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.refl
d_refl_298 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny
d_refl_298 :: () -> () -> () -> T_TotalPreorder_222 -> AgdaAny -> AgdaAny
d_refl_298 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> AgdaAny -> AgdaAny
du_refl_298 T_TotalPreorder_222
v3
du_refl_298 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny
du_refl_298 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny
du_refl_298 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((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_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.reflexive
d_reflexive_300 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_300 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_300 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_300 T_TotalPreorder_222
v3
du_reflexive_300 ::
  T_TotalPreorder_222 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_300 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_300 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.setoid
d_setoid_302 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> T_Setoid_44
d_setoid_302 :: () -> () -> () -> T_TotalPreorder_222 -> T_Setoid_44
d_setoid_302 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> T_Setoid_44
du_setoid_302 T_TotalPreorder_222
v3
du_setoid_302 :: T_TotalPreorder_222 -> T_Setoid_44
du_setoid_302 :: T_TotalPreorder_222 -> T_Setoid_44
du_setoid_302 T_TotalPreorder_222
v0 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 ((T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.sym
d_sym_304 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_304 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_304 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_304 T_TotalPreorder_222
v3
du_sym_304 ::
  T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_304 :: T_TotalPreorder_222 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_304 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.trans
d_trans_306 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_306 :: ()
-> ()
-> ()
-> T_TotalPreorder_222
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_306 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_222
v3 = T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_306 T_TotalPreorder_222
v3
du_trans_306 ::
  T_TotalPreorder_222 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_306 :: T_TotalPreorder_222
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_306 T_TotalPreorder_222
v0
  = let v1 :: t
v1 = (T_TotalPreorder_222 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_222 -> T_Preorder_132
du_preorder_252 (T_TotalPreorder_222 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_222
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.Poset
d_Poset_314 :: p -> p -> p -> ()
d_Poset_314 p
a0 p
a1 p
a2 = ()
newtype T_Poset_314
  = C_Poset'46'constructor_6389 MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
-- Relation.Binary.Bundles.Poset.Carrier
d_Carrier_330 :: T_Poset_314 -> ()
d_Carrier_330 :: T_Poset_314 -> ()
d_Carrier_330 = T_Poset_314 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._≈_
d__'8776'__332 :: T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8776'__332 :: T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8776'__332 = T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._≤_
d__'8804'__334 :: T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8804'__334 :: T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8804'__334 = T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset.isPartialOrder
d_isPartialOrder_336 ::
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
d_isPartialOrder_336 :: T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 T_Poset_314
v0
  = case T_Poset_314 -> T_Poset_314
forall a b. a -> b
coe T_Poset_314
v0 of
      C_Poset'46'constructor_6389 T_IsPartialOrder_174
v4 -> T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v4
      T_Poset_314
_ -> T_IsPartialOrder_174
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Poset._.antisym
d_antisym_340 ::
  T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_340 :: T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_340 T_Poset_314
v0
  = (T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_184
      ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0))
-- Relation.Binary.Bundles.Poset._.isPreorder
d_isPreorder_342 ::
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_342 :: T_Poset_314 -> T_IsPreorder_70
d_isPreorder_342 T_Poset_314
v0
  = (T_IsPartialOrder_174 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
      ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0))
-- Relation.Binary.Bundles.Poset.preorder
d_preorder_344 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> T_Preorder_132
d_preorder_344 :: () -> () -> () -> T_Poset_314 -> T_Preorder_132
d_preorder_344 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> T_Preorder_132
du_preorder_344 T_Poset_314
v3
du_preorder_344 :: T_Poset_314 -> T_Preorder_132
du_preorder_344 :: T_Poset_314 -> T_Preorder_132
du_preorder_344 T_Poset_314
v0
  = (T_IsPreorder_70 -> T_Preorder_132)
-> T_IsPreorder_70 -> T_Preorder_132
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Preorder_132
C_Preorder'46'constructor_2267
      (T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
         ((T_Poset_314 -> T_IsPartialOrder_174)
-> AgdaAny -> T_IsPartialOrder_174
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0)))
-- Relation.Binary.Bundles.Poset._._∼_
d__'8764'__348 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8764'__348 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8764'__348 = () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._._≳_
d__'8819'__350 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8819'__350 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8819'__350 = () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._._⋦_
d__'8934'__352 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8934'__352 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8934'__352 = () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._._⋧_
d__'8935'__354 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8935'__354 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8935'__354 = () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.isEquivalence
d_isEquivalence_356 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_356 :: () -> () -> () -> T_Poset_314 -> T_IsEquivalence_26
d_isEquivalence_356 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> T_IsEquivalence_26
du_isEquivalence_356 T_Poset_314
v3
du_isEquivalence_356 ::
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_356 :: T_Poset_314 -> T_IsEquivalence_26
du_isEquivalence_356 T_Poset_314
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
         ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0)))
-- Relation.Binary.Bundles.Poset._.refl
d_refl_358 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny
d_refl_358 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny
d_refl_358 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> AgdaAny -> AgdaAny
du_refl_358 T_Poset_314
v3
du_refl_358 :: T_Poset_314 -> AgdaAny -> AgdaAny
du_refl_358 :: T_Poset_314 -> AgdaAny -> AgdaAny
du_refl_358 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.reflexive
d_reflexive_360 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_360 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_360 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_360 T_Poset_314
v3
du_reflexive_360 ::
  T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_360 :: T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_360 T_Poset_314
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
         ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0)))
-- Relation.Binary.Bundles.Poset._.trans
d_trans_362 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_362 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_362 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_362 T_Poset_314
v3
du_trans_362 ::
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_362 :: T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_362 T_Poset_314
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
         ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0)))
-- Relation.Binary.Bundles.Poset._.∼-resp-≈
d_'8764''45'resp'45''8776'_364 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_364 :: () -> () -> () -> T_Poset_314 -> T_Σ_14
d_'8764''45'resp'45''8776'_364 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314 -> T_Σ_14
du_'8764''45'resp'45''8776'_364 T_Poset_314
v3
du_'8764''45'resp'45''8776'_364 ::
  T_Poset_314 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_364 :: T_Poset_314 -> T_Σ_14
du_'8764''45'resp'45''8776'_364 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_118
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_366 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_366 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_366 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_366 T_Poset_314
v3
du_'8764''45'resp'691''45''8776'_366 ::
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_366 :: T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_366 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_116
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_368 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_368 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_368 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_368 T_Poset_314
v3
du_'8764''45'resp'737''45''8776'_368 ::
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_368 :: T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_368 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_114
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.≲-resp-≈
d_'8818''45'resp'45''8776'_370 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_370 :: () -> () -> () -> T_Poset_314 -> T_Σ_14
d_'8818''45'resp'45''8776'_370 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314 -> T_Σ_14
du_'8818''45'resp'45''8776'_370 T_Poset_314
v3
du_'8818''45'resp'45''8776'_370 ::
  T_Poset_314 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_370 :: T_Poset_314 -> T_Σ_14
du_'8818''45'resp'45''8776'_370 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_112
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_372 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_372 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_372 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_372 T_Poset_314
v3
du_'8818''45'resp'691''45''8776'_372 ::
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_372 :: T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_372 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_106
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_374 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_374 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_374 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_374 T_Poset_314
v3
du_'8818''45'resp'737''45''8776'_374 ::
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_374 :: T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_374 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_100
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.Eq._≈_
d__'8776'__378 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8776'__378 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8776'__378 = () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq._≉_
d__'8777'__380 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8777'__380 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
d__'8777'__380 = () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.Carrier
d_Carrier_382 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_Poset_314 -> ()
d_Carrier_382 :: () -> () -> () -> T_Poset_314 -> ()
d_Carrier_382 = () -> () -> () -> T_Poset_314 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.isEquivalence
d_isEquivalence_384 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_384 :: () -> () -> () -> T_Poset_314 -> T_IsEquivalence_26
d_isEquivalence_384 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> T_IsEquivalence_26
du_isEquivalence_384 T_Poset_314
v3
du_isEquivalence_384 ::
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_384 :: T_Poset_314 -> T_IsEquivalence_26
du_isEquivalence_384 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.Eq.isPartialEquivalence
d_isPartialEquivalence_386 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_386 :: () -> () -> () -> T_Poset_314 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_386 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3
  = T_Poset_314 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_386 T_Poset_314
v3
du_isPartialEquivalence_386 ::
  T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_386 :: T_Poset_314 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_386 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.Poset._.Eq.partialSetoid
d_partialSetoid_388 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> T_PartialSetoid_10
d_partialSetoid_388 :: () -> () -> () -> T_Poset_314 -> T_PartialSetoid_10
d_partialSetoid_388 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> T_PartialSetoid_10
du_partialSetoid_388 T_Poset_314
v3
du_partialSetoid_388 :: T_Poset_314 -> T_PartialSetoid_10
du_partialSetoid_388 :: T_Poset_314 -> T_PartialSetoid_10
du_partialSetoid_388 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.Eq.refl
d_refl_390 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny
d_refl_390 :: () -> () -> () -> T_Poset_314 -> AgdaAny -> AgdaAny
d_refl_390 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> AgdaAny -> AgdaAny
du_refl_390 T_Poset_314
v3
du_refl_390 :: T_Poset_314 -> AgdaAny -> AgdaAny
du_refl_390 :: T_Poset_314 -> AgdaAny -> AgdaAny
du_refl_390 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((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_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.Poset._.Eq.reflexive
d_reflexive_392 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_392 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_392 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_392 T_Poset_314
v3
du_reflexive_392 ::
  T_Poset_314 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_392 :: T_Poset_314 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_392 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.Poset._.Eq.setoid
d_setoid_394 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> T_Setoid_44
d_setoid_394 :: () -> () -> () -> T_Poset_314 -> T_Setoid_44
d_setoid_394 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> T_Setoid_44
du_setoid_394 T_Poset_314
v3
du_setoid_394 :: T_Poset_314 -> T_Setoid_44
du_setoid_394 :: T_Poset_314 -> T_Setoid_44
du_setoid_394 T_Poset_314
v0 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 ((T_Poset_314 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0))
-- Relation.Binary.Bundles.Poset._.Eq.sym
d_sym_396 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_396 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_396 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_396 T_Poset_314
v3
du_sym_396 ::
  T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_396 :: T_Poset_314 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_396 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.Poset._.Eq.trans
d_trans_398 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_398 :: ()
-> ()
-> ()
-> T_Poset_314
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_398 ~()
v0 ~()
v1 ~()
v2 T_Poset_314
v3 = T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_398 T_Poset_314
v3
du_trans_398 ::
  T_Poset_314 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_398 :: T_Poset_314
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_398 T_Poset_314
v0
  = let v1 :: t
v1 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset
d_DecPoset_406 :: p -> p -> p -> ()
d_DecPoset_406 p
a0 p
a1 p
a2 = ()
newtype T_DecPoset_406
  = C_DecPoset'46'constructor_8213 MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_224
-- Relation.Binary.Bundles.DecPoset.Carrier
d_Carrier_422 :: T_DecPoset_406 -> ()
d_Carrier_422 :: T_DecPoset_406 -> ()
d_Carrier_422 = T_DecPoset_406 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._≈_
d__'8776'__424 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8776'__424 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8776'__424 = T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._≤_
d__'8804'__426 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8804'__426 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8804'__426 = T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.isDecPartialOrder
d_isDecPartialOrder_428 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_224
d_isDecPartialOrder_428 :: T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 T_DecPoset_406
v0
  = case T_DecPoset_406 -> T_DecPoset_406
forall a b. a -> b
coe T_DecPoset_406
v0 of
      C_DecPoset'46'constructor_8213 T_IsDecPartialOrder_224
v4 -> T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v4
      T_DecPoset_406
_ -> T_IsDecPartialOrder_224
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecPoset.DPO._≟_
d__'8799'__432 ::
  T_DecPoset_406 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__432 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__432 T_DecPoset_406
v0
  = (T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__236
      ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset.DPO._≤?_
d__'8804''63'__434 ::
  T_DecPoset_406 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__434 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__434 T_DecPoset_406
v0
  = (T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8804''63'__238
      ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset.DPO.isPartialOrder
d_isPartialOrder_440 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
d_isPartialOrder_440 :: T_DecPoset_406 -> T_IsPartialOrder_174
d_isPartialOrder_440 T_DecPoset_406
v0
  = (T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> T_IsPartialOrder_174
forall a b. a -> b
coe
      T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_234
      ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset.poset
d_poset_480 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> T_Poset_314
d_poset_480 :: () -> () -> () -> T_DecPoset_406 -> T_Poset_314
d_poset_480 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_Poset_314
du_poset_480 T_DecPoset_406
v3
du_poset_480 :: T_DecPoset_406 -> T_Poset_314
du_poset_480 :: T_DecPoset_406 -> T_Poset_314
du_poset_480 T_DecPoset_406
v0
  = (T_IsPartialOrder_174 -> T_Poset_314)
-> T_IsPartialOrder_174 -> T_Poset_314
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_Poset_314
C_Poset'46'constructor_6389
      (T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_234
         ((T_DecPoset_406 -> T_IsDecPartialOrder_224)
-> AgdaAny -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0)))
-- Relation.Binary.Bundles.DecPoset._._∼_
d__'8764'__484 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8764'__484 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8764'__484 = () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._≳_
d__'8819'__486 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8819'__486 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8819'__486 = () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._⋦_
d__'8934'__488 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8934'__488 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8934'__488 = () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._⋧_
d__'8935'__490 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8935'__490 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8935'__490 = () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.antisym
d_antisym_492 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_492 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_492 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_492 T_DecPoset_406
v3
du_antisym_492 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_492 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_492 T_DecPoset_406
v0
  = (T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_184
      ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_234
         ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0)))
-- Relation.Binary.Bundles.DecPoset._.isEquivalence
d_isEquivalence_494 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_494 :: () -> () -> () -> T_DecPoset_406 -> T_IsEquivalence_26
d_isEquivalence_494 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_IsEquivalence_26
du_isEquivalence_494 T_DecPoset_406
v3
du_isEquivalence_494 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_494 :: T_DecPoset_406 -> T_IsEquivalence_26
du_isEquivalence_494 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecPoset._.isPreorder
d_isPreorder_496 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_496 :: () -> () -> () -> T_DecPoset_406 -> T_IsPreorder_70
d_isPreorder_496 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_IsPreorder_70
du_isPreorder_496 T_DecPoset_406
v3
du_isPreorder_496 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
du_isPreorder_496 :: T_DecPoset_406 -> T_IsPreorder_70
du_isPreorder_496 T_DecPoset_406
v0
  = (T_IsPartialOrder_174 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
      ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_234
         ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0)))
-- Relation.Binary.Bundles.DecPoset._.preorder
d_preorder_498 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> T_Preorder_132
d_preorder_498 :: () -> () -> () -> T_DecPoset_406 -> T_Preorder_132
d_preorder_498 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_Preorder_132
du_preorder_498 T_DecPoset_406
v3
du_preorder_498 :: T_DecPoset_406 -> T_Preorder_132
du_preorder_498 :: T_DecPoset_406 -> T_Preorder_132
du_preorder_498 T_DecPoset_406
v0
  = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> T_Preorder_132
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 ((T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset._.refl
d_refl_500 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny
d_refl_500 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny
d_refl_500 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> AgdaAny -> AgdaAny
du_refl_500 T_DecPoset_406
v3
du_refl_500 :: T_DecPoset_406 -> AgdaAny -> AgdaAny
du_refl_500 :: T_DecPoset_406 -> AgdaAny -> AgdaAny
du_refl_500 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset._.reflexive
d_reflexive_502 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_502 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_502 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_502 T_DecPoset_406
v3
du_reflexive_502 ::
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_502 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_502 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecPoset._.trans
d_trans_504 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_504 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_504 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_504 T_DecPoset_406
v3
du_trans_504 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_504 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_504 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecPoset._.∼-resp-≈
d_'8764''45'resp'45''8776'_506 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_506 :: () -> () -> () -> T_DecPoset_406 -> T_Σ_14
d_'8764''45'resp'45''8776'_506 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406 -> T_Σ_14
du_'8764''45'resp'45''8776'_506 T_DecPoset_406
v3
du_'8764''45'resp'45''8776'_506 ::
  T_DecPoset_406 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_506 :: T_DecPoset_406 -> T_Σ_14
du_'8764''45'resp'45''8776'_506 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_118
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_508 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_508 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_508 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_508 T_DecPoset_406
v3
du_'8764''45'resp'691''45''8776'_508 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_508 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_508 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_116
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_510 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_510 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_510 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_510 T_DecPoset_406
v3
du_'8764''45'resp'737''45''8776'_510 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_510 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_510 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_114
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset._.≲-resp-≈
d_'8818''45'resp'45''8776'_512 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_512 :: () -> () -> () -> T_DecPoset_406 -> T_Σ_14
d_'8818''45'resp'45''8776'_512 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406 -> T_Σ_14
du_'8818''45'resp'45''8776'_512 T_DecPoset_406
v3
du_'8818''45'resp'45''8776'_512 ::
  T_DecPoset_406 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_512 :: T_DecPoset_406 -> T_Σ_14
du_'8818''45'resp'45''8776'_512 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_112
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_514 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_514 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_514 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_514 T_DecPoset_406
v3
du_'8818''45'resp'691''45''8776'_514 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_514 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_514 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_106
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_516 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_516 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_516 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_516 T_DecPoset_406
v3
du_'8818''45'resp'737''45''8776'_516 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_516 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_516 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_Poset_314
du_poset_480 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_100
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset.Eq.decSetoid
d_decSetoid_520 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> T_DecSetoid_84
d_decSetoid_520 :: () -> () -> () -> T_DecPoset_406 -> T_DecSetoid_84
d_decSetoid_520 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 T_DecPoset_406
v3
du_decSetoid_520 :: T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 :: T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 T_DecPoset_406
v0
  = (T_IsDecEquivalence_44 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_DecSetoid_84
C_DecSetoid'46'constructor_1389
      ((T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_268
         ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0)))
-- Relation.Binary.Bundles.DecPoset.Eq._._≈_
d__'8776'__524 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8776'__524 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8776'__524 = () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.Eq._._≉_
d__'8777'__526 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8777'__526 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
d__'8777'__526 = () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.Eq._._≟_
d__'8799'__528 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__528 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__528 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__528 T_DecPoset_406
v3
du__'8799'__528 ::
  T_DecPoset_406 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__528 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__528 T_DecPoset_406
v0
  = (T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__236
      ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset.Eq._.Carrier
d_Carrier_530 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_DecPoset_406 -> ()
d_Carrier_530 :: () -> () -> () -> T_DecPoset_406 -> ()
d_Carrier_530 = () -> () -> () -> T_DecPoset_406 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.Eq._.isDecEquivalence
d_isDecEquivalence_532 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_532 :: () -> () -> () -> T_DecPoset_406 -> T_IsDecEquivalence_44
d_isDecEquivalence_532 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_IsDecEquivalence_44
du_isDecEquivalence_532 T_DecPoset_406
v3
du_isDecEquivalence_532 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_532 :: T_DecPoset_406 -> T_IsDecEquivalence_44
du_isDecEquivalence_532 T_DecPoset_406
v0
  = (T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_268
      ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset.Eq._.isEquivalence
d_isEquivalence_534 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_534 :: () -> () -> () -> T_DecPoset_406 -> T_IsEquivalence_26
d_isEquivalence_534 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_IsEquivalence_26
du_isEquivalence_534 T_DecPoset_406
v3
du_isEquivalence_534 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_534 :: T_DecPoset_406 -> T_IsEquivalence_26
du_isEquivalence_534 T_DecPoset_406
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
         ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_234
            ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))))
-- Relation.Binary.Bundles.DecPoset.Eq._.isPartialEquivalence
d_isPartialEquivalence_536 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_536 :: () -> () -> () -> T_DecPoset_406 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_536 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3
  = T_DecPoset_406 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_536 T_DecPoset_406
v3
du_isPartialEquivalence_536 ::
  T_DecPoset_406 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_536 :: T_DecPoset_406 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_536 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset.Eq._.partialSetoid
d_partialSetoid_538 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> T_PartialSetoid_10
d_partialSetoid_538 :: () -> () -> () -> T_DecPoset_406 -> T_PartialSetoid_10
d_partialSetoid_538 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_PartialSetoid_10
du_partialSetoid_538 T_DecPoset_406
v3
du_partialSetoid_538 :: T_DecPoset_406 -> T_PartialSetoid_10
du_partialSetoid_538 :: T_DecPoset_406 -> T_PartialSetoid_10
du_partialSetoid_538 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecPoset.Eq._.refl
d_refl_540 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny
d_refl_540 :: () -> () -> () -> T_DecPoset_406 -> AgdaAny -> AgdaAny
d_refl_540 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> AgdaAny -> AgdaAny
du_refl_540 T_DecPoset_406
v3
du_refl_540 :: T_DecPoset_406 -> AgdaAny -> AgdaAny
du_refl_540 :: T_DecPoset_406 -> AgdaAny -> AgdaAny
du_refl_540 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((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_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
            ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecPoset.Eq._.reflexive
d_reflexive_542 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_542 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_542 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_542 T_DecPoset_406
v3
du_reflexive_542 ::
  T_DecPoset_406 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_542 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_542 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.DecPoset.Eq._.setoid
d_setoid_544 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> T_Setoid_44
d_setoid_544 :: () -> () -> () -> T_DecPoset_406 -> T_Setoid_44
d_setoid_544 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> T_Setoid_44
du_setoid_544 T_DecPoset_406
v3
du_setoid_544 :: T_DecPoset_406 -> T_Setoid_44
du_setoid_544 :: T_DecPoset_406 -> T_Setoid_44
du_setoid_544 T_DecPoset_406
v0
  = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 ((T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0))
-- Relation.Binary.Bundles.DecPoset.Eq._.sym
d_sym_546 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_546 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_546 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_546 T_DecPoset_406
v3
du_sym_546 ::
  T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_546 :: T_DecPoset_406 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_546 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecPoset.Eq._.trans
d_trans_548 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_548 :: ()
-> ()
-> ()
-> T_DecPoset_406
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_548 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_406
v3 = T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_548 T_DecPoset_406
v3
du_trans_548 ::
  T_DecPoset_406 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_548 :: T_DecPoset_406
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_548 T_DecPoset_406
v0
  = let v1 :: t
v1 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (T_DecPoset_406 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.StrictPartialOrder
d_StrictPartialOrder_556 :: p -> p -> p -> ()
d_StrictPartialOrder_556 p
a0 p
a1 p
a2 = ()
newtype T_StrictPartialOrder_556
  = C_StrictPartialOrder'46'constructor_11097 MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
-- Relation.Binary.Bundles.StrictPartialOrder.Carrier
d_Carrier_572 :: T_StrictPartialOrder_556 -> ()
d_Carrier_572 :: T_StrictPartialOrder_556 -> ()
d_Carrier_572 = T_StrictPartialOrder_556 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._≈_
d__'8776'__574 ::
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8776'__574 :: T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8776'__574 = T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._<_
d__'60'__576 ::
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'60'__576 :: T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'60'__576 = T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.isStrictPartialOrder
d_isStrictPartialOrder_578 ::
  T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 :: T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 T_StrictPartialOrder_556
v0
  = case T_StrictPartialOrder_556 -> T_StrictPartialOrder_556
forall a b. a -> b
coe T_StrictPartialOrder_556
v0 of
      C_StrictPartialOrder'46'constructor_11097 T_IsStrictPartialOrder_290
v4 -> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v4
      T_StrictPartialOrder_556
_ -> T_IsStrictPartialOrder_290
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.StrictPartialOrder._.<-resp-≈
d_'60''45'resp'45''8776'_582 ::
  T_StrictPartialOrder_556 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_582 :: T_StrictPartialOrder_556 -> T_Σ_14
d_'60''45'resp'45''8776'_582 T_StrictPartialOrder_556
v0
  = (T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_308
      ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_584 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_584 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3
  = T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_584 T_StrictPartialOrder_556
v3
du_'60''45'resp'691''45''8776'_584 ::
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_584 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_584 T_StrictPartialOrder_556
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_328
      ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_586 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_586 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_586 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3
  = T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_586 T_StrictPartialOrder_556
v3
du_'60''45'resp'737''45''8776'_586 ::
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_586 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_586 T_StrictPartialOrder_556
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_330
      ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.asym
d_asym_588 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_588 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_588 = ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.irrefl
d_irrefl_590 ::
  T_StrictPartialOrder_556 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_590 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_590 = T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.isEquivalence
d_isEquivalence_592 ::
  T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_592 :: T_StrictPartialOrder_556 -> T_IsEquivalence_26
d_isEquivalence_592 T_StrictPartialOrder_556
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
      ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.trans
d_trans_594 ::
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_594 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_594 T_StrictPartialOrder_556
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_306
      ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq.setoid
d_setoid_598 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> T_Setoid_44
d_setoid_598 :: () -> () -> () -> T_StrictPartialOrder_556 -> T_Setoid_44
d_setoid_598 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 T_StrictPartialOrder_556
v3
du_setoid_598 :: T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 :: T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 T_StrictPartialOrder_556
v0
  = (T_IsEquivalence_26 -> T_Setoid_44)
-> T_IsEquivalence_26 -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
C_Setoid'46'constructor_733
      (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._._≈_
d__'8776'__602 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8776'__602 :: ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8776'__602 = ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._._≉_
d__'8777'__604 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8777'__604 :: ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8777'__604 = ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.Carrier
d_Carrier_606 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> ()
d_Carrier_606 :: () -> () -> () -> T_StrictPartialOrder_556 -> ()
d_Carrier_606 = () -> () -> () -> T_StrictPartialOrder_556 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_608 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_608 :: () -> () -> () -> T_StrictPartialOrder_556 -> T_IsEquivalence_26
d_isEquivalence_608 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556 -> T_IsEquivalence_26
du_isEquivalence_608 T_StrictPartialOrder_556
v3
du_isEquivalence_608 ::
  T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_608 :: T_StrictPartialOrder_556 -> T_IsEquivalence_26
du_isEquivalence_608 T_StrictPartialOrder_556
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
      ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_610 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_610 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_610 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3
  = T_StrictPartialOrder_556 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_610 T_StrictPartialOrder_556
v3
du_isPartialEquivalence_610 ::
  T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_610 :: T_StrictPartialOrder_556 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_610 T_StrictPartialOrder_556
v0
  = let v1 :: t
v1 = (T_StrictPartialOrder_556 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.partialSetoid
d_partialSetoid_612 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> T_PartialSetoid_10
d_partialSetoid_612 :: () -> () -> () -> T_StrictPartialOrder_556 -> T_PartialSetoid_10
d_partialSetoid_612 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556 -> T_PartialSetoid_10
du_partialSetoid_612 T_StrictPartialOrder_556
v3
du_partialSetoid_612 ::
  T_StrictPartialOrder_556 -> T_PartialSetoid_10
du_partialSetoid_612 :: T_StrictPartialOrder_556 -> T_PartialSetoid_10
du_partialSetoid_612 T_StrictPartialOrder_556
v0
  = (T_Setoid_44 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_StrictPartialOrder_556 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.refl
d_refl_614 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny
d_refl_614 :: () -> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny
d_refl_614 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny
du_refl_614 T_StrictPartialOrder_556
v3
du_refl_614 :: T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny
du_refl_614 :: T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny
du_refl_614 T_StrictPartialOrder_556
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.reflexive
d_reflexive_616 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_616 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_616 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_616 T_StrictPartialOrder_556
v3
du_reflexive_616 ::
  T_StrictPartialOrder_556 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_616 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_616 T_StrictPartialOrder_556
v0
  = let v1 :: t
v1 = (T_StrictPartialOrder_556 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.sym
d_sym_618 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_618 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_618 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_618 T_StrictPartialOrder_556
v3
du_sym_618 ::
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_618 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_618 T_StrictPartialOrder_556
v0
  = let v1 :: t
v1 = (T_StrictPartialOrder_556 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.trans
d_trans_620 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_620 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_556
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_620 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_556
v3 = T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_620 T_StrictPartialOrder_556
v3
du_trans_620 ::
  T_StrictPartialOrder_556 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_620 :: T_StrictPartialOrder_556
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_620 T_StrictPartialOrder_556
v0
  = let v1 :: t
v1 = (T_StrictPartialOrder_556 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_Setoid_44
du_setoid_598 (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder._≮_
d__'8814'__622 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8814'__622 :: ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8814'__622 = ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._>_
d__'62'__628 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'62'__628 :: ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'62'__628 = ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._≯_
d__'8815'__630 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8815'__630 :: ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
d__'8815'__630 = ()
-> () -> () -> T_StrictPartialOrder_556 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder
d_DecStrictPartialOrder_638 :: p -> p -> p -> ()
d_DecStrictPartialOrder_638 p
a0 p
a1 p
a2 = ()
newtype T_DecStrictPartialOrder_638
  = C_DecStrictPartialOrder'46'constructor_13245 MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_336
-- Relation.Binary.Bundles.DecStrictPartialOrder.Carrier
d_Carrier_654 :: T_DecStrictPartialOrder_638 -> ()
d_Carrier_654 :: T_DecStrictPartialOrder_638 -> ()
d_Carrier_654 = T_DecStrictPartialOrder_638 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._≈_
d__'8776'__656 ::
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'8776'__656 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'8776'__656 = T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._<_
d__'60'__658 ::
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'60'__658 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'60'__658 = T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.isDecStrictPartialOrder
d_isDecStrictPartialOrder_660 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 :: T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 T_DecStrictPartialOrder_638
v0
  = case T_DecStrictPartialOrder_638 -> T_DecStrictPartialOrder_638
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0 of
      C_DecStrictPartialOrder'46'constructor_13245 T_IsDecStrictPartialOrder_336
v4 -> T_IsDecStrictPartialOrder_336 -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v4
      T_DecStrictPartialOrder_638
_ -> T_IsDecStrictPartialOrder_336
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO._<?_
d__'60''63'__664 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__664 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'60''63'__664 T_DecStrictPartialOrder_638
v0
  = (T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'60''63'__350
      ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO._≟_
d__'8799'__666 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__666 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__666 T_DecStrictPartialOrder_638
v0
  = (T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__348
      ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.isStrictPartialOrder
d_isStrictPartialOrder_680 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
d_isStrictPartialOrder_680 :: T_DecStrictPartialOrder_638 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_680 T_DecStrictPartialOrder_638
v0
  = (T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
      ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.strictPartialOrder
d_strictPartialOrder_702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556
d_strictPartialOrder_702 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> T_StrictPartialOrder_556
d_strictPartialOrder_702 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3
  = T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556
du_strictPartialOrder_702 T_DecStrictPartialOrder_638
v3
du_strictPartialOrder_702 ::
  T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556
du_strictPartialOrder_702 :: T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556
du_strictPartialOrder_702 T_DecStrictPartialOrder_638
v0
  = (T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556)
-> T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556
C_StrictPartialOrder'46'constructor_11097
      (T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._._>_
d__'62'__706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'62'__706 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
d__'62'__706 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._._≮_
d__'8814'__708 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'8814'__708 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
d__'8814'__708 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._._≯_
d__'8815'__710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'8815'__710 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
d__'8815'__710 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.<-resp-≈
d_'60''45'resp'45''8776'_712 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_712 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> T_Σ_14
d_'60''45'resp'45''8776'_712 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3
  = T_DecStrictPartialOrder_638 -> T_Σ_14
du_'60''45'resp'45''8776'_712 T_DecStrictPartialOrder_638
v3
du_'60''45'resp'45''8776'_712 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_712 :: T_DecStrictPartialOrder_638 -> T_Σ_14
du_'60''45'resp'45''8776'_712 T_DecStrictPartialOrder_638
v0
  = (T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_308
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_714 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_714 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_714 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3
  = T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_714 T_DecStrictPartialOrder_638
v3
du_'60''45'resp'691''45''8776'_714 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_714 :: T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_714 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556)
-> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556
du_strictPartialOrder_702 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_328
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_716 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_716 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3
  = T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_716 T_DecStrictPartialOrder_638
v3
du_'60''45'resp'737''45''8776'_716 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_716 :: T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_716 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556)
-> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_StrictPartialOrder_556
du_strictPartialOrder_702 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_330
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.asym
d_asym_718 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_718 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_718 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.irrefl
d_irrefl_720 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_720 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl_720 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.isEquivalence
d_isEquivalence_722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_722 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> T_IsEquivalence_26
d_isEquivalence_722 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> T_IsEquivalence_26
du_isEquivalence_722 T_DecStrictPartialOrder_638
v3
du_isEquivalence_722 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_722 :: T_DecStrictPartialOrder_638 -> T_IsEquivalence_26
du_isEquivalence_722 T_DecStrictPartialOrder_638
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.trans
d_trans_724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_724 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_724 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_724 T_DecStrictPartialOrder_638
v3
du_trans_724 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_724 :: T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_724 T_DecStrictPartialOrder_638
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_306
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq.decSetoid
d_decSetoid_728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> T_DecSetoid_84
d_decSetoid_728 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> T_DecSetoid_84
d_decSetoid_728 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 T_DecStrictPartialOrder_638
v3
du_decSetoid_728 :: T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 :: T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 T_DecStrictPartialOrder_638
v0
  = (T_IsDecEquivalence_44 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_DecSetoid_84
C_DecSetoid'46'constructor_1389
      ((T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_382
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≈_
d__'8776'__732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'8776'__732 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
d__'8776'__732 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≉_
d__'8777'__734 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> ()
d__'8777'__734 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
d__'8777'__734 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≟_
d__'8799'__736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__736 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__736 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__736 T_DecStrictPartialOrder_638
v3
du__'8799'__736 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__736 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__736 T_DecStrictPartialOrder_638
v0
  = (T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__348
      ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.Carrier
d_Carrier_738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> ()
d_Carrier_738 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> ()
d_Carrier_738 = () -> () -> () -> T_DecStrictPartialOrder_638 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isDecEquivalence
d_isDecEquivalence_740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_740 :: ()
-> () -> () -> T_DecStrictPartialOrder_638 -> T_IsDecEquivalence_44
d_isDecEquivalence_740 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> T_IsDecEquivalence_44
du_isDecEquivalence_740 T_DecStrictPartialOrder_638
v3
du_isDecEquivalence_740 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_740 :: T_DecStrictPartialOrder_638 -> T_IsDecEquivalence_44
du_isDecEquivalence_740 T_DecStrictPartialOrder_638
v0
  = (T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_382
      ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_742 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> T_IsEquivalence_26
d_isEquivalence_742 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> T_IsEquivalence_26
du_isEquivalence_742 T_DecStrictPartialOrder_638
v3
du_isEquivalence_742 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_742 :: T_DecStrictPartialOrder_638 -> T_IsEquivalence_26
du_isEquivalence_742 T_DecStrictPartialOrder_638
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_744 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_744 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_744 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3
  = T_DecStrictPartialOrder_638 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_744 T_DecStrictPartialOrder_638
v3
du_isPartialEquivalence_744 ::
  T_DecStrictPartialOrder_638 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_744 :: T_DecStrictPartialOrder_638 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_744 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.partialSetoid
d_partialSetoid_746 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> T_PartialSetoid_10
d_partialSetoid_746 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> T_PartialSetoid_10
d_partialSetoid_746 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> T_PartialSetoid_10
du_partialSetoid_746 T_DecStrictPartialOrder_638
v3
du_partialSetoid_746 ::
  T_DecStrictPartialOrder_638 -> T_PartialSetoid_10
du_partialSetoid_746 :: T_DecStrictPartialOrder_638 -> T_PartialSetoid_10
du_partialSetoid_746 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.refl
d_refl_748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny
d_refl_748 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny
d_refl_748 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny
du_refl_748 T_DecStrictPartialOrder_638
v3
du_refl_748 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny
du_refl_748 :: T_DecStrictPartialOrder_638 -> AgdaAny -> AgdaAny
du_refl_748 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((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_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
            ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.reflexive
d_reflexive_750 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_750 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_750 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_750 T_DecStrictPartialOrder_638
v3
du_reflexive_750 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_750 :: T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_750 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.setoid
d_setoid_752 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 -> T_Setoid_44
d_setoid_752 :: () -> () -> () -> T_DecStrictPartialOrder_638 -> T_Setoid_44
d_setoid_752 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638 -> T_Setoid_44
du_setoid_752 T_DecStrictPartialOrder_638
v3
du_setoid_752 :: T_DecStrictPartialOrder_638 -> T_Setoid_44
du_setoid_752 :: T_DecStrictPartialOrder_638 -> T_Setoid_44
du_setoid_752 T_DecStrictPartialOrder_638
v0
  = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 ((T_DecStrictPartialOrder_638 -> T_DecSetoid_84)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.sym
d_sym_754 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_754 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_754 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_754 T_DecStrictPartialOrder_638
v3
du_sym_754 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_754 :: T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_754 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.trans
d_trans_756 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_756 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_638
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_756 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_638
v3 = T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_756 T_DecStrictPartialOrder_638
v3
du_trans_756 ::
  T_DecStrictPartialOrder_638 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_756 :: T_DecStrictPartialOrder_638
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_756 T_DecStrictPartialOrder_638
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (T_DecStrictPartialOrder_638 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder
d_TotalOrder_764 :: p -> p -> p -> ()
d_TotalOrder_764 p
a0 p
a1 p
a2 = ()
newtype T_TotalOrder_764
  = C_TotalOrder'46'constructor_15747 MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_404
-- Relation.Binary.Bundles.TotalOrder.Carrier
d_Carrier_780 :: T_TotalOrder_764 -> ()
d_Carrier_780 :: T_TotalOrder_764 -> ()
d_Carrier_780 = T_TotalOrder_764 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._≈_
d__'8776'__782 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8776'__782 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8776'__782 = T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._≤_
d__'8804'__784 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8804'__784 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8804'__784 = T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder.isTotalOrder
d_isTotalOrder_786 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_404
d_isTotalOrder_786 :: T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 T_TotalOrder_764
v0
  = case T_TotalOrder_764 -> T_TotalOrder_764
forall a b. a -> b
coe T_TotalOrder_764
v0 of
      C_TotalOrder'46'constructor_15747 T_IsTotalOrder_404
v4 -> T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v4
      T_TotalOrder_764
_ -> T_IsTotalOrder_404
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.TotalOrder._.isPartialOrder
d_isPartialOrder_790 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
d_isPartialOrder_790 :: T_TotalOrder_764 -> T_IsPartialOrder_174
d_isPartialOrder_790 T_TotalOrder_764
v0
  = (T_IsTotalOrder_404 -> T_IsPartialOrder_174)
-> AgdaAny -> T_IsPartialOrder_174
forall a b. a -> b
coe
      T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
      ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0))
-- Relation.Binary.Bundles.TotalOrder._.isTotalPreorder
d_isTotalPreorder_792 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_124
d_isTotalPreorder_792 :: () -> () -> () -> T_TotalOrder_764 -> T_IsTotalPreorder_124
d_isTotalPreorder_792 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_IsTotalPreorder_124
du_isTotalPreorder_792 T_TotalOrder_764
v3
du_isTotalPreorder_792 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_124
du_isTotalPreorder_792 :: T_TotalOrder_764 -> T_IsTotalPreorder_124
du_isTotalPreorder_792 T_TotalOrder_764
v0
  = (T_IsTotalOrder_404 -> T_IsTotalPreorder_124)
-> AgdaAny -> T_IsTotalPreorder_124
forall a b. a -> b
coe
      T_IsTotalOrder_404 -> T_IsTotalPreorder_124
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_454
      ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0))
-- Relation.Binary.Bundles.TotalOrder._.total
d_total_794 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_794 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_794 T_TotalOrder_764
v0
  = (T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_414
      ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0))
-- Relation.Binary.Bundles.TotalOrder.poset
d_poset_796 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> T_Poset_314
d_poset_796 :: () -> () -> () -> T_TotalOrder_764 -> T_Poset_314
d_poset_796 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_Poset_314
du_poset_796 T_TotalOrder_764
v3
du_poset_796 :: T_TotalOrder_764 -> T_Poset_314
du_poset_796 :: T_TotalOrder_764 -> T_Poset_314
du_poset_796 T_TotalOrder_764
v0
  = (T_IsPartialOrder_174 -> T_Poset_314)
-> T_IsPartialOrder_174 -> T_Poset_314
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_Poset_314
C_Poset'46'constructor_6389
      (T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
         ((T_TotalOrder_764 -> T_IsTotalOrder_404)
-> AgdaAny -> T_IsTotalOrder_404
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0)))
-- Relation.Binary.Bundles.TotalOrder._._∼_
d__'8764'__800 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8764'__800 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8764'__800 = () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._≳_
d__'8819'__802 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8819'__802 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8819'__802 = () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._⋦_
d__'8934'__804 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8934'__804 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8934'__804 = () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._⋧_
d__'8935'__806 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8935'__806 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8935'__806 = () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.antisym
d_antisym_808 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_808 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_808 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_808 T_TotalOrder_764
v3
du_antisym_808 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_808 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_808 T_TotalOrder_764
v0
  = (T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_184
      ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
         ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0)))
-- Relation.Binary.Bundles.TotalOrder._.isEquivalence
d_isEquivalence_810 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_810 :: () -> () -> () -> T_TotalOrder_764 -> T_IsEquivalence_26
d_isEquivalence_810 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_IsEquivalence_26
du_isEquivalence_810 T_TotalOrder_764
v3
du_isEquivalence_810 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_810 :: T_TotalOrder_764 -> T_IsEquivalence_26
du_isEquivalence_810 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.TotalOrder._.isPreorder
d_isPreorder_812 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_812 :: () -> () -> () -> T_TotalOrder_764 -> T_IsPreorder_70
d_isPreorder_812 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_IsPreorder_70
du_isPreorder_812 T_TotalOrder_764
v3
du_isPreorder_812 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
du_isPreorder_812 :: T_TotalOrder_764 -> T_IsPreorder_70
du_isPreorder_812 T_TotalOrder_764
v0
  = (T_IsPartialOrder_174 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
      ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
         ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0)))
-- Relation.Binary.Bundles.TotalOrder._.preorder
d_preorder_814 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> T_Preorder_132
d_preorder_814 :: () -> () -> () -> T_TotalOrder_764 -> T_Preorder_132
d_preorder_814 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_Preorder_132
du_preorder_814 T_TotalOrder_764
v3
du_preorder_814 :: T_TotalOrder_764 -> T_Preorder_132
du_preorder_814 :: T_TotalOrder_764 -> T_Preorder_132
du_preorder_814 T_TotalOrder_764
v0
  = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> T_Preorder_132
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 ((T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0))
-- Relation.Binary.Bundles.TotalOrder._.refl
d_refl_816 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny
d_refl_816 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny
d_refl_816 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> AgdaAny -> AgdaAny
du_refl_816 T_TotalOrder_764
v3
du_refl_816 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny
du_refl_816 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny
du_refl_816 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.reflexive
d_reflexive_818 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_818 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_818 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_818 T_TotalOrder_764
v3
du_reflexive_818 ::
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_818 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_818 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.TotalOrder._.trans
d_trans_820 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_820 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_820 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_820 T_TotalOrder_764
v3
du_trans_820 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_820 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_820 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.TotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_822 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_822 :: () -> () -> () -> T_TotalOrder_764 -> T_Σ_14
d_'8764''45'resp'45''8776'_822 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764 -> T_Σ_14
du_'8764''45'resp'45''8776'_822 T_TotalOrder_764
v3
du_'8764''45'resp'45''8776'_822 ::
  T_TotalOrder_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_822 :: T_TotalOrder_764 -> T_Σ_14
du_'8764''45'resp'45''8776'_822 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_118
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_824 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_824 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_824 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_824 T_TotalOrder_764
v3
du_'8764''45'resp'691''45''8776'_824 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_824 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_824 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_116
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_826 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_826 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_826 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_826 T_TotalOrder_764
v3
du_'8764''45'resp'737''45''8776'_826 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_826 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_826 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_114
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_828 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_828 :: () -> () -> () -> T_TotalOrder_764 -> T_Σ_14
d_'8818''45'resp'45''8776'_828 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764 -> T_Σ_14
du_'8818''45'resp'45''8776'_828 T_TotalOrder_764
v3
du_'8818''45'resp'45''8776'_828 ::
  T_TotalOrder_764 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_828 :: T_TotalOrder_764 -> T_Σ_14
du_'8818''45'resp'45''8776'_828 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_112
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_830 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_830 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_830 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_830 T_TotalOrder_764
v3
du_'8818''45'resp'691''45''8776'_830 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_830 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_830 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_106
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_832 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_832 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_832 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_832 T_TotalOrder_764
v3
du_'8818''45'resp'737''45''8776'_832 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_832 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_832 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_100
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq._≈_
d__'8776'__836 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8776'__836 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8776'__836 = () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq._≉_
d__'8777'__838 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8777'__838 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
d__'8777'__838 = () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.Carrier
d_Carrier_840 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_TotalOrder_764 -> ()
d_Carrier_840 :: () -> () -> () -> T_TotalOrder_764 -> ()
d_Carrier_840 = () -> () -> () -> T_TotalOrder_764 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.isEquivalence
d_isEquivalence_842 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_842 :: () -> () -> () -> T_TotalOrder_764 -> T_IsEquivalence_26
d_isEquivalence_842 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_IsEquivalence_26
du_isEquivalence_842 T_TotalOrder_764
v3
du_isEquivalence_842 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_842 :: T_TotalOrder_764 -> T_IsEquivalence_26
du_isEquivalence_842 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_844 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_844 :: () -> () -> () -> T_TotalOrder_764 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_844 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3
  = T_TotalOrder_764 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_844 T_TotalOrder_764
v3
du_isPartialEquivalence_844 ::
  T_TotalOrder_764 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_844 :: T_TotalOrder_764 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_844 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.partialSetoid
d_partialSetoid_846 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> T_PartialSetoid_10
d_partialSetoid_846 :: () -> () -> () -> T_TotalOrder_764 -> T_PartialSetoid_10
d_partialSetoid_846 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_PartialSetoid_10
du_partialSetoid_846 T_TotalOrder_764
v3
du_partialSetoid_846 :: T_TotalOrder_764 -> T_PartialSetoid_10
du_partialSetoid_846 :: T_TotalOrder_764 -> T_PartialSetoid_10
du_partialSetoid_846 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.refl
d_refl_848 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny
d_refl_848 :: () -> () -> () -> T_TotalOrder_764 -> AgdaAny -> AgdaAny
d_refl_848 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> AgdaAny -> AgdaAny
du_refl_848 T_TotalOrder_764
v3
du_refl_848 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny
du_refl_848 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny
du_refl_848 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((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_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.reflexive
d_reflexive_850 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_850 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_850 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_850 T_TotalOrder_764
v3
du_reflexive_850 ::
  T_TotalOrder_764 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_850 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_850 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.TotalOrder._.Eq.setoid
d_setoid_852 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> T_Setoid_44
d_setoid_852 :: () -> () -> () -> T_TotalOrder_764 -> T_Setoid_44
d_setoid_852 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_Setoid_44
du_setoid_852 T_TotalOrder_764
v3
du_setoid_852 :: T_TotalOrder_764 -> T_Setoid_44
du_setoid_852 :: T_TotalOrder_764 -> T_Setoid_44
du_setoid_852 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> T_Setoid_44
forall a b. a -> b
coe ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 ((T_Poset_314 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalOrder._.Eq.sym
d_sym_854 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_854 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_854 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_854 T_TotalOrder_764
v3
du_sym_854 ::
  T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_854 :: T_TotalOrder_764 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_854 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.trans
d_trans_856 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_856 :: ()
-> ()
-> ()
-> T_TotalOrder_764
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_856 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_856 T_TotalOrder_764
v3
du_trans_856 ::
  T_TotalOrder_764 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_856 :: T_TotalOrder_764
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_856 T_TotalOrder_764
v0
  = let v1 :: t
v1 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_180 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.TotalOrder.totalPreorder
d_totalPreorder_858 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_764 -> T_TotalPreorder_222
d_totalPreorder_858 :: () -> () -> () -> T_TotalOrder_764 -> T_TotalPreorder_222
d_totalPreorder_858 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_764
v3 = T_TotalOrder_764 -> T_TotalPreorder_222
du_totalPreorder_858 T_TotalOrder_764
v3
du_totalPreorder_858 :: T_TotalOrder_764 -> T_TotalPreorder_222
du_totalPreorder_858 :: T_TotalOrder_764 -> T_TotalPreorder_222
du_totalPreorder_858 T_TotalOrder_764
v0
  = (T_IsTotalPreorder_124 -> T_TotalPreorder_222)
-> AgdaAny -> T_TotalPreorder_222
forall a b. a -> b
coe
      T_IsTotalPreorder_124 -> T_TotalPreorder_222
C_TotalPreorder'46'constructor_4573
      ((T_IsTotalOrder_404 -> T_IsTotalPreorder_124) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_404 -> T_IsTotalPreorder_124
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_454
         ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (T_TotalOrder_764 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764
v0)))
-- Relation.Binary.Bundles.DecTotalOrder
d_DecTotalOrder_866 :: p -> p -> p -> ()
d_DecTotalOrder_866 p
a0 p
a1 p
a2 = ()
newtype T_DecTotalOrder_866
  = C_DecTotalOrder'46'constructor_17849 MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_460
-- Relation.Binary.Bundles.DecTotalOrder.Carrier
d_Carrier_882 :: T_DecTotalOrder_866 -> ()
d_Carrier_882 :: T_DecTotalOrder_866 -> ()
d_Carrier_882 = T_DecTotalOrder_866 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._≈_
d__'8776'__884 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8776'__884 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8776'__884 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._≤_
d__'8804'__886 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8804'__886 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8804'__886 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder.isDecTotalOrder
d_isDecTotalOrder_888 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_460
d_isDecTotalOrder_888 :: T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 T_DecTotalOrder_866
v0
  = case T_DecTotalOrder_866 -> T_DecTotalOrder_866
forall a b. a -> b
coe T_DecTotalOrder_866
v0 of
      C_DecTotalOrder'46'constructor_17849 T_IsDecTotalOrder_460
v4 -> T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v4
      T_DecTotalOrder_866
_ -> T_IsDecTotalOrder_460
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecTotalOrder.DTO._≟_
d__'8799'__892 ::
  T_DecTotalOrder_866 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__892 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__892 T_DecTotalOrder_866
v0
  = (T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__472
      ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO._≤?_
d__'8804''63'__894 ::
  T_DecTotalOrder_866 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__894 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__894 T_DecTotalOrder_866
v0
  = (T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8804''63'__474
      ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isDecPartialOrder
d_isDecPartialOrder_898 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_224
d_isDecPartialOrder_898 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_898 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866 -> T_IsDecPartialOrder_224
du_isDecPartialOrder_898 T_DecTotalOrder_866
v3
du_isDecPartialOrder_898 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_224
du_isDecPartialOrder_898 :: T_DecTotalOrder_866 -> T_IsDecPartialOrder_224
du_isDecPartialOrder_898 T_DecTotalOrder_866
v0
  = (T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224)
-> AgdaAny -> T_IsDecPartialOrder_224
forall a b. a -> b
coe
      T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224
MAlonzo.Code.Relation.Binary.Structures.du_isDecPartialOrder_508
      ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isTotalOrder
d_isTotalOrder_906 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_404
d_isTotalOrder_906 :: T_DecTotalOrder_866 -> T_IsTotalOrder_404
d_isTotalOrder_906 T_DecTotalOrder_866
v0
  = (T_IsDecTotalOrder_460 -> T_IsTotalOrder_404)
-> AgdaAny -> T_IsTotalOrder_404
forall a b. a -> b
coe
      T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_470
      ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder.totalOrder
d_totalOrder_948 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_TotalOrder_764
d_totalOrder_948 :: () -> () -> () -> T_DecTotalOrder_866 -> T_TotalOrder_764
d_totalOrder_948 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 T_DecTotalOrder_866
v3
du_totalOrder_948 :: T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 :: T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 T_DecTotalOrder_866
v0
  = (T_IsTotalOrder_404 -> T_TotalOrder_764)
-> T_IsTotalOrder_404 -> T_TotalOrder_764
forall a b. a -> b
coe
      T_IsTotalOrder_404 -> T_TotalOrder_764
C_TotalOrder'46'constructor_15747
      (T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_470
         ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._._∼_
d__'8764'__952 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8764'__952 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8764'__952 = () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._≳_
d__'8819'__954 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8819'__954 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8819'__954 = () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._⋦_
d__'8934'__956 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8934'__956 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8934'__956 = () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._⋧_
d__'8935'__958 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8935'__958 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8935'__958 = () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.antisym
d_antisym_960 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_960 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_960 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_960 T_DecTotalOrder_866
v3
du_antisym_960 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_960 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_960 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_184
         ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
            ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecTotalOrder._.isEquivalence
d_isEquivalence_962 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_962 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsEquivalence_26
d_isEquivalence_962 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_IsEquivalence_26
du_isEquivalence_962 T_DecTotalOrder_866
v3
du_isEquivalence_962 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_962 :: T_DecTotalOrder_866 -> T_IsEquivalence_26
du_isEquivalence_962 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
               ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.isPartialOrder
d_isPartialOrder_964 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
d_isPartialOrder_964 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsPartialOrder_174
d_isPartialOrder_964 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_IsPartialOrder_174
du_isPartialOrder_964 T_DecTotalOrder_866
v3
du_isPartialOrder_964 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
du_isPartialOrder_964 :: T_DecTotalOrder_866 -> T_IsPartialOrder_174
du_isPartialOrder_964 T_DecTotalOrder_866
v0
  = (T_IsTotalOrder_404 -> T_IsPartialOrder_174)
-> AgdaAny -> T_IsPartialOrder_174
forall a b. a -> b
coe
      T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
      ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_470
         ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.isPreorder
d_isPreorder_966 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_966 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsPreorder_70
d_isPreorder_966 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_IsPreorder_70
du_isPreorder_966 T_DecTotalOrder_866
v3
du_isPreorder_966 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
du_isPreorder_966 :: T_DecTotalOrder_866 -> T_IsPreorder_70
du_isPreorder_966 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
         ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_404 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_412
            ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecTotalOrder._.isTotalPreorder
d_isTotalPreorder_968 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_124
d_isTotalPreorder_968 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsTotalPreorder_124
d_isTotalPreorder_968 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_IsTotalPreorder_124
du_isTotalPreorder_968 T_DecTotalOrder_866
v3
du_isTotalPreorder_968 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_124
du_isTotalPreorder_968 :: T_DecTotalOrder_866 -> T_IsTotalPreorder_124
du_isTotalPreorder_968 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_IsTotalPreorder_124
forall a b. a -> b
coe
      ((T_IsTotalOrder_404 -> T_IsTotalPreorder_124) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_404 -> T_IsTotalPreorder_124
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_454
         ((T_TotalOrder_764 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_IsTotalOrder_404
d_isTotalOrder_786 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.poset
d_poset_970 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_Poset_314
d_poset_970 :: () -> () -> () -> T_DecTotalOrder_866 -> T_Poset_314
d_poset_970 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_Poset_314
du_poset_970 T_DecTotalOrder_866
v3
du_poset_970 :: T_DecTotalOrder_866 -> T_Poset_314
du_poset_970 :: T_DecTotalOrder_866 -> T_Poset_314
du_poset_970 T_DecTotalOrder_866
v0 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> T_Poset_314
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 ((T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.preorder
d_preorder_972 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_Preorder_132
d_preorder_972 :: () -> () -> () -> T_DecTotalOrder_866 -> T_Preorder_132
d_preorder_972 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_Preorder_132
du_preorder_972 T_DecTotalOrder_866
v3
du_preorder_972 :: T_DecTotalOrder_866 -> T_Preorder_132
du_preorder_972 :: T_DecTotalOrder_866 -> T_Preorder_132
du_preorder_972 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_Preorder_132
forall a b. a -> b
coe ((T_Poset_314 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 ((T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.refl
d_refl_974 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
d_refl_974 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
d_refl_974 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
du_refl_974 T_DecTotalOrder_866
v3
du_refl_974 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
du_refl_974 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
du_refl_974 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.reflexive
d_reflexive_976 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_976 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_976 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_976 T_DecTotalOrder_866
v3
du_reflexive_976 ::
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_976 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_976 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
               ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.total
d_total_978 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_978 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_total_978 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_total_978 T_DecTotalOrder_866
v3
du_total_978 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_total_978 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_total_978 T_DecTotalOrder_866
v0
  = (T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_414
      ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_470
         ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.totalPreorder
d_totalPreorder_980 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_TotalPreorder_222
d_totalPreorder_980 :: () -> () -> () -> T_DecTotalOrder_866 -> T_TotalPreorder_222
d_totalPreorder_980 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_TotalPreorder_222
du_totalPreorder_980 T_DecTotalOrder_866
v3
du_totalPreorder_980 :: T_DecTotalOrder_866 -> T_TotalPreorder_222
du_totalPreorder_980 :: T_DecTotalOrder_866 -> T_TotalPreorder_222
du_totalPreorder_980 T_DecTotalOrder_866
v0
  = (T_TotalOrder_764 -> T_TotalPreorder_222)
-> AgdaAny -> T_TotalPreorder_222
forall a b. a -> b
coe T_TotalOrder_764 -> T_TotalPreorder_222
du_totalPreorder_858 ((T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.trans
d_trans_982 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_982 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_982 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_982 T_DecTotalOrder_866
v3
du_trans_982 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_982 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_982 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
               ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_314 -> T_IsPartialOrder_174
d_isPartialOrder_336 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_984 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_984 :: () -> () -> () -> T_DecTotalOrder_866 -> T_Σ_14
d_'8764''45'resp'45''8776'_984 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866 -> T_Σ_14
du_'8764''45'resp'45''8776'_984 T_DecTotalOrder_866
v3
du_'8764''45'resp'45''8776'_984 ::
  T_DecTotalOrder_866 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_984 :: T_DecTotalOrder_866 -> T_Σ_14
du_'8764''45'resp'45''8776'_984 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_118
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_986 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_986 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_986 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_986 T_DecTotalOrder_866
v3
du_'8764''45'resp'691''45''8776'_986 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_986 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_986 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_116
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_988 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_988 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_988 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_988 T_DecTotalOrder_866
v3
du_'8764''45'resp'737''45''8776'_988 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_988 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_988 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_114
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_990 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_990 :: () -> () -> () -> T_DecTotalOrder_866 -> T_Σ_14
d_'8818''45'resp'45''8776'_990 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866 -> T_Σ_14
du_'8818''45'resp'45''8776'_990 T_DecTotalOrder_866
v3
du_'8818''45'resp'45''8776'_990 ::
  T_DecTotalOrder_866 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_990 :: T_DecTotalOrder_866 -> T_Σ_14
du_'8818''45'resp'45''8776'_990 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_112
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_992 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_992 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_992 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_992 T_DecTotalOrder_866
v3
du_'8818''45'resp'691''45''8776'_992 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_992 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_992 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_106
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_994 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_994 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_994 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_994 T_DecTotalOrder_866
v3
du_'8818''45'resp'737''45''8776'_994 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_994 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_994 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_TotalOrder_764) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_TotalOrder_764
du_totalOrder_948 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_TotalOrder_764 -> T_Poset_314) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_764 -> T_Poset_314
du_poset_796 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Poset_314 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_314 -> T_Preorder_132
du_preorder_344 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_100
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder.decPoset
d_decPoset_996 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_DecPoset_406
d_decPoset_996 :: () -> () -> () -> T_DecTotalOrder_866 -> T_DecPoset_406
d_decPoset_996 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 T_DecTotalOrder_866
v3
du_decPoset_996 :: T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 :: T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 T_DecTotalOrder_866
v0
  = (T_IsDecPartialOrder_224 -> T_DecPoset_406)
-> AgdaAny -> T_DecPoset_406
forall a b. a -> b
coe
      T_IsDecPartialOrder_224 -> T_DecPoset_406
C_DecPoset'46'constructor_8213
      ((T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224
MAlonzo.Code.Relation.Binary.Structures.du_isDecPartialOrder_508
         ((T_DecTotalOrder_866 -> T_IsDecTotalOrder_460)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_IsDecTotalOrder_460
d_isDecTotalOrder_888 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≈_
d__'8776'__1002 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1002 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1002 = () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≉_
d__'8777'__1004 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1004 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1004 = () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≟_
d__'8799'__1006 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1006 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1006 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1006 T_DecTotalOrder_866
v3
du__'8799'__1006 ::
  T_DecTotalOrder_866 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1006 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1006 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__236
         ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.Carrier
d_Carrier_1008 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_DecTotalOrder_866 -> ()
d_Carrier_1008 :: () -> () -> () -> T_DecTotalOrder_866 -> ()
d_Carrier_1008 = () -> () -> () -> T_DecTotalOrder_866 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.decSetoid
d_decSetoid_1010 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_DecSetoid_84
d_decSetoid_1010 :: () -> () -> () -> T_DecTotalOrder_866 -> T_DecSetoid_84
d_decSetoid_1010 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_DecSetoid_84
du_decSetoid_1010 T_DecTotalOrder_866
v3
du_decSetoid_1010 :: T_DecTotalOrder_866 -> T_DecSetoid_84
du_decSetoid_1010 :: T_DecTotalOrder_866 -> T_DecSetoid_84
du_decSetoid_1010 T_DecTotalOrder_866
v0
  = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 ((T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isDecEquivalence
d_isDecEquivalence_1012 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_1012 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsDecEquivalence_44
d_isDecEquivalence_1012 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866 -> T_IsDecEquivalence_44
du_isDecEquivalence_1012 T_DecTotalOrder_866
v3
du_isDecEquivalence_1012 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_1012 :: T_DecTotalOrder_866 -> T_IsDecEquivalence_44
du_isDecEquivalence_1012 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      ((T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_268
         ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isEquivalence
d_isEquivalence_1014 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1014 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsEquivalence_26
d_isEquivalence_1014 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_IsEquivalence_26
du_isEquivalence_1014 T_DecTotalOrder_866
v3
du_isEquivalence_1014 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_1014 :: T_DecTotalOrder_866 -> T_IsEquivalence_26
du_isEquivalence_1014 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182
            ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_234
               ((T_DecPoset_406 -> T_IsDecPartialOrder_224) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_428 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1016 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1016 :: () -> () -> () -> T_DecTotalOrder_866 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1016 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3
  = T_DecTotalOrder_866 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1016 T_DecTotalOrder_866
v3
du_isPartialEquivalence_1016 ::
  T_DecTotalOrder_866 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1016 :: T_DecTotalOrder_866 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1016 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.partialSetoid
d_partialSetoid_1018 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_PartialSetoid_10
d_partialSetoid_1018 :: () -> () -> () -> T_DecTotalOrder_866 -> T_PartialSetoid_10
d_partialSetoid_1018 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_PartialSetoid_10
du_partialSetoid_1018 T_DecTotalOrder_866
v3
du_partialSetoid_1018 :: T_DecTotalOrder_866 -> T_PartialSetoid_10
du_partialSetoid_1018 :: T_DecTotalOrder_866 -> T_PartialSetoid_10
du_partialSetoid_1018 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.refl
d_refl_1020 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
d_refl_1020 :: () -> () -> () -> T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
d_refl_1020 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
du_refl_1020 T_DecTotalOrder_866
v3
du_refl_1020 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
du_refl_1020 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny
du_refl_1020 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((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_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
               ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.reflexive
d_reflexive_1022 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1022 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1022 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1022 T_DecTotalOrder_866
v3
du_reflexive_1022 ::
  T_DecTotalOrder_866 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1022 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1022 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.setoid
d_setoid_1024 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> T_Setoid_44
d_setoid_1024 :: () -> () -> () -> T_DecTotalOrder_866 -> T_Setoid_44
d_setoid_1024 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> T_Setoid_44
du_setoid_1024 T_DecTotalOrder_866
v3
du_setoid_1024 :: T_DecTotalOrder_866 -> T_Setoid_44
du_setoid_1024 :: T_DecTotalOrder_866 -> T_Setoid_44
du_setoid_1024 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> T_Setoid_44
forall a b. a -> b
coe ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 ((T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.sym
d_sym_1026 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1026 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1026 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1026 T_DecTotalOrder_866
v3
du_sym_1026 ::
  T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1026 :: T_DecTotalOrder_866 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1026 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.trans
d_trans_1028 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1028 :: ()
-> ()
-> ()
-> T_DecTotalOrder_866
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1028 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_866
v3 = T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1028 T_DecTotalOrder_866
v3
du_trans_1028 ::
  T_DecTotalOrder_866 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1028 :: T_DecTotalOrder_866
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1028 T_DecTotalOrder_866
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_866 -> T_DecPoset_406) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_866 -> T_DecPoset_406
du_decPoset_996 (T_DecTotalOrder_866 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_866
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_406 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_406 -> T_DecSetoid_84
du_decSetoid_520 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder
d_StrictTotalOrder_1036 :: p -> p -> p -> ()
d_StrictTotalOrder_1036 p
a0 p
a1 p
a2 = ()
newtype T_StrictTotalOrder_1036
  = C_StrictTotalOrder'46'constructor_21059 MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_534
-- Relation.Binary.Bundles.StrictTotalOrder.Carrier
d_Carrier_1052 :: T_StrictTotalOrder_1036 -> ()
d_Carrier_1052 :: T_StrictTotalOrder_1036 -> ()
d_Carrier_1052 = T_StrictTotalOrder_1036 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._≈_
d__'8776'__1054 ::
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1054 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1054 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._<_
d__'60'__1056 ::
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'60'__1056 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'60'__1056 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder.isStrictTotalOrder
d_isStrictTotalOrder_1058 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 :: T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 T_StrictTotalOrder_1036
v0
  = case T_StrictTotalOrder_1036 -> T_StrictTotalOrder_1036
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0 of
      C_StrictTotalOrder'46'constructor_21059 T_IsStrictTotalOrder_534
v4 -> T_IsStrictTotalOrder_534 -> T_IsStrictTotalOrder_534
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v4
      T_StrictTotalOrder_1036
_ -> T_IsStrictTotalOrder_534
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.StrictTotalOrder._._<?_
d__'60''63'__1062 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__1062 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__1062 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1062 T_StrictTotalOrder_1036
v3
du__'60''63'__1062 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__1062 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1062 T_StrictTotalOrder_1036
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'60''63'__564
      ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._._≟_
d__'8799'__1064 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1064 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1064 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1064 T_StrictTotalOrder_1036
v3
du__'8799'__1064 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1064 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1064 T_StrictTotalOrder_1036
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'8799'__562
      ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.compare
d_compare_1066 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_1066 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_1066 T_StrictTotalOrder_1036
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158
MAlonzo.Code.Relation.Binary.Structures.d_compare_544
      ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isDecEquivalence
d_isDecEquivalence_1068 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_1068 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_IsDecEquivalence_44
d_isDecEquivalence_1068 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_IsDecEquivalence_44
du_isDecEquivalence_1068 T_StrictTotalOrder_1036
v3
du_isDecEquivalence_1068 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_1068 :: T_StrictTotalOrder_1036 -> T_IsDecEquivalence_44
du_isDecEquivalence_1068 T_StrictTotalOrder_1036
v0
  = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_588
      ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_1070 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_1070 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_1070 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_1070 T_StrictTotalOrder_1036
v3
du_isDecStrictPartialOrder_1070 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_1070 :: T_StrictTotalOrder_1036 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_1070 T_StrictTotalOrder_1036
v0
  = (T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_566
      ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isStrictPartialOrder
d_isStrictPartialOrder_1072 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
d_isStrictPartialOrder_1072 :: T_StrictTotalOrder_1036 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_1072 T_StrictTotalOrder_1036
v0
  = (T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
      ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder.strictPartialOrder
d_strictPartialOrder_1074 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
d_strictPartialOrder_1074 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
d_strictPartialOrder_1074 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 T_StrictTotalOrder_1036
v3
du_strictPartialOrder_1074 ::
  T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 :: T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 T_StrictTotalOrder_1036
v0
  = (T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556)
-> T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556
C_StrictPartialOrder'46'constructor_11097
      (T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> T_IsStrictTotalOrder_534
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._._>_
d__'62'__1078 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'62'__1078 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'62'__1078 = ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._._≮_
d__'8814'__1080 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8814'__1080 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8814'__1080 = ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._._≯_
d__'8815'__1082 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8815'__1082 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8815'__1082 = ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.<-resp-≈
d_'60''45'resp'45''8776'_1084 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_1084 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_Σ_14
d_'60''45'resp'45''8776'_1084 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_Σ_14
du_'60''45'resp'45''8776'_1084 T_StrictTotalOrder_1036
v3
du_'60''45'resp'45''8776'_1084 ::
  T_StrictTotalOrder_1036 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_1084 :: T_StrictTotalOrder_1036 -> T_Σ_14
du_'60''45'resp'45''8776'_1084 T_StrictTotalOrder_1036
v0
  = (T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_308
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_1086 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_1086 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_1086 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1086 T_StrictTotalOrder_1036
v3
du_'60''45'resp'691''45''8776'_1086 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1086 :: T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1086 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_328
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_1088 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_1088 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_1088 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1088 T_StrictTotalOrder_1036
v3
du_'60''45'resp'737''45''8776'_1088 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1088 :: T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1088 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_330
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.asym
d_asym_1090 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_1090 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_1090 = ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.irrefl
d_irrefl_1092 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_1092 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl_1092 = ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.isEquivalence
d_isEquivalence_1094 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1094 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_IsEquivalence_26
d_isEquivalence_1094 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> T_IsEquivalence_26
du_isEquivalence_1094 T_StrictTotalOrder_1036
v3
du_isEquivalence_1094 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_1094 :: T_StrictTotalOrder_1036 -> T_IsEquivalence_26
du_isEquivalence_1094 T_StrictTotalOrder_1036
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.trans
d_trans_1096 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1096 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1096 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1096 T_StrictTotalOrder_1036
v3
du_trans_1096 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1096 :: T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1096 T_StrictTotalOrder_1036
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_306
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder.decStrictPartialOrder
d_decStrictPartialOrder_1098 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
d_decStrictPartialOrder_1098 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> T_DecStrictPartialOrder_638
d_decStrictPartialOrder_1098 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 T_StrictTotalOrder_1036
v3
du_decStrictPartialOrder_1098 ::
  T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 :: T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 T_StrictTotalOrder_1036
v0
  = (T_IsDecStrictPartialOrder_336 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> T_DecStrictPartialOrder_638
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_336 -> T_DecStrictPartialOrder_638
C_DecStrictPartialOrder'46'constructor_13245
      ((T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_566
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≈_
d__'8776'__1104 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1104 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1104 = ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≉_
d__'8777'__1106 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1106 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1106 = ()
-> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≟_
d__'8799'__1108 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1108 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1108 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1108 T_StrictTotalOrder_1036
v3
du__'8799'__1108 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1108 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1108 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__348
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.Carrier
d_Carrier_1110 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> ()
d_Carrier_1110 :: () -> () -> () -> T_StrictTotalOrder_1036 -> ()
d_Carrier_1110 = () -> () -> () -> T_StrictTotalOrder_1036 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.decSetoid
d_decSetoid_1112 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> T_DecSetoid_84
d_decSetoid_1112 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_DecSetoid_84
d_decSetoid_1112 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1112 T_StrictTotalOrder_1036
v3
du_decSetoid_1112 :: T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1112 :: T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1112 T_StrictTotalOrder_1036
v0
  = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 ((T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isDecEquivalence
d_isDecEquivalence_1114 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_1114 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_IsDecEquivalence_44
d_isDecEquivalence_1114 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_IsDecEquivalence_44
du_isDecEquivalence_1114 T_StrictTotalOrder_1036
v3
du_isDecEquivalence_1114 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_1114 :: T_StrictTotalOrder_1036 -> T_IsDecEquivalence_44
du_isDecEquivalence_1114 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      ((T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_382
         ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isEquivalence
d_isEquivalence_1116 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1116 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_IsEquivalence_26
d_isEquivalence_1116 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> T_IsEquivalence_26
du_isEquivalence_1116 T_StrictTotalOrder_1036
v3
du_isEquivalence_1116 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_1116 :: T_StrictTotalOrder_1036 -> T_IsEquivalence_26
du_isEquivalence_1116 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
         ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
            ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1118 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1118 :: ()
-> () -> () -> T_StrictTotalOrder_1036 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1118 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3
  = T_StrictTotalOrder_1036 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1118 T_StrictTotalOrder_1036
v3
du_isPartialEquivalence_1118 ::
  T_StrictTotalOrder_1036 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1118 :: T_StrictTotalOrder_1036 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1118 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.partialSetoid
d_partialSetoid_1120 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> T_PartialSetoid_10
d_partialSetoid_1120 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_PartialSetoid_10
d_partialSetoid_1120 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> T_PartialSetoid_10
du_partialSetoid_1120 T_StrictTotalOrder_1036
v3
du_partialSetoid_1120 ::
  T_StrictTotalOrder_1036 -> T_PartialSetoid_10
du_partialSetoid_1120 :: T_StrictTotalOrder_1036 -> T_PartialSetoid_10
du_partialSetoid_1120 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.refl
d_refl_1122 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny
d_refl_1122 :: () -> () -> () -> T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny
d_refl_1122 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny
du_refl_1122 T_StrictTotalOrder_1036
v3
du_refl_1122 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny
du_refl_1122 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny
du_refl_1122 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((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_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
               ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.reflexive
d_reflexive_1124 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1124 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1124 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1124 T_StrictTotalOrder_1036
v3
du_reflexive_1124 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1124 :: T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1124 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.setoid
d_setoid_1126 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> T_Setoid_44
d_setoid_1126 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_Setoid_44
d_setoid_1126 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> T_Setoid_44
du_setoid_1126 T_StrictTotalOrder_1036
v3
du_setoid_1126 :: T_StrictTotalOrder_1036 -> T_Setoid_44
du_setoid_1126 :: T_StrictTotalOrder_1036 -> T_Setoid_44
du_setoid_1126 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> T_Setoid_44
forall a b. a -> b
coe ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 ((T_DecStrictPartialOrder_638 -> T_DecSetoid_84)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.sym
d_sym_1128 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1128 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1128 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1128 T_StrictTotalOrder_1036
v3
du_sym_1128 ::
  T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1128 :: T_StrictTotalOrder_1036 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1128 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.trans
d_trans_1130 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1130 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1036
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1130 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1130 T_StrictTotalOrder_1036
v3
du_trans_1130 ::
  T_StrictTotalOrder_1036 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1130 :: T_StrictTotalOrder_1036
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1130 T_StrictTotalOrder_1036
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder.decSetoid
d_decSetoid_1132 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1036 -> T_DecSetoid_84
d_decSetoid_1132 :: () -> () -> () -> T_StrictTotalOrder_1036 -> T_DecSetoid_84
d_decSetoid_1132 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1036
v3 = T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1132 T_StrictTotalOrder_1036
v3
du_decSetoid_1132 :: T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1132 :: T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1132 T_StrictTotalOrder_1036
v0
  = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 ((T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (T_StrictTotalOrder_1036 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036
v0))
-- Relation.Binary.Bundles.DenseLinearOrder
d_DenseLinearOrder_1140 :: p -> p -> p -> ()
d_DenseLinearOrder_1140 p
a0 p
a1 p
a2 = ()
newtype T_DenseLinearOrder_1140
  = C_DenseLinearOrder'46'constructor_23325 MAlonzo.Code.Relation.Binary.Structures.T_IsDenseLinearOrder_594
-- Relation.Binary.Bundles.DenseLinearOrder.Carrier
d_Carrier_1156 :: T_DenseLinearOrder_1140 -> ()
d_Carrier_1156 :: T_DenseLinearOrder_1140 -> ()
d_Carrier_1156 = T_DenseLinearOrder_1140 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._≈_
d__'8776'__1158 ::
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1158 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1158 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._<_
d__'60'__1160 ::
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'60'__1160 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'60'__1160 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder.isDenseLinearOrder
d_isDenseLinearOrder_1162 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 :: T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 T_DenseLinearOrder_1140
v0
  = case T_DenseLinearOrder_1140 -> T_DenseLinearOrder_1140
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0 of
      C_DenseLinearOrder'46'constructor_23325 T_IsDenseLinearOrder_594
v4 -> T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v4
      T_DenseLinearOrder_1140
_ -> T_IsDenseLinearOrder_594
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DenseLinearOrder._.dense
d_dense_1166 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_dense_1166 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
d_dense_1166 T_DenseLinearOrder_1140
v0
  = (T_IsDenseLinearOrder_594
 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_dense_604
      ((T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.isStrictTotalOrder
d_isStrictTotalOrder_1168 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1168 :: T_DenseLinearOrder_1140 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1168 T_DenseLinearOrder_1140
v0
  = (T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> T_IsStrictTotalOrder_534
forall a b. a -> b
coe
      T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_602
      ((T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0))
-- Relation.Binary.Bundles.DenseLinearOrder.strictTotalOrder
d_strictTotalOrder_1170 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
d_strictTotalOrder_1170 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
d_strictTotalOrder_1170 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 T_DenseLinearOrder_1140
v3
du_strictTotalOrder_1170 ::
  T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 :: T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 T_DenseLinearOrder_1140
v0
  = (T_IsStrictTotalOrder_534 -> T_StrictTotalOrder_1036)
-> T_IsStrictTotalOrder_534 -> T_StrictTotalOrder_1036
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_StrictTotalOrder_1036
C_StrictTotalOrder'46'constructor_21059
      (T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_602
         ((T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594)
-> AgdaAny -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0)))
-- Relation.Binary.Bundles.DenseLinearOrder._._<?_
d__'60''63'__1174 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__1174 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__1174 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1174 T_DenseLinearOrder_1140
v3
du__'60''63'__1174 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__1174 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1174 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'60''63'__564
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._._>_
d__'62'__1176 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'62'__1176 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'62'__1176 = ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._._≟_
d__'8799'__1178 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1178 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1178 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1178 T_DenseLinearOrder_1140
v3
du__'8799'__1178 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1178 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1178 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'8799'__562
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._._≮_
d__'8814'__1180 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8814'__1180 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8814'__1180 = ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._._≯_
d__'8815'__1182 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8815'__1182 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8815'__1182 = ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.<-resp-≈
d_'60''45'resp'45''8776'_1184 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_1184 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_Σ_14
d_'60''45'resp'45''8776'_1184 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_Σ_14
du_'60''45'resp'45''8776'_1184 T_DenseLinearOrder_1140
v3
du_'60''45'resp'45''8776'_1184 ::
  T_DenseLinearOrder_1140 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_1184 :: T_DenseLinearOrder_1140 -> T_Σ_14
du_'60''45'resp'45''8776'_1184 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_308
         ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
            ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DenseLinearOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_1186 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_1186 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_1186 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1186 T_DenseLinearOrder_1140
v3
du_'60''45'resp'691''45''8776'_1186 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1186 :: T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1186 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_328
            ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_1188 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_1188 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_1188 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1188 T_DenseLinearOrder_1140
v3
du_'60''45'resp'737''45''8776'_1188 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1188 :: T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1188 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_330
            ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_578 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.asym
d_asym_1190 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_1190 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_1190 = ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.compare
d_compare_1192 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_1192 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> T_Tri_158
d_compare_1192 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Tri_158
du_compare_1192 T_DenseLinearOrder_1140
v3
du_compare_1192 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
du_compare_1192 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Tri_158
du_compare_1192 T_DenseLinearOrder_1140
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158
MAlonzo.Code.Relation.Binary.Structures.d_compare_544
      ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_602
         ((T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0)))
-- Relation.Binary.Bundles.DenseLinearOrder._.decSetoid
d_decSetoid_1194 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_DecSetoid_84
d_decSetoid_1194 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_DecSetoid_84
d_decSetoid_1194 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> T_DecSetoid_84
du_decSetoid_1194 T_DenseLinearOrder_1140
v3
du_decSetoid_1194 :: T_DenseLinearOrder_1140 -> T_DecSetoid_84
du_decSetoid_1194 :: T_DenseLinearOrder_1140 -> T_DecSetoid_84
du_decSetoid_1194 T_DenseLinearOrder_1140
v0
  = (T_StrictTotalOrder_1036 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecSetoid_84
du_decSetoid_1132 ((T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.decStrictPartialOrder
d_decStrictPartialOrder_1196 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_DecStrictPartialOrder_638
d_decStrictPartialOrder_1196 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> T_DecStrictPartialOrder_638
d_decStrictPartialOrder_1196 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1196 T_DenseLinearOrder_1140
v3
du_decStrictPartialOrder_1196 ::
  T_DenseLinearOrder_1140 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1196 :: T_DenseLinearOrder_1140 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1196 T_DenseLinearOrder_1140
v0
  = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> T_DecStrictPartialOrder_638
forall a b. a -> b
coe
      T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098
      ((T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.irrefl
d_irrefl_1198 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_1198 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl_1198 = ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.isDecEquivalence
d_isDecEquivalence_1200 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_1200 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_IsDecEquivalence_44
d_isDecEquivalence_1200 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_IsDecEquivalence_44
du_isDecEquivalence_1200 T_DenseLinearOrder_1140
v3
du_isDecEquivalence_1200 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_1200 :: T_DenseLinearOrder_1140 -> T_IsDecEquivalence_44
du_isDecEquivalence_1200 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_588
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_1202 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_1202 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_1202 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_1202 T_DenseLinearOrder_1140
v3
du_isDecStrictPartialOrder_1202 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_1202 :: T_DenseLinearOrder_1140 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_1202 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_566
         ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._.isEquivalence
d_isEquivalence_1204 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1204 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_IsEquivalence_26
d_isEquivalence_1204 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> T_IsEquivalence_26
du_isEquivalence_1204 T_DenseLinearOrder_1140
v3
du_isEquivalence_1204 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_1204 :: T_DenseLinearOrder_1140 -> T_IsEquivalence_26
du_isEquivalence_1204 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
         ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
            ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DenseLinearOrder._.isStrictPartialOrder
d_isStrictPartialOrder_1206 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
d_isStrictPartialOrder_1206 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_1206 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_IsStrictPartialOrder_290
du_isStrictPartialOrder_1206 T_DenseLinearOrder_1140
v3
du_isStrictPartialOrder_1206 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
du_isStrictPartialOrder_1206 :: T_DenseLinearOrder_1140 -> T_IsStrictPartialOrder_290
du_isStrictPartialOrder_1206 T_DenseLinearOrder_1140
v0
  = (T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
      ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_602
         ((T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_IsDenseLinearOrder_594
d_isDenseLinearOrder_1162 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0)))
-- Relation.Binary.Bundles.DenseLinearOrder._.strictPartialOrder
d_strictPartialOrder_1208 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_StrictPartialOrder_556
d_strictPartialOrder_1208 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> T_StrictPartialOrder_556
d_strictPartialOrder_1208 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_StrictPartialOrder_556
du_strictPartialOrder_1208 T_DenseLinearOrder_1140
v3
du_strictPartialOrder_1208 ::
  T_DenseLinearOrder_1140 -> T_StrictPartialOrder_556
du_strictPartialOrder_1208 :: T_DenseLinearOrder_1140 -> T_StrictPartialOrder_556
du_strictPartialOrder_1208 T_DenseLinearOrder_1140
v0
  = (T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556)
-> AgdaAny -> T_StrictPartialOrder_556
forall a b. a -> b
coe
      T_StrictTotalOrder_1036 -> T_StrictPartialOrder_556
du_strictPartialOrder_1074 ((T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.trans
d_trans_1210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1210 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1210 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1210 T_DenseLinearOrder_1140
v3
du_trans_1210 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1210 :: T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1210 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_306
         ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_542
            ((T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_1058 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq._≈_
d__'8776'__1214 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1214 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1214 = ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq._≉_
d__'8777'__1216 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1216 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1216 = ()
-> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq._≟_
d__'8799'__1218 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1218 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1218 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1218 T_DenseLinearOrder_1140
v3
du__'8799'__1218 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1218 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1218 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__348
            ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.Carrier
d_Carrier_1220 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> ()
d_Carrier_1220 :: () -> () -> () -> T_DenseLinearOrder_1140 -> ()
d_Carrier_1220 = () -> () -> () -> T_DenseLinearOrder_1140 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.decSetoid
d_decSetoid_1222 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_DecSetoid_84
d_decSetoid_1222 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_DecSetoid_84
d_decSetoid_1222 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> T_DecSetoid_84
du_decSetoid_1222 T_DenseLinearOrder_1140
v3
du_decSetoid_1222 :: T_DenseLinearOrder_1140 -> T_DecSetoid_84
du_decSetoid_1222 :: T_DenseLinearOrder_1140 -> T_DecSetoid_84
du_decSetoid_1222 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      ((T_DecStrictPartialOrder_638 -> T_DecSetoid_84)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 ((T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.isDecEquivalence
d_isDecEquivalence_1224 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_1224 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_IsDecEquivalence_44
d_isDecEquivalence_1224 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_IsDecEquivalence_44
du_isDecEquivalence_1224 T_DenseLinearOrder_1140
v3
du_isDecEquivalence_1224 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_1224 :: T_DenseLinearOrder_1140 -> T_IsDecEquivalence_44
du_isDecEquivalence_1224 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_382
            ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.isEquivalence
d_isEquivalence_1226 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_1226 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_IsEquivalence_26
d_isEquivalence_1226 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> T_IsEquivalence_26
du_isEquivalence_1226 T_DenseLinearOrder_1140
v3
du_isEquivalence_1226 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_1226 :: T_DenseLinearOrder_1140 -> T_IsEquivalence_26
du_isEquivalence_1226 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
            ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_346
               ((T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_660 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1228 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1228 :: ()
-> () -> () -> T_DenseLinearOrder_1140 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1228 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3
  = T_DenseLinearOrder_1140 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1228 T_DenseLinearOrder_1140
v3
du_isPartialEquivalence_1228 ::
  T_DenseLinearOrder_1140 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1228 :: T_DenseLinearOrder_1140 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1228 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: t
v4 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.partialSetoid
d_partialSetoid_1230 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_PartialSetoid_10
d_partialSetoid_1230 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_PartialSetoid_10
d_partialSetoid_1230 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> T_PartialSetoid_10
du_partialSetoid_1230 T_DenseLinearOrder_1140
v3
du_partialSetoid_1230 ::
  T_DenseLinearOrder_1140 -> T_PartialSetoid_10
du_partialSetoid_1230 :: T_DenseLinearOrder_1140 -> T_PartialSetoid_10
du_partialSetoid_1230 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_70 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.refl
d_refl_1232 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny
d_refl_1232 :: () -> () -> () -> T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny
d_refl_1232 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny
du_refl_1232 T_DenseLinearOrder_1140
v3
du_refl_1232 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny
du_refl_1232 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny
du_refl_1232 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((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_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
                  ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3))))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.reflexive
d_reflexive_1234 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1234 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1234 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1234 T_DenseLinearOrder_1140
v3
du_reflexive_1234 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1234 :: T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1234 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: t
v4 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
                    ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4)) AgdaAny
v5))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.setoid
d_setoid_1236 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> T_Setoid_44
d_setoid_1236 :: () -> () -> () -> T_DenseLinearOrder_1140 -> T_Setoid_44
d_setoid_1236 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> T_Setoid_44
du_setoid_1236 T_DenseLinearOrder_1140
v3
du_setoid_1236 :: T_DenseLinearOrder_1140 -> T_Setoid_44
du_setoid_1236 :: T_DenseLinearOrder_1140 -> T_Setoid_44
du_setoid_1236 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> T_Setoid_44
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 ((T_DecStrictPartialOrder_638 -> T_DecSetoid_84)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.sym
d_sym_1238 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1238 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1238 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1238 T_DenseLinearOrder_1140
v3
du_sym_1238 ::
  T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1238 :: T_DenseLinearOrder_1140 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1238 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: t
v4 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> 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) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.trans
d_trans_1240 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1240 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1140
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1240 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1140
v3 = T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1240 T_DenseLinearOrder_1140
v3
du_trans_1240 ::
  T_DenseLinearOrder_1140 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1240 :: T_DenseLinearOrder_1140
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1240 T_DenseLinearOrder_1140
v0
  = let v1 :: t
v1 = (T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036)
-> AgdaAny -> t
forall a b. a -> b
coe T_DenseLinearOrder_1140 -> T_StrictTotalOrder_1036
du_strictTotalOrder_1170 (T_DenseLinearOrder_1140 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1140
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_1036 -> T_DecStrictPartialOrder_638
du_decStrictPartialOrder_1098 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_DecStrictPartialOrder_638 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_638 -> T_DecSetoid_84
du_decSetoid_728 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: t
v4 = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_108 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
                  ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v4))))))
-- Relation.Binary.Bundles.ApartnessRelation
d_ApartnessRelation_1248 :: p -> p -> p -> ()
d_ApartnessRelation_1248 p
a0 p
a1 p
a2 = ()
newtype T_ApartnessRelation_1248
  = C_ApartnessRelation'46'constructor_25337 MAlonzo.Code.Relation.Binary.Structures.T_IsApartnessRelation_656
-- Relation.Binary.Bundles.ApartnessRelation.Carrier
d_Carrier_1264 :: T_ApartnessRelation_1248 -> ()
d_Carrier_1264 :: T_ApartnessRelation_1248 -> ()
d_Carrier_1264 = T_ApartnessRelation_1248 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._≈_
d__'8776'__1266 ::
  T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1266 :: T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1266 = T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._#_
d__'35'__1268 ::
  T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
d__'35'__1268 :: T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
d__'35'__1268 = T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation.isApartnessRelation
d_isApartnessRelation_1270 ::
  T_ApartnessRelation_1248 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsApartnessRelation_656
d_isApartnessRelation_1270 :: T_ApartnessRelation_1248 -> T_IsApartnessRelation_656
d_isApartnessRelation_1270 T_ApartnessRelation_1248
v0
  = case T_ApartnessRelation_1248 -> T_ApartnessRelation_1248
forall a b. a -> b
coe T_ApartnessRelation_1248
v0 of
      C_ApartnessRelation'46'constructor_25337 T_IsApartnessRelation_656
v4 -> T_IsApartnessRelation_656 -> T_IsApartnessRelation_656
forall a b. a -> b
coe T_IsApartnessRelation_656
v4
      T_ApartnessRelation_1248
_ -> T_IsApartnessRelation_656
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.ApartnessRelation._._¬#_
d__'172''35'__1274 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
d__'172''35'__1274 :: ()
-> () -> () -> T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
d__'172''35'__1274 = ()
-> () -> () -> T_ApartnessRelation_1248 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._.cotrans
d_cotrans_1276 ::
  T_ApartnessRelation_1248 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_cotrans_1276 :: T_ApartnessRelation_1248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
d_cotrans_1276 T_ApartnessRelation_1248
v0
  = (T_IsApartnessRelation_656
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
forall a b. a -> b
coe
      T_IsApartnessRelation_656
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_cotrans_670
      ((T_ApartnessRelation_1248 -> T_IsApartnessRelation_656)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1248 -> T_IsApartnessRelation_656
d_isApartnessRelation_1270 (T_ApartnessRelation_1248 -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1248
v0))
-- Relation.Binary.Bundles.ApartnessRelation._.irrefl
d_irrefl_1278 ::
  T_ApartnessRelation_1248 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_1278 :: T_ApartnessRelation_1248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_1278 = T_ApartnessRelation_1248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._.sym
d_sym_1280 ::
  T_ApartnessRelation_1248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1280 :: T_ApartnessRelation_1248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1280 T_ApartnessRelation_1248
v0
  = (T_IsApartnessRelation_656
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsApartnessRelation_656
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_668
      ((T_ApartnessRelation_1248 -> T_IsApartnessRelation_656)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1248 -> T_IsApartnessRelation_656
d_isApartnessRelation_1270 (T_ApartnessRelation_1248 -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1248
v0))