{-# 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.Bundles.Raw
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_constructor_40 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_constructor_40 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.rawSetoid
d_rawSetoid_34 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_PartialSetoid_10 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_34 :: () -> () -> T_PartialSetoid_10 -> T_RawSetoid_12
d_rawSetoid_34 = () -> () -> T_PartialSetoid_10 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.PartialSetoid._._≉_
d__'8777'__38 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8777'__38 :: () -> () -> T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8777'__38 = () -> () -> T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid
d_Setoid_46 :: p -> p -> ()
d_Setoid_46 p
a0 p
a1 = ()
newtype T_Setoid_46
  = C_constructor_84 MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
-- Relation.Binary.Bundles.Setoid.Carrier
d_Carrier_58 :: T_Setoid_46 -> ()
d_Carrier_58 :: T_Setoid_46 -> ()
d_Carrier_58 = T_Setoid_46 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid._≈_
d__'8776'__60 :: T_Setoid_46 -> AgdaAny -> AgdaAny -> ()
d__'8776'__60 :: T_Setoid_46 -> AgdaAny -> AgdaAny -> ()
d__'8776'__60 = T_Setoid_46 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid.isEquivalence
d_isEquivalence_62 ::
  T_Setoid_46 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_62 :: T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 T_Setoid_46
v0
  = case T_Setoid_46 -> T_Setoid_46
forall a b. a -> b
coe T_Setoid_46
v0 of
      C_constructor_84 T_IsEquivalence_28
v3 -> T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v3
      T_Setoid_46
_ -> T_IsEquivalence_28
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Setoid._.isPartialEquivalence
d_isPartialEquivalence_66 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_66 :: () -> () -> T_Setoid_46 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_66 ~()
v0 ~()
v1 T_Setoid_46
v2
  = T_Setoid_46 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_66 T_Setoid_46
v2
du_isPartialEquivalence_66 ::
  T_Setoid_46 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_66 :: T_Setoid_46 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_66 T_Setoid_46
v0
  = (T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
      ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (T_Setoid_46 -> AgdaAny
forall a b. a -> b
coe T_Setoid_46
v0))
-- Relation.Binary.Bundles.Setoid._.refl
d_refl_68 :: T_Setoid_46 -> AgdaAny -> AgdaAny
d_refl_68 :: T_Setoid_46 -> AgdaAny -> AgdaAny
d_refl_68 T_Setoid_46
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (T_Setoid_46 -> AgdaAny
forall a b. a -> b
coe T_Setoid_46
v0))
-- Relation.Binary.Bundles.Setoid._.reflexive
d_reflexive_70 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_70 :: ()
-> ()
-> T_Setoid_46
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_70 ~()
v0 ~()
v1 T_Setoid_46
v2 = T_Setoid_46 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_70 T_Setoid_46
v2
du_reflexive_70 ::
  T_Setoid_46 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_70 :: T_Setoid_46 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_70 T_Setoid_46
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
      ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (T_Setoid_46 -> AgdaAny
forall a b. a -> b
coe T_Setoid_46
v0)) AgdaAny
v1
-- Relation.Binary.Bundles.Setoid.partialSetoid
d_partialSetoid_72 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 -> T_PartialSetoid_10
d_partialSetoid_72 :: () -> () -> T_Setoid_46 -> T_PartialSetoid_10
d_partialSetoid_72 ~()
v0 ~()
v1 T_Setoid_46
v2 = T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 T_Setoid_46
v2
du_partialSetoid_72 :: T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 :: T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 T_Setoid_46
v0
  = (T_IsPartialEquivalence_16 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      T_IsPartialEquivalence_16 -> T_PartialSetoid_10
C_constructor_40
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (T_Setoid_46 -> AgdaAny
forall a b. a -> b
coe T_Setoid_46
v0)))
-- Relation.Binary.Bundles.Setoid._._≉_
d__'8777'__76 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 -> AgdaAny -> AgdaAny -> ()
d__'8777'__76 :: () -> () -> T_Setoid_46 -> AgdaAny -> AgdaAny -> ()
d__'8777'__76 = () -> () -> T_Setoid_46 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid._.rawSetoid
d_rawSetoid_78 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_78 :: () -> () -> T_Setoid_46 -> T_RawSetoid_12
d_rawSetoid_78 = () -> () -> T_Setoid_46 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.Setoid._.sym
d_sym_80 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_80 :: () -> () -> T_Setoid_46 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_80 ~()
v0 ~()
v1 T_Setoid_46
v2 = T_Setoid_46 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_80 T_Setoid_46
v2
du_sym_80 ::
  T_Setoid_46 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_80 :: T_Setoid_46 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_80 T_Setoid_46
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
      ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (T_Setoid_46 -> AgdaAny
forall a b. a -> b
coe T_Setoid_46
v0))
-- Relation.Binary.Bundles.Setoid._.trans
d_trans_82 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_46 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_82 :: ()
-> ()
-> T_Setoid_46
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_82 ~()
v0 ~()
v1 T_Setoid_46
v2 = T_Setoid_46
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_82 T_Setoid_46
v2
du_trans_82 ::
  T_Setoid_46 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_82 :: T_Setoid_46
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_82 T_Setoid_46
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
      ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (T_Setoid_46 -> AgdaAny
forall a b. a -> b
coe T_Setoid_46
v0))
-- Relation.Binary.Bundles.DecSetoid
d_DecSetoid_90 :: p -> p -> ()
d_DecSetoid_90 p
a0 p
a1 = ()
newtype T_DecSetoid_90
  = C_constructor_134 MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
-- Relation.Binary.Bundles.DecSetoid.Carrier
d_Carrier_102 :: T_DecSetoid_90 -> ()
d_Carrier_102 :: T_DecSetoid_90 -> ()
d_Carrier_102 = T_DecSetoid_90 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._≈_
d__'8776'__104 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny -> ()
d__'8776'__104 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny -> ()
d__'8776'__104 = T_DecSetoid_90 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid.isDecEquivalence
d_isDecEquivalence_106 ::
  T_DecSetoid_90 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_106 :: T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 T_DecSetoid_90
v0
  = case T_DecSetoid_90 -> T_DecSetoid_90
forall a b. a -> b
coe T_DecSetoid_90
v0 of
      C_constructor_134 T_IsDecEquivalence_48
v3 -> T_IsDecEquivalence_48 -> T_IsDecEquivalence_48
forall a b. a -> b
coe T_IsDecEquivalence_48
v3
      T_DecSetoid_90
_ -> T_IsDecEquivalence_48
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecSetoid._._≟_
d__'8799'__110 ::
  T_DecSetoid_90 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__110 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__110 T_DecSetoid_90
v0
  = (T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__56
      ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0))
-- Relation.Binary.Bundles.DecSetoid._.isEquivalence
d_isEquivalence_112 ::
  T_DecSetoid_90 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_112 :: T_DecSetoid_90 -> T_IsEquivalence_28
d_isEquivalence_112 T_DecSetoid_90
v0
  = (T_IsDecEquivalence_48 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
      ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0))
-- Relation.Binary.Bundles.DecSetoid.setoid
d_setoid_114 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 -> T_Setoid_46
d_setoid_114 :: () -> () -> T_DecSetoid_90 -> T_Setoid_46
d_setoid_114 ~()
v0 ~()
v1 T_DecSetoid_90
v2 = T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 T_DecSetoid_90
v2
du_setoid_114 :: T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 :: T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 T_DecSetoid_90
v0
  = (T_IsEquivalence_28 -> T_Setoid_46)
-> T_IsEquivalence_28 -> T_Setoid_46
forall a b. a -> b
coe
      T_IsEquivalence_28 -> T_Setoid_46
C_constructor_84
      (T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
         ((T_DecSetoid_90 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0)))
-- Relation.Binary.Bundles.DecSetoid._._≉_
d__'8777'__118 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 -> AgdaAny -> AgdaAny -> ()
d__'8777'__118 :: () -> () -> T_DecSetoid_90 -> AgdaAny -> AgdaAny -> ()
d__'8777'__118 = () -> () -> T_DecSetoid_90 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._.isPartialEquivalence
d_isPartialEquivalence_120 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_120 :: () -> () -> T_DecSetoid_90 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_120 ~()
v0 ~()
v1 T_DecSetoid_90
v2
  = T_DecSetoid_90 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_120 T_DecSetoid_90
v2
du_isPartialEquivalence_120 ::
  T_DecSetoid_90 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_120 :: T_DecSetoid_90 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_120 T_DecSetoid_90
v0
  = let v1 :: AgdaAny
v1 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecSetoid._.partialSetoid
d_partialSetoid_122 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 -> T_PartialSetoid_10
d_partialSetoid_122 :: () -> () -> T_DecSetoid_90 -> T_PartialSetoid_10
d_partialSetoid_122 ~()
v0 ~()
v1 T_DecSetoid_90
v2 = T_DecSetoid_90 -> T_PartialSetoid_10
du_partialSetoid_122 T_DecSetoid_90
v2
du_partialSetoid_122 :: T_DecSetoid_90 -> T_PartialSetoid_10
du_partialSetoid_122 :: T_DecSetoid_90 -> T_PartialSetoid_10
du_partialSetoid_122 T_DecSetoid_90
v0
  = (T_Setoid_46 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0))
-- Relation.Binary.Bundles.DecSetoid._.rawSetoid
d_rawSetoid_124 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_124 :: () -> () -> T_DecSetoid_90 -> T_RawSetoid_12
d_rawSetoid_124 = () -> () -> T_DecSetoid_90 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._.refl
d_refl_126 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 -> AgdaAny -> AgdaAny
d_refl_126 :: () -> () -> T_DecSetoid_90 -> AgdaAny -> AgdaAny
d_refl_126 ~()
v0 ~()
v1 T_DecSetoid_90
v2 = T_DecSetoid_90 -> AgdaAny -> AgdaAny
du_refl_126 T_DecSetoid_90
v2
du_refl_126 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny
du_refl_126 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny
du_refl_126 T_DecSetoid_90
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
         ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0)))
-- Relation.Binary.Bundles.DecSetoid._.reflexive
d_reflexive_128 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_128 :: ()
-> ()
-> T_DecSetoid_90
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_128 ~()
v0 ~()
v1 T_DecSetoid_90
v2 = T_DecSetoid_90 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_128 T_DecSetoid_90
v2
du_reflexive_128 ::
  T_DecSetoid_90 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_128 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_128 T_DecSetoid_90
v0
  = let v1 :: AgdaAny
v1 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
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_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
           ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.DecSetoid._.sym
d_sym_130 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_130 :: ()
-> () -> T_DecSetoid_90 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_130 ~()
v0 ~()
v1 T_DecSetoid_90
v2 = T_DecSetoid_90 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_130 T_DecSetoid_90
v2
du_sym_130 ::
  T_DecSetoid_90 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_130 :: T_DecSetoid_90 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_130 T_DecSetoid_90
v0
  = let v1 :: AgdaAny
v1 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecSetoid._.trans
d_trans_132 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_90 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_132 :: ()
-> ()
-> T_DecSetoid_90
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_132 ~()
v0 ~()
v1 T_DecSetoid_90
v2 = T_DecSetoid_90
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_132 T_DecSetoid_90
v2
du_trans_132 ::
  T_DecSetoid_90 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_132 :: T_DecSetoid_90
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_132 T_DecSetoid_90
v0
  = let v1 :: AgdaAny
v1 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (T_DecSetoid_90 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Preorder
d_Preorder_142 :: p -> p -> p -> ()
d_Preorder_142 p
a0 p
a1 p
a2 = ()
newtype T_Preorder_142
  = C_constructor_232 MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
-- Relation.Binary.Bundles.Preorder.Carrier
d_Carrier_158 :: T_Preorder_142 -> ()
d_Carrier_158 :: T_Preorder_142 -> ()
d_Carrier_158 = T_Preorder_142 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._≈_
d__'8776'__160 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8776'__160 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8776'__160 = T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._≲_
d__'8818'__162 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8818'__162 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8818'__162 = T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.isPreorder
d_isPreorder_164 ::
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_164 :: T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 T_Preorder_142
v0
  = case T_Preorder_142 -> T_Preorder_142
forall a b. a -> b
coe T_Preorder_142
v0 of
      C_constructor_232 T_IsPreorder_76
v4 -> T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v4
      T_Preorder_142
_ -> T_IsPreorder_76
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Preorder._.isEquivalence
d_isEquivalence_168 ::
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_168 :: T_Preorder_142 -> T_IsEquivalence_28
d_isEquivalence_168 T_Preorder_142
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.refl
d_refl_170 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny
d_refl_170 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny
d_refl_170 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> AgdaAny -> AgdaAny
du_refl_170 T_Preorder_142
v3
du_refl_170 :: T_Preorder_142 -> AgdaAny -> AgdaAny
du_refl_170 :: T_Preorder_142 -> AgdaAny -> AgdaAny
du_refl_170 T_Preorder_142
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.reflexive
d_reflexive_172 ::
  T_Preorder_142 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_172 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_172 T_Preorder_142
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.trans
d_trans_174 ::
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_174 :: T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_174 T_Preorder_142
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.∼-resp-≈
d_'8764''45'resp'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_142 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_176 :: () -> () -> () -> T_Preorder_142 -> T_Σ_14
d_'8764''45'resp'45''8776'_176 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142 -> T_Σ_14
du_'8764''45'resp'45''8776'_176 T_Preorder_142
v3
du_'8764''45'resp'45''8776'_176 ::
  T_Preorder_142 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_176 :: T_Preorder_142 -> T_Σ_14
du_'8764''45'resp'45''8776'_176 T_Preorder_142
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_178 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_178 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_178 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_178 T_Preorder_142
v3
du_'8764''45'resp'691''45''8776'_178 ::
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_178 :: T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_178 T_Preorder_142
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_180 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_180 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_180 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_180 T_Preorder_142
v3
du_'8764''45'resp'737''45''8776'_180 ::
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_180 :: T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_180 T_Preorder_142
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_182 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_182 :: () -> () -> () -> T_Preorder_142 -> T_Σ_14
d_'8818''45'resp'45''8776'_182 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142 -> T_Σ_14
du_'8818''45'resp'45''8776'_182 T_Preorder_142
v3
du_'8818''45'resp'45''8776'_182 ::
  T_Preorder_142 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_182 :: T_Preorder_142 -> T_Σ_14
du_'8818''45'resp'45''8776'_182 T_Preorder_142
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''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_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_184 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_184 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_184 T_Preorder_142
v3
du_'8818''45'resp'691''45''8776'_184 ::
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_184 :: T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_184 T_Preorder_142
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_186 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_186 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_186 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_186 T_Preorder_142
v3
du_'8818''45'resp'737''45''8776'_186 ::
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_186 :: T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_186 T_Preorder_142
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder.Eq.setoid
d_setoid_190 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> T_Setoid_46
d_setoid_190 :: () -> () -> () -> T_Preorder_142 -> T_Setoid_46
d_setoid_190 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> T_Setoid_46
du_setoid_190 T_Preorder_142
v3
du_setoid_190 :: T_Preorder_142 -> T_Setoid_46
du_setoid_190 :: T_Preorder_142 -> T_Setoid_46
du_setoid_190 T_Preorder_142
v0
  = (T_IsEquivalence_28 -> T_Setoid_46)
-> T_IsEquivalence_28 -> T_Setoid_46
forall a b. a -> b
coe
      T_IsEquivalence_28 -> T_Setoid_46
C_constructor_84
      (T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._._≈_
d__'8776'__194 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8776'__194 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8776'__194 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._._≉_
d__'8777'__196 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8777'__196 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8777'__196 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.Carrier
d_Carrier_198 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_Preorder_142 -> ()
d_Carrier_198 :: () -> () -> () -> T_Preorder_142 -> ()
d_Carrier_198 = () -> () -> () -> T_Preorder_142 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.isEquivalence
d_isEquivalence_200 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_200 :: () -> () -> () -> T_Preorder_142 -> T_IsEquivalence_28
d_isEquivalence_200 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> T_IsEquivalence_28
du_isEquivalence_200 T_Preorder_142
v3
du_isEquivalence_200 ::
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_200 :: T_Preorder_142 -> T_IsEquivalence_28
du_isEquivalence_200 T_Preorder_142
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder.Eq._.isPartialEquivalence
d_isPartialEquivalence_202 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_202 :: () -> () -> () -> T_Preorder_142 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_202 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3
  = T_Preorder_142 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_202 T_Preorder_142
v3
du_isPartialEquivalence_202 ::
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_202 :: T_Preorder_142 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_202 T_Preorder_142
v0
  = let v1 :: AgdaAny
v1 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Preorder.Eq._.partialSetoid
d_partialSetoid_204 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> T_PartialSetoid_10
d_partialSetoid_204 :: () -> () -> () -> T_Preorder_142 -> T_PartialSetoid_10
d_partialSetoid_204 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> T_PartialSetoid_10
du_partialSetoid_204 T_Preorder_142
v3
du_partialSetoid_204 :: T_Preorder_142 -> T_PartialSetoid_10
du_partialSetoid_204 :: T_Preorder_142 -> T_PartialSetoid_10
du_partialSetoid_204 T_Preorder_142
v0
  = (T_Setoid_46 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0))
-- Relation.Binary.Bundles.Preorder.Eq._.rawSetoid
d_rawSetoid_206 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_206 :: () -> () -> () -> T_Preorder_142 -> T_RawSetoid_12
d_rawSetoid_206 = () -> () -> () -> T_Preorder_142 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.refl
d_refl_208 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny
d_refl_208 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny
d_refl_208 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> AgdaAny -> AgdaAny
du_refl_208 T_Preorder_142
v3
du_refl_208 :: T_Preorder_142 -> AgdaAny -> AgdaAny
du_refl_208 :: T_Preorder_142 -> AgdaAny -> AgdaAny
du_refl_208 T_Preorder_142
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._.reflexive
d_reflexive_210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_210 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_210 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_210 T_Preorder_142
v3
du_reflexive_210 ::
  T_Preorder_142 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_210 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_210 T_Preorder_142
v0
  = let v1 :: AgdaAny
v1 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
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_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
           ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.Preorder.Eq._.sym
d_sym_212 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_212 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_212 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_212 T_Preorder_142
v3
du_sym_212 ::
  T_Preorder_142 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_212 :: T_Preorder_142 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_212 T_Preorder_142
v0
  = let v1 :: AgdaAny
v1 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Preorder.Eq._.trans
d_trans_214 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_214 :: ()
-> ()
-> ()
-> T_Preorder_142
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_214 ~()
v0 ~()
v1 ~()
v2 T_Preorder_142
v3 = T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_214 T_Preorder_142
v3
du_trans_214 ::
  T_Preorder_142 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_214 :: T_Preorder_142
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_214 T_Preorder_142
v0
  = let v1 :: AgdaAny
v1 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (T_Preorder_142 -> AgdaAny
forall a b. a -> b
coe T_Preorder_142
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Preorder.rawRelation
d_rawRelation_216 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_216 :: () -> () -> () -> T_Preorder_142 -> T_RawRelation_40
d_rawRelation_216 = () -> () -> () -> T_Preorder_142 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._._∼_
d__'8764'__220 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8764'__220 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8764'__220 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._._≉_
d__'8777'__222 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8777'__222 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8777'__222 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._._∼ᵒ_
d__'8764''7506'__224 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__224 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__224 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._._≁_
d__'8769'__226 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8769'__226 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8769'__226 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._._≁ᵒ_
d__'8769''7506'__228 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__228 :: () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__228 = () -> () -> () -> T_Preorder_142 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._.rawSetoid
d_rawSetoid_230 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_142 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_230 :: () -> () -> () -> T_Preorder_142 -> T_RawSetoid_12
d_rawSetoid_230 = () -> () -> () -> T_Preorder_142 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder
d_TotalPreorder_240 :: p -> p -> p -> ()
d_TotalPreorder_240 p
a0 p
a1 p
a2 = ()
newtype T_TotalPreorder_240
  = C_constructor_334 MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_132
-- Relation.Binary.Bundles.TotalPreorder.Carrier
d_Carrier_256 :: T_TotalPreorder_240 -> ()
d_Carrier_256 :: T_TotalPreorder_240 -> ()
d_Carrier_256 = T_TotalPreorder_240 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._≈_
d__'8776'__258 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8776'__258 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8776'__258 = T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._≲_
d__'8818'__260 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8818'__260 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8818'__260 = T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder.isTotalPreorder
d_isTotalPreorder_262 ::
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_132
d_isTotalPreorder_262 :: T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 T_TotalPreorder_240
v0
  = case T_TotalPreorder_240 -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalPreorder_240
v0 of
      C_constructor_334 T_IsTotalPreorder_132
v4 -> T_IsTotalPreorder_132 -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_IsTotalPreorder_132
v4
      T_TotalPreorder_240
_ -> T_IsTotalPreorder_132
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.TotalPreorder._.isPreorder
d_isPreorder_266 ::
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_266 :: T_TotalPreorder_240 -> T_IsPreorder_76
d_isPreorder_266 T_TotalPreorder_240
v0
  = (T_IsTotalPreorder_132 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
-- Relation.Binary.Bundles.TotalPreorder._.total
d_total_268 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_268 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_268 T_TotalPreorder_240
v0
  = (T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_142
      ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
-- Relation.Binary.Bundles.TotalPreorder.preorder
d_preorder_270 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> T_Preorder_142
d_preorder_270 :: () -> () -> () -> T_TotalPreorder_240 -> T_Preorder_142
d_preorder_270 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 T_TotalPreorder_240
v3
du_preorder_270 :: T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 :: T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 T_TotalPreorder_240
v0
  = (T_IsPreorder_76 -> T_Preorder_142)
-> T_IsPreorder_76 -> T_Preorder_142
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Preorder_142
C_constructor_232
      (T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
-- Relation.Binary.Bundles.TotalPreorder._._∼_
d__'8764'__274 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8764'__274 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8764'__274 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._≉_
d__'8777'__276 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8777'__276 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8777'__276 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._∼ᵒ_
d__'8764''7506'__278 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__278 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__278 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._≁_
d__'8769'__280 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8769'__280 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8769'__280 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._._≁ᵒ_
d__'8769''7506'__282 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__282 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__282 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.isEquivalence
d_isEquivalence_284 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_284 :: () -> () -> () -> T_TotalPreorder_240 -> T_IsEquivalence_28
d_isEquivalence_284 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> T_IsEquivalence_28
du_isEquivalence_284 T_TotalPreorder_240
v3
du_isEquivalence_284 ::
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_284 :: T_TotalPreorder_240 -> T_IsEquivalence_28
du_isEquivalence_284 T_TotalPreorder_240
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.rawRelation
d_rawRelation_286 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_286 :: () -> () -> () -> T_TotalPreorder_240 -> T_RawRelation_40
d_rawRelation_286 = () -> () -> () -> T_TotalPreorder_240 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.rawSetoid
d_rawSetoid_288 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_288 :: () -> () -> () -> T_TotalPreorder_240 -> T_RawSetoid_12
d_rawSetoid_288 = () -> () -> () -> T_TotalPreorder_240 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.refl
d_refl_290 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny
d_refl_290 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny
d_refl_290 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> AgdaAny -> AgdaAny
du_refl_290 T_TotalPreorder_240
v3
du_refl_290 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny
du_refl_290 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny
du_refl_290 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.reflexive
d_reflexive_292 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_292 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_292 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_292 T_TotalPreorder_240
v3
du_reflexive_292 ::
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_292 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_292 T_TotalPreorder_240
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.trans
d_trans_294 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_294 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_294 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_294 T_TotalPreorder_240
v3
du_trans_294 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_294 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_294 T_TotalPreorder_240
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_132 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_140
         ((T_TotalPreorder_240 -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_IsTotalPreorder_132
d_isTotalPreorder_262 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_296 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_296 :: () -> () -> () -> T_TotalPreorder_240 -> T_Σ_14
d_'8764''45'resp'45''8776'_296 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240 -> T_Σ_14
du_'8764''45'resp'45''8776'_296 T_TotalPreorder_240
v3
du_'8764''45'resp'45''8776'_296 ::
  T_TotalPreorder_240 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_296 :: T_TotalPreorder_240 -> T_Σ_14
du_'8764''45'resp'45''8776'_296 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_298 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_298 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_298 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_298 T_TotalPreorder_240
v3
du_'8764''45'resp'691''45''8776'_298 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_298 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_298 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_300 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_300 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_300 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_300 T_TotalPreorder_240
v3
du_'8764''45'resp'737''45''8776'_300 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_300 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_300 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_302 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_302 :: () -> () -> () -> T_TotalPreorder_240 -> T_Σ_14
d_'8818''45'resp'45''8776'_302 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240 -> T_Σ_14
du_'8818''45'resp'45''8776'_302 T_TotalPreorder_240
v3
du_'8818''45'resp'45''8776'_302 ::
  T_TotalPreorder_240 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_302 :: T_TotalPreorder_240 -> T_Σ_14
du_'8818''45'resp'45''8776'_302 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_304 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_304 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_304 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_304 T_TotalPreorder_240
v3
du_'8818''45'resp'691''45''8776'_304 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_304 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_304 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_306 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_306 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_306 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_306 T_TotalPreorder_240
v3
du_'8818''45'resp'737''45''8776'_306 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_306 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_306 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq._≈_
d__'8776'__310 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8776'__310 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8776'__310 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq._≉_
d__'8777'__312 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8777'__312 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
d__'8777'__312 = () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.Carrier
d_Carrier_314 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_TotalPreorder_240 -> ()
d_Carrier_314 :: () -> () -> () -> T_TotalPreorder_240 -> ()
d_Carrier_314 = () -> () -> () -> T_TotalPreorder_240 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.isEquivalence
d_isEquivalence_316 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_316 :: () -> () -> () -> T_TotalPreorder_240 -> T_IsEquivalence_28
d_isEquivalence_316 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> T_IsEquivalence_28
du_isEquivalence_316 T_TotalPreorder_240
v3
du_isEquivalence_316 ::
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_316 :: T_TotalPreorder_240 -> T_IsEquivalence_28
du_isEquivalence_316 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.isPartialEquivalence
d_isPartialEquivalence_318 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_318 :: () -> () -> () -> T_TotalPreorder_240 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_318 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3
  = T_TotalPreorder_240 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_318 T_TotalPreorder_240
v3
du_isPartialEquivalence_318 ::
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_318 :: T_TotalPreorder_240 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_318 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.partialSetoid
d_partialSetoid_320 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> T_PartialSetoid_10
d_partialSetoid_320 :: () -> () -> () -> T_TotalPreorder_240 -> T_PartialSetoid_10
d_partialSetoid_320 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> T_PartialSetoid_10
du_partialSetoid_320 T_TotalPreorder_240
v3
du_partialSetoid_320 :: T_TotalPreorder_240 -> T_PartialSetoid_10
du_partialSetoid_320 :: T_TotalPreorder_240 -> T_PartialSetoid_10
du_partialSetoid_320 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.rawSetoid
d_rawSetoid_322 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_322 :: () -> () -> () -> T_TotalPreorder_240 -> T_RawSetoid_12
d_rawSetoid_322 = () -> () -> () -> T_TotalPreorder_240 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.refl
d_refl_324 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny
d_refl_324 :: () -> () -> () -> T_TotalPreorder_240 -> AgdaAny -> AgdaAny
d_refl_324 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> AgdaAny -> AgdaAny
du_refl_324 T_TotalPreorder_240
v3
du_refl_324 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny
du_refl_324 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny
du_refl_324 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.reflexive
d_reflexive_326 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_326 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_326 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_326 T_TotalPreorder_240
v3
du_reflexive_326 ::
  T_TotalPreorder_240 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_326 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_326 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
              ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.setoid
d_setoid_328 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> T_Setoid_46
d_setoid_328 :: () -> () -> () -> T_TotalPreorder_240 -> T_Setoid_46
d_setoid_328 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> T_Setoid_46
du_setoid_328 T_TotalPreorder_240
v3
du_setoid_328 :: T_TotalPreorder_240 -> T_Setoid_46
du_setoid_328 :: T_TotalPreorder_240 -> T_Setoid_46
du_setoid_328 T_TotalPreorder_240
v0 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> T_Setoid_46
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 ((T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.sym
d_sym_330 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_330 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_330 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_330 T_TotalPreorder_240
v3
du_sym_330 ::
  T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_330 :: T_TotalPreorder_240 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_330 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.trans
d_trans_332 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_332 :: ()
-> ()
-> ()
-> T_TotalPreorder_240
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_332 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_240
v3 = T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_332 T_TotalPreorder_240
v3
du_trans_332 ::
  T_TotalPreorder_240 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_332 :: T_TotalPreorder_240
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_332 T_TotalPreorder_240
v0
  = let v1 :: AgdaAny
v1 = (T_TotalPreorder_240 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240 -> T_Preorder_142
du_preorder_270 (T_TotalPreorder_240 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_240
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPreorder
d_DecPreorder_342 :: p -> p -> p -> ()
d_DecPreorder_342 p
a0 p
a1 p
a2 = ()
newtype T_DecPreorder_342
  = C_constructor_484 MAlonzo.Code.Relation.Binary.Structures.T_IsDecPreorder_184
-- Relation.Binary.Bundles.DecPreorder.Carrier
d_Carrier_358 :: T_DecPreorder_342 -> ()
d_Carrier_358 :: T_DecPreorder_342 -> ()
d_Carrier_358 = T_DecPreorder_342 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._≈_
d__'8776'__360 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8776'__360 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8776'__360 = T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._≲_
d__'8818'__362 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8818'__362 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8818'__362 = T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder.isDecPreorder
d_isDecPreorder_364 ::
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPreorder_184
d_isDecPreorder_364 :: T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 T_DecPreorder_342
v0
  = case T_DecPreorder_342 -> T_DecPreorder_342
forall a b. a -> b
coe T_DecPreorder_342
v0 of
      C_constructor_484 T_IsDecPreorder_184
v4 -> T_IsDecPreorder_184 -> T_IsDecPreorder_184
forall a b. a -> b
coe T_IsDecPreorder_184
v4
      T_DecPreorder_342
_ -> T_IsDecPreorder_184
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecPreorder.DPO._≟_
d__'8799'__368 ::
  T_DecPreorder_342 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__368 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__368 T_DecPreorder_342
v0
  = (T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__196
      ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0))
-- Relation.Binary.Bundles.DecPreorder.DPO._≲?_
d__'8818''63'__370 ::
  T_DecPreorder_342 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8818''63'__370 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8818''63'__370 T_DecPreorder_342
v0
  = (T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8818''63'__198
      ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0))
-- Relation.Binary.Bundles.DecPreorder.DPO.isPreorder
d_isPreorder_374 ::
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_374 :: T_DecPreorder_342 -> T_IsPreorder_76
d_isPreorder_374 T_DecPreorder_342
v0
  = (T_IsDecPreorder_184 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
      ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0))
-- Relation.Binary.Bundles.DecPreorder.preorder
d_preorder_412 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> T_Preorder_142
d_preorder_412 :: () -> () -> () -> T_DecPreorder_342 -> T_Preorder_142
d_preorder_412 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 T_DecPreorder_342
v3
du_preorder_412 :: T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 :: T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 T_DecPreorder_342
v0
  = (T_IsPreorder_76 -> T_Preorder_142)
-> T_IsPreorder_76 -> T_Preorder_142
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Preorder_142
C_constructor_232
      (T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
         ((T_DecPreorder_342 -> T_IsDecPreorder_184)
-> AgdaAny -> T_IsDecPreorder_184
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0)))
-- Relation.Binary.Bundles.DecPreorder._._∼_
d__'8764'__416 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8764'__416 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8764'__416 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._._≉_
d__'8777'__418 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8777'__418 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8777'__418 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._._∼ᵒ_
d__'8764''7506'__420 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__420 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__420 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._._≁_
d__'8769'__422 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8769'__422 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8769'__422 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._._≁ᵒ_
d__'8769''7506'__424 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__424 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__424 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._.isEquivalence
d_isEquivalence_426 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_426 :: () -> () -> () -> T_DecPreorder_342 -> T_IsEquivalence_28
d_isEquivalence_426 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_IsEquivalence_28
du_isEquivalence_426 T_DecPreorder_342
v3
du_isEquivalence_426 ::
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_426 :: T_DecPreorder_342 -> T_IsEquivalence_28
du_isEquivalence_426 T_DecPreorder_342
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0)))
-- Relation.Binary.Bundles.DecPreorder._.rawRelation
d_rawRelation_428 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_428 :: () -> () -> () -> T_DecPreorder_342 -> T_RawRelation_40
d_rawRelation_428 = () -> () -> () -> T_DecPreorder_342 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._.rawSetoid
d_rawSetoid_430 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_430 :: () -> () -> () -> T_DecPreorder_342 -> T_RawSetoid_12
d_rawSetoid_430 = () -> () -> () -> T_DecPreorder_342 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder._.refl
d_refl_432 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny
d_refl_432 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny
d_refl_432 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> AgdaAny -> AgdaAny
du_refl_432 T_DecPreorder_342
v3
du_refl_432 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny
du_refl_432 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny
du_refl_432 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder._.reflexive
d_reflexive_434 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_434 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_434 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_434 T_DecPreorder_342
v3
du_reflexive_434 ::
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_434 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_434 T_DecPreorder_342
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0)))
-- Relation.Binary.Bundles.DecPreorder._.trans
d_trans_436 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_436 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_436 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_436 T_DecPreorder_342
v3
du_trans_436 ::
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_436 :: T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_436 T_DecPreorder_342
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0)))
-- Relation.Binary.Bundles.DecPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_438 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_438 :: () -> () -> () -> T_DecPreorder_342 -> T_Σ_14
d_'8764''45'resp'45''8776'_438 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342 -> T_Σ_14
du_'8764''45'resp'45''8776'_438 T_DecPreorder_342
v3
du_'8764''45'resp'45''8776'_438 ::
  T_DecPreorder_342 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_438 :: T_DecPreorder_342 -> T_Σ_14
du_'8764''45'resp'45''8776'_438 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_440 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_440 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_440 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_440 T_DecPreorder_342
v3
du_'8764''45'resp'691''45''8776'_440 ::
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_440 :: T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_440 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_442 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_442 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_442 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_442 T_DecPreorder_342
v3
du_'8764''45'resp'737''45''8776'_442 ::
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_442 :: T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_442 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_444 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_444 :: () -> () -> () -> T_DecPreorder_342 -> T_Σ_14
d_'8818''45'resp'45''8776'_444 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342 -> T_Σ_14
du_'8818''45'resp'45''8776'_444 T_DecPreorder_342
v3
du_'8818''45'resp'45''8776'_444 ::
  T_DecPreorder_342 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_444 :: T_DecPreorder_342 -> T_Σ_14
du_'8818''45'resp'45''8776'_444 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_446 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_446 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_446 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_446 T_DecPreorder_342
v3
du_'8818''45'resp'691''45''8776'_446 ::
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_446 :: T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_446 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_448 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_448 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_448 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_448 T_DecPreorder_342
v3
du_'8818''45'resp'737''45''8776'_448 ::
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_448 :: T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_448 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_Preorder_142
du_preorder_412 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder.Eq.decSetoid
d_decSetoid_452 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> T_DecSetoid_90
d_decSetoid_452 :: () -> () -> () -> T_DecPreorder_342 -> T_DecSetoid_90
d_decSetoid_452 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 T_DecPreorder_342
v3
du_decSetoid_452 :: T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 :: T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 T_DecPreorder_342
v0
  = (T_IsDecEquivalence_48 -> T_DecSetoid_90)
-> AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe
      T_IsDecEquivalence_48 -> T_DecSetoid_90
C_constructor_134
      ((T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_224
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0)))
-- Relation.Binary.Bundles.DecPreorder.Eq._._≈_
d__'8776'__456 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8776'__456 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8776'__456 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder.Eq._._≉_
d__'8777'__458 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8777'__458 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
d__'8777'__458 = () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder.Eq._._≟_
d__'8799'__460 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__460 :: ()
-> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__460 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__460 T_DecPreorder_342
v3
du__'8799'__460 ::
  T_DecPreorder_342 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__460 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__460 T_DecPreorder_342
v0
  = (T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__196
      ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0))
-- Relation.Binary.Bundles.DecPreorder.Eq._.Carrier
d_Carrier_462 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_DecPreorder_342 -> ()
d_Carrier_462 :: () -> () -> () -> T_DecPreorder_342 -> ()
d_Carrier_462 = () -> () -> () -> T_DecPreorder_342 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder.Eq._.isDecEquivalence
d_isDecEquivalence_464 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_464 :: () -> () -> () -> T_DecPreorder_342 -> T_IsDecEquivalence_48
d_isDecEquivalence_464 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 T_DecPreorder_342
v3
du_isDecEquivalence_464 ::
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_464 :: T_DecPreorder_342 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 T_DecPreorder_342
v0
  = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsDecPreorder_184 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_224
      ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0))
-- Relation.Binary.Bundles.DecPreorder.Eq._.isEquivalence
d_isEquivalence_466 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_466 :: () -> () -> () -> T_DecPreorder_342 -> T_IsEquivalence_28
d_isEquivalence_466 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_IsEquivalence_28
du_isEquivalence_466 T_DecPreorder_342
v3
du_isEquivalence_466 ::
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_466 :: T_DecPreorder_342 -> T_IsEquivalence_28
du_isEquivalence_466 T_DecPreorder_342
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0)))
-- Relation.Binary.Bundles.DecPreorder.Eq._.isPartialEquivalence
d_isPartialEquivalence_468 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_468 :: () -> () -> () -> T_DecPreorder_342 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_468 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3
  = T_DecPreorder_342 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_468 T_DecPreorder_342
v3
du_isPartialEquivalence_468 ::
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_468 :: T_DecPreorder_342 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_468 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPreorder.Eq._.partialSetoid
d_partialSetoid_470 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> T_PartialSetoid_10
d_partialSetoid_470 :: () -> () -> () -> T_DecPreorder_342 -> T_PartialSetoid_10
d_partialSetoid_470 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_PartialSetoid_10
du_partialSetoid_470 T_DecPreorder_342
v3
du_partialSetoid_470 :: T_DecPreorder_342 -> T_PartialSetoid_10
du_partialSetoid_470 :: T_DecPreorder_342 -> T_PartialSetoid_10
du_partialSetoid_470 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPreorder.Eq._.rawSetoid
d_rawSetoid_472 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_472 :: () -> () -> () -> T_DecPreorder_342 -> T_RawSetoid_12
d_rawSetoid_472 = () -> () -> () -> T_DecPreorder_342 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecPreorder.Eq._.refl
d_refl_474 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny
d_refl_474 :: () -> () -> () -> T_DecPreorder_342 -> AgdaAny -> AgdaAny
d_refl_474 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> AgdaAny -> AgdaAny
du_refl_474 T_DecPreorder_342
v3
du_refl_474 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny
du_refl_474 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny
du_refl_474 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
         ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
            ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecPreorder.Eq._.reflexive
d_reflexive_476 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_476 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_476 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_476 T_DecPreorder_342
v3
du_reflexive_476 ::
  T_DecPreorder_342 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_476 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_476 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
              ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.DecPreorder.Eq._.setoid
d_setoid_478 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> T_Setoid_46
d_setoid_478 :: () -> () -> () -> T_DecPreorder_342 -> T_Setoid_46
d_setoid_478 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> T_Setoid_46
du_setoid_478 T_DecPreorder_342
v3
du_setoid_478 :: T_DecPreorder_342 -> T_Setoid_46
du_setoid_478 :: T_DecPreorder_342 -> T_Setoid_46
du_setoid_478 T_DecPreorder_342
v0
  = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> T_Setoid_46
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 ((T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0))
-- Relation.Binary.Bundles.DecPreorder.Eq._.sym
d_sym_480 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_480 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_480 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_480 T_DecPreorder_342
v3
du_sym_480 ::
  T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_480 :: T_DecPreorder_342 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_480 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPreorder.Eq._.trans
d_trans_482 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_482 :: ()
-> ()
-> ()
-> T_DecPreorder_342
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_482 ~()
v0 ~()
v1 ~()
v2 T_DecPreorder_342
v3 = T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_482 T_DecPreorder_342
v3
du_trans_482 ::
  T_DecPreorder_342 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_482 :: T_DecPreorder_342
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_482 T_DecPreorder_342
v0
  = let v1 :: AgdaAny
v1 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (T_DecPreorder_342 -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.Poset
d_Poset_492 :: p -> p -> p -> ()
d_Poset_492 p
a0 p
a1 p
a2 = ()
newtype T_Poset_492
  = C_constructor_588 MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
-- Relation.Binary.Bundles.Poset.Carrier
d_Carrier_508 :: T_Poset_492 -> ()
d_Carrier_508 :: T_Poset_492 -> ()
d_Carrier_508 = T_Poset_492 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._≈_
d__'8776'__510 :: T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8776'__510 :: T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8776'__510 = T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._≤_
d__'8804'__512 :: T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8804'__512 :: T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8804'__512 = T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset.isPartialOrder
d_isPartialOrder_514 ::
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_514 :: T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 T_Poset_492
v0
  = case T_Poset_492 -> T_Poset_492
forall a b. a -> b
coe T_Poset_492
v0 of
      C_constructor_588 T_IsPartialOrder_248
v4 -> T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v4
      T_Poset_492
_ -> T_IsPartialOrder_248
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Poset._.antisym
d_antisym_518 ::
  T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_518 :: T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_518 T_Poset_492
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0))
-- Relation.Binary.Bundles.Poset._.isPreorder
d_isPreorder_520 ::
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_520 :: T_Poset_492 -> T_IsPreorder_76
d_isPreorder_520 T_Poset_492
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0))
-- Relation.Binary.Bundles.Poset.preorder
d_preorder_522 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> T_Preorder_142
d_preorder_522 :: () -> () -> () -> T_Poset_492 -> T_Preorder_142
d_preorder_522 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> T_Preorder_142
du_preorder_522 T_Poset_492
v3
du_preorder_522 :: T_Poset_492 -> T_Preorder_142
du_preorder_522 :: T_Poset_492 -> T_Preorder_142
du_preorder_522 T_Poset_492
v0
  = (T_IsPreorder_76 -> T_Preorder_142)
-> T_IsPreorder_76 -> T_Preorder_142
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Preorder_142
C_constructor_232
      (T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_Poset_492 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0)))
-- Relation.Binary.Bundles.Poset._._∼_
d__'8764'__526 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8764'__526 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8764'__526 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._._≉_
d__'8777'__528 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8777'__528 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8777'__528 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.isEquivalence
d_isEquivalence_530 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_530 :: () -> () -> () -> T_Poset_492 -> T_IsEquivalence_28
d_isEquivalence_530 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> T_IsEquivalence_28
du_isEquivalence_530 T_Poset_492
v3
du_isEquivalence_530 ::
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_530 :: T_Poset_492 -> T_IsEquivalence_28
du_isEquivalence_530 T_Poset_492
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0)))
-- Relation.Binary.Bundles.Poset._.rawRelation
d_rawRelation_532 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_532 :: () -> () -> () -> T_Poset_492 -> T_RawRelation_40
d_rawRelation_532 = () -> () -> () -> T_Poset_492 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.rawSetoid
d_rawSetoid_534 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_534 :: () -> () -> () -> T_Poset_492 -> T_RawSetoid_12
d_rawSetoid_534 = () -> () -> () -> T_Poset_492 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.refl
d_refl_536 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny
d_refl_536 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny
d_refl_536 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> AgdaAny -> AgdaAny
du_refl_536 T_Poset_492
v3
du_refl_536 :: T_Poset_492 -> AgdaAny -> AgdaAny
du_refl_536 :: T_Poset_492 -> AgdaAny -> AgdaAny
du_refl_536 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.reflexive
d_reflexive_538 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_538 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_538 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_538 T_Poset_492
v3
du_reflexive_538 ::
  T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_538 :: T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_538 T_Poset_492
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0)))
-- Relation.Binary.Bundles.Poset._.trans
d_trans_540 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_540 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_540 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_540 T_Poset_492
v3
du_trans_540 ::
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_540 :: T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_540 T_Poset_492
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0)))
-- Relation.Binary.Bundles.Poset._.∼-resp-≈
d_'8764''45'resp'45''8776'_542 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_542 :: () -> () -> () -> T_Poset_492 -> T_Σ_14
d_'8764''45'resp'45''8776'_542 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492 -> T_Σ_14
du_'8764''45'resp'45''8776'_542 T_Poset_492
v3
du_'8764''45'resp'45''8776'_542 ::
  T_Poset_492 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_542 :: T_Poset_492 -> T_Σ_14
du_'8764''45'resp'45''8776'_542 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_544 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_544 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_544 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_544 T_Poset_492
v3
du_'8764''45'resp'691''45''8776'_544 ::
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_544 :: T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_544 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_546 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_546 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_546 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_546 T_Poset_492
v3
du_'8764''45'resp'737''45''8776'_546 ::
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_546 :: T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_546 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.≲-resp-≈
d_'8818''45'resp'45''8776'_548 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_548 :: () -> () -> () -> T_Poset_492 -> T_Σ_14
d_'8818''45'resp'45''8776'_548 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492 -> T_Σ_14
du_'8818''45'resp'45''8776'_548 T_Poset_492
v3
du_'8818''45'resp'45''8776'_548 ::
  T_Poset_492 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_548 :: T_Poset_492 -> T_Σ_14
du_'8818''45'resp'45''8776'_548 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_550 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_550 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_550 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_550 T_Poset_492
v3
du_'8818''45'resp'691''45''8776'_550 ::
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_550 :: T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_550 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_552 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_552 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_552 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_552 T_Poset_492
v3
du_'8818''45'resp'737''45''8776'_552 ::
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_552 :: T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_552 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.Eq._≈_
d__'8776'__556 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8776'__556 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8776'__556 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq._≉_
d__'8777'__558 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8777'__558 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8777'__558 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.Carrier
d_Carrier_560 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_Poset_492 -> ()
d_Carrier_560 :: () -> () -> () -> T_Poset_492 -> ()
d_Carrier_560 = () -> () -> () -> T_Poset_492 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.isEquivalence
d_isEquivalence_562 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_562 :: () -> () -> () -> T_Poset_492 -> T_IsEquivalence_28
d_isEquivalence_562 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> T_IsEquivalence_28
du_isEquivalence_562 T_Poset_492
v3
du_isEquivalence_562 ::
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_562 :: T_Poset_492 -> T_IsEquivalence_28
du_isEquivalence_562 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.Eq.isPartialEquivalence
d_isPartialEquivalence_564 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_564 :: () -> () -> () -> T_Poset_492 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_564 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3
  = T_Poset_492 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_564 T_Poset_492
v3
du_isPartialEquivalence_564 ::
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_564 :: T_Poset_492 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_564 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.Poset._.Eq.partialSetoid
d_partialSetoid_566 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> T_PartialSetoid_10
d_partialSetoid_566 :: () -> () -> () -> T_Poset_492 -> T_PartialSetoid_10
d_partialSetoid_566 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> T_PartialSetoid_10
du_partialSetoid_566 T_Poset_492
v3
du_partialSetoid_566 :: T_Poset_492 -> T_PartialSetoid_10
du_partialSetoid_566 :: T_Poset_492 -> T_PartialSetoid_10
du_partialSetoid_566 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.Poset._.Eq.rawSetoid
d_rawSetoid_568 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_568 :: () -> () -> () -> T_Poset_492 -> T_RawSetoid_12
d_rawSetoid_568 = () -> () -> () -> T_Poset_492 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.refl
d_refl_570 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny
d_refl_570 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny
d_refl_570 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> AgdaAny -> AgdaAny
du_refl_570 T_Poset_492
v3
du_refl_570 :: T_Poset_492 -> AgdaAny -> AgdaAny
du_refl_570 :: T_Poset_492 -> AgdaAny -> AgdaAny
du_refl_570 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.Poset._.Eq.reflexive
d_reflexive_572 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_572 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_572 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_572 T_Poset_492
v3
du_reflexive_572 ::
  T_Poset_492 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_572 :: T_Poset_492 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_572 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
              ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.Poset._.Eq.setoid
d_setoid_574 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> T_Setoid_46
d_setoid_574 :: () -> () -> () -> T_Poset_492 -> T_Setoid_46
d_setoid_574 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> T_Setoid_46
du_setoid_574 T_Poset_492
v3
du_setoid_574 :: T_Poset_492 -> T_Setoid_46
du_setoid_574 :: T_Poset_492 -> T_Setoid_46
du_setoid_574 T_Poset_492
v0 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> T_Setoid_46
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0))
-- Relation.Binary.Bundles.Poset._.Eq.sym
d_sym_576 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_576 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_576 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_576 T_Poset_492
v3
du_sym_576 ::
  T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_576 :: T_Poset_492 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_576 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.Poset._.Eq.trans
d_trans_578 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_578 :: ()
-> ()
-> ()
-> T_Poset_492
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_578 ~()
v0 ~()
v1 ~()
v2 T_Poset_492
v3 = T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_578 T_Poset_492
v3
du_trans_578 ::
  T_Poset_492 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_578 :: T_Poset_492
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_578 T_Poset_492
v0
  = let v1 :: AgdaAny
v1 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (T_Poset_492 -> AgdaAny
forall a b. a -> b
coe T_Poset_492
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.Poset._._∼ᵒ_
d__'8764''7506'__582 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__582 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__582 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._._≁_
d__'8769'__584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8769'__584 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8769'__584 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._._≁ᵒ_
d__'8769''7506'__586 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__586 :: () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__586 = () -> () -> () -> T_Poset_492 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset
d_DecPoset_596 :: p -> p -> p -> ()
d_DecPoset_596 p
a0 p
a1 p
a2 = ()
newtype T_DecPoset_596
  = C_constructor_752 MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_300
-- Relation.Binary.Bundles.DecPoset.Carrier
d_Carrier_612 :: T_DecPoset_596 -> ()
d_Carrier_612 :: T_DecPoset_596 -> ()
d_Carrier_612 = T_DecPoset_596 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._≈_
d__'8776'__614 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8776'__614 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8776'__614 = T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._≤_
d__'8804'__616 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8804'__616 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8804'__616 = T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.isDecPartialOrder
d_isDecPartialOrder_618 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_300
d_isDecPartialOrder_618 :: T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 T_DecPoset_596
v0
  = case T_DecPoset_596 -> T_DecPoset_596
forall a b. a -> b
coe T_DecPoset_596
v0 of
      C_constructor_752 T_IsDecPartialOrder_300
v4 -> T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v4
      T_DecPoset_596
_ -> T_IsDecPartialOrder_300
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecPoset.DPO._≟_
d__'8799'__622 ::
  T_DecPoset_596 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__622 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__622 T_DecPoset_596
v0
  = (T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__312
      ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0))
-- Relation.Binary.Bundles.DecPoset.DPO._≤?_
d__'8804''63'__624 ::
  T_DecPoset_596 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__624 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__624 T_DecPoset_596
v0
  = (T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8804''63'__314
      ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0))
-- Relation.Binary.Bundles.DecPoset.DPO.isDecPreorder
d_isDecPreorder_628 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPreorder_184
d_isDecPreorder_628 :: () -> () -> () -> T_DecPoset_596 -> T_IsDecPreorder_184
d_isDecPreorder_628 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_IsDecPreorder_184
du_isDecPreorder_628 T_DecPoset_596
v3
du_isDecPreorder_628 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPreorder_184
du_isDecPreorder_628 :: T_DecPoset_596 -> T_IsDecPreorder_184
du_isDecPreorder_628 T_DecPoset_596
v0
  = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> T_IsDecPreorder_184
forall a b. a -> b
coe
      T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
MAlonzo.Code.Relation.Binary.Structures.du_isDecPreorder_342
      ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0))
-- Relation.Binary.Bundles.DecPoset.DPO.isPartialOrder
d_isPartialOrder_632 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_632 :: T_DecPoset_596 -> T_IsPartialOrder_248
d_isPartialOrder_632 T_DecPoset_596
v0
  = (T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_310
      ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0))
-- Relation.Binary.Bundles.DecPoset.poset
d_poset_672 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> T_Poset_492
d_poset_672 :: () -> () -> () -> T_DecPoset_596 -> T_Poset_492
d_poset_672 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_Poset_492
du_poset_672 T_DecPoset_596
v3
du_poset_672 :: T_DecPoset_596 -> T_Poset_492
du_poset_672 :: T_DecPoset_596 -> T_Poset_492
du_poset_672 T_DecPoset_596
v0
  = (T_IsPartialOrder_248 -> T_Poset_492)
-> T_IsPartialOrder_248 -> T_Poset_492
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_Poset_492
C_constructor_588
      (T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_310
         ((T_DecPoset_596 -> T_IsDecPartialOrder_300)
-> AgdaAny -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0)))
-- Relation.Binary.Bundles.DecPoset._._∼_
d__'8764'__676 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8764'__676 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8764'__676 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._≉_
d__'8777'__678 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8777'__678 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8777'__678 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._∼ᵒ_
d__'8764''7506'__680 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__680 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__680 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._≁_
d__'8769'__682 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8769'__682 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8769'__682 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._._≁ᵒ_
d__'8769''7506'__684 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__684 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__684 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.antisym
d_antisym_686 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_686 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_686 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_686 T_DecPoset_596
v3
du_antisym_686 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_686 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_686 T_DecPoset_596
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_310
         ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0)))
-- Relation.Binary.Bundles.DecPoset._.isEquivalence
d_isEquivalence_688 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_688 :: () -> () -> () -> T_DecPoset_596 -> T_IsEquivalence_28
d_isEquivalence_688 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_IsEquivalence_28
du_isEquivalence_688 T_DecPoset_596
v3
du_isEquivalence_688 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_688 :: T_DecPoset_596 -> T_IsEquivalence_28
du_isEquivalence_688 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecPoset._.isPreorder
d_isPreorder_690 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_690 :: () -> () -> () -> T_DecPoset_596 -> T_IsPreorder_76
d_isPreorder_690 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_IsPreorder_76
du_isPreorder_690 T_DecPoset_596
v3
du_isPreorder_690 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
du_isPreorder_690 :: T_DecPoset_596 -> T_IsPreorder_76
du_isPreorder_690 T_DecPoset_596
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_310
         ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0)))
-- Relation.Binary.Bundles.DecPoset._.preorder
d_preorder_692 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> T_Preorder_142
d_preorder_692 :: () -> () -> () -> T_DecPoset_596 -> T_Preorder_142
d_preorder_692 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_Preorder_142
du_preorder_692 T_DecPoset_596
v3
du_preorder_692 :: T_DecPoset_596 -> T_Preorder_142
du_preorder_692 :: T_DecPoset_596 -> T_Preorder_142
du_preorder_692 T_DecPoset_596
v0
  = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> T_Preorder_142
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 ((T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0))
-- Relation.Binary.Bundles.DecPoset._.rawRelation
d_rawRelation_694 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_694 :: () -> () -> () -> T_DecPoset_596 -> T_RawRelation_40
d_rawRelation_694 = () -> () -> () -> T_DecPoset_596 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.rawSetoid
d_rawSetoid_696 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_696 :: () -> () -> () -> T_DecPoset_596 -> T_RawSetoid_12
d_rawSetoid_696 = () -> () -> () -> T_DecPoset_596 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.refl
d_refl_698 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny
d_refl_698 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny
d_refl_698 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> AgdaAny -> AgdaAny
du_refl_698 T_DecPoset_596
v3
du_refl_698 :: T_DecPoset_596 -> AgdaAny -> AgdaAny
du_refl_698 :: T_DecPoset_596 -> AgdaAny -> AgdaAny
du_refl_698 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.reflexive
d_reflexive_700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_700 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_700 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_700 T_DecPoset_596
v3
du_reflexive_700 ::
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_700 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_700 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecPoset._.trans
d_trans_702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_702 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_702 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_702 T_DecPoset_596
v3
du_trans_702 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_702 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_702 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecPoset._.∼-resp-≈
d_'8764''45'resp'45''8776'_704 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_704 :: () -> () -> () -> T_DecPoset_596 -> T_Σ_14
d_'8764''45'resp'45''8776'_704 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596 -> T_Σ_14
du_'8764''45'resp'45''8776'_704 T_DecPoset_596
v3
du_'8764''45'resp'45''8776'_704 ::
  T_DecPoset_596 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_704 :: T_DecPoset_596 -> T_Σ_14
du_'8764''45'resp'45''8776'_704 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_706 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_706 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_706 T_DecPoset_596
v3
du_'8764''45'resp'691''45''8776'_706 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_706 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_706 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_708 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_708 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_708 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_708 T_DecPoset_596
v3
du_'8764''45'resp'737''45''8776'_708 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_708 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_708 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.≲-resp-≈
d_'8818''45'resp'45''8776'_710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_710 :: () -> () -> () -> T_DecPoset_596 -> T_Σ_14
d_'8818''45'resp'45''8776'_710 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596 -> T_Σ_14
du_'8818''45'resp'45''8776'_710 T_DecPoset_596
v3
du_'8818''45'resp'45''8776'_710 ::
  T_DecPoset_596 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_710 :: T_DecPoset_596 -> T_Σ_14
du_'8818''45'resp'45''8776'_710 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.≲-respʳ-≈
d_'8818''45'resp'691''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_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_712 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_712 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_712 T_DecPoset_596
v3
du_'8818''45'resp'691''45''8776'_712 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_712 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_712 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.≲-respˡ-≈
d_'8818''45'resp'737''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_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_714 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_714 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_714 T_DecPoset_596
v3
du_'8818''45'resp'737''45''8776'_714 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_714 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_714 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_Poset_492
du_poset_672 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset.decPreorder
d_decPreorder_716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> T_DecPreorder_342
d_decPreorder_716 :: () -> () -> () -> T_DecPoset_596 -> T_DecPreorder_342
d_decPreorder_716 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 T_DecPoset_596
v3
du_decPreorder_716 :: T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 :: T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 T_DecPoset_596
v0
  = (T_IsDecPreorder_184 -> T_DecPreorder_342)
-> AgdaAny -> T_DecPreorder_342
forall a b. a -> b
coe
      T_IsDecPreorder_184 -> T_DecPreorder_342
C_constructor_484
      ((T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
MAlonzo.Code.Relation.Binary.Structures.du_isDecPreorder_342
         ((T_DecPoset_596 -> T_IsDecPartialOrder_300) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_618 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0)))
-- Relation.Binary.Bundles.DecPoset._.Eq._≈_
d__'8776'__722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8776'__722 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8776'__722 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.Eq._≉_
d__'8777'__724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8777'__724 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
d__'8777'__724 = () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.Eq._≟_
d__'8799'__726 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__726 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__726 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__726 T_DecPoset_596
v3
du__'8799'__726 ::
  T_DecPoset_596 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__726 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__726 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__196
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPoset._.Eq.Carrier
d_Carrier_728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_DecPoset_596 -> ()
d_Carrier_728 :: () -> () -> () -> T_DecPoset_596 -> ()
d_Carrier_728 = () -> () -> () -> T_DecPoset_596 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.Eq.decSetoid
d_decSetoid_730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> T_DecSetoid_90
d_decSetoid_730 :: () -> () -> () -> T_DecPoset_596 -> T_DecSetoid_90
d_decSetoid_730 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_DecSetoid_90
du_decSetoid_730 T_DecPoset_596
v3
du_decSetoid_730 :: T_DecPoset_596 -> T_DecSetoid_90
du_decSetoid_730 :: T_DecPoset_596 -> T_DecSetoid_90
du_decSetoid_730 T_DecPoset_596
v0
  = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 ((T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0))
-- Relation.Binary.Bundles.DecPoset._.Eq.isDecEquivalence
d_isDecEquivalence_732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_732 :: () -> () -> () -> T_DecPoset_596 -> T_IsDecEquivalence_48
d_isDecEquivalence_732 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_IsDecEquivalence_48
du_isDecEquivalence_732 T_DecPoset_596
v3
du_isDecEquivalence_732 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_732 :: T_DecPoset_596 -> T_IsDecEquivalence_48
du_isDecEquivalence_732 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      ((T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPreorder_184 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_224
         ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPoset._.Eq.isEquivalence
d_isEquivalence_734 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_734 :: () -> () -> () -> T_DecPoset_596 -> T_IsEquivalence_28
d_isEquivalence_734 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_IsEquivalence_28
du_isEquivalence_734 T_DecPoset_596
v3
du_isEquivalence_734 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_734 :: T_DecPoset_596 -> T_IsEquivalence_28
du_isEquivalence_734 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
            ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecPoset._.Eq.isPartialEquivalence
d_isPartialEquivalence_736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_736 :: () -> () -> () -> T_DecPoset_596 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_736 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3
  = T_DecPoset_596 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_736 T_DecPoset_596
v3
du_isPartialEquivalence_736 ::
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_736 :: T_DecPoset_596 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_736 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecPoset._.Eq.partialSetoid
d_partialSetoid_738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> T_PartialSetoid_10
d_partialSetoid_738 :: () -> () -> () -> T_DecPoset_596 -> T_PartialSetoid_10
d_partialSetoid_738 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_PartialSetoid_10
du_partialSetoid_738 T_DecPoset_596
v3
du_partialSetoid_738 :: T_DecPoset_596 -> T_PartialSetoid_10
du_partialSetoid_738 :: T_DecPoset_596 -> T_PartialSetoid_10
du_partialSetoid_738 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecPoset._.Eq.rawSetoid
d_rawSetoid_740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_740 :: () -> () -> () -> T_DecPoset_596 -> T_RawSetoid_12
d_rawSetoid_740 = () -> () -> () -> T_DecPoset_596 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._.Eq.refl
d_refl_742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny
d_refl_742 :: () -> () -> () -> T_DecPoset_596 -> AgdaAny -> AgdaAny
d_refl_742 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> AgdaAny -> AgdaAny
du_refl_742 T_DecPoset_596
v3
du_refl_742 :: T_DecPoset_596 -> AgdaAny -> AgdaAny
du_refl_742 :: T_DecPoset_596 -> AgdaAny -> AgdaAny
du_refl_742 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
            ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
               ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.DecPoset._.Eq.reflexive
d_reflexive_744 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_744 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_744 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_744 T_DecPoset_596
v3
du_reflexive_744 ::
  T_DecPoset_596 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_744 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_744 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                 ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.DecPoset._.Eq.setoid
d_setoid_746 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> T_Setoid_46
d_setoid_746 :: () -> () -> () -> T_DecPoset_596 -> T_Setoid_46
d_setoid_746 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> T_Setoid_46
du_setoid_746 T_DecPoset_596
v3
du_setoid_746 :: T_DecPoset_596 -> T_Setoid_46
du_setoid_746 :: T_DecPoset_596 -> T_Setoid_46
du_setoid_746 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 ((T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecPoset._.Eq.sym
d_sym_748 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_748 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_748 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_748 T_DecPoset_596
v3
du_sym_748 ::
  T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_748 :: T_DecPoset_596 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_748 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecPoset._.Eq.trans
d_trans_750 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_750 :: ()
-> ()
-> ()
-> T_DecPoset_596
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_750 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_596
v3 = T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_750 T_DecPoset_596
v3
du_trans_750 ::
  T_DecPoset_596 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_750 :: T_DecPoset_596
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_750 T_DecPoset_596
v0
  = let v1 :: AgdaAny
v1 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (T_DecPoset_596 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.StrictPartialOrder
d_StrictPartialOrder_760 :: p -> p -> p -> ()
d_StrictPartialOrder_760 p
a0 p
a1 p
a2 = ()
newtype T_StrictPartialOrder_760
  = C_constructor_842 MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_370
-- Relation.Binary.Bundles.StrictPartialOrder.Carrier
d_Carrier_776 :: T_StrictPartialOrder_760 -> ()
d_Carrier_776 :: T_StrictPartialOrder_760 -> ()
d_Carrier_776 = T_StrictPartialOrder_760 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._≈_
d__'8776'__778 ::
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8776'__778 :: T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8776'__778 = T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._<_
d__'60'__780 ::
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'60'__780 :: T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'60'__780 = T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.isStrictPartialOrder
d_isStrictPartialOrder_782 ::
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 :: T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 T_StrictPartialOrder_760
v0
  = case T_StrictPartialOrder_760 -> T_StrictPartialOrder_760
forall a b. a -> b
coe T_StrictPartialOrder_760
v0 of
      C_constructor_842 T_IsStrictPartialOrder_370
v4 -> T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v4
      T_StrictPartialOrder_760
_ -> T_IsStrictPartialOrder_370
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.StrictPartialOrder._.<-resp-≈
d_'60''45'resp'45''8776'_786 ::
  T_StrictPartialOrder_760 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_786 :: T_StrictPartialOrder_760 -> T_Σ_14
d_'60''45'resp'45''8776'_786 T_StrictPartialOrder_760
v0
  = (T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_388
      ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_788 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_788 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_788 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3
  = T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_788 T_StrictPartialOrder_760
v3
du_'60''45'resp'691''45''8776'_788 ::
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_788 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_788 T_StrictPartialOrder_760
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_408
      ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_790 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_790 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_790 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3
  = T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_790 T_StrictPartialOrder_760
v3
du_'60''45'resp'737''45''8776'_790 ::
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_790 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_790 T_StrictPartialOrder_760
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_410
      ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.asym
d_asym_792 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_792 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_792 = ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.irrefl
d_irrefl_794 ::
  T_StrictPartialOrder_760 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_794 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_794 = T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.isEquivalence
d_isEquivalence_796 ::
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_796 :: T_StrictPartialOrder_760 -> T_IsEquivalence_28
d_isEquivalence_796 T_StrictPartialOrder_760
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
      ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.trans
d_trans_798 ::
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_798 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_798 T_StrictPartialOrder_760
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_386
      ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq.setoid
d_setoid_802 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> T_Setoid_46
d_setoid_802 :: () -> () -> () -> T_StrictPartialOrder_760 -> T_Setoid_46
d_setoid_802 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 T_StrictPartialOrder_760
v3
du_setoid_802 :: T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 :: T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 T_StrictPartialOrder_760
v0
  = (T_IsEquivalence_28 -> T_Setoid_46)
-> T_IsEquivalence_28 -> T_Setoid_46
forall a b. a -> b
coe
      T_IsEquivalence_28 -> T_Setoid_46
C_constructor_84
      (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
         ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._._≈_
d__'8776'__806 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8776'__806 :: ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8776'__806 = ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._._≉_
d__'8777'__808 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8777'__808 :: ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8777'__808 = ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.Carrier
d_Carrier_810 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> ()
d_Carrier_810 :: () -> () -> () -> T_StrictPartialOrder_760 -> ()
d_Carrier_810 = () -> () -> () -> T_StrictPartialOrder_760 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_812 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_812 :: () -> () -> () -> T_StrictPartialOrder_760 -> T_IsEquivalence_28
d_isEquivalence_812 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760 -> T_IsEquivalence_28
du_isEquivalence_812 T_StrictPartialOrder_760
v3
du_isEquivalence_812 ::
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_812 :: T_StrictPartialOrder_760 -> T_IsEquivalence_28
du_isEquivalence_812 T_StrictPartialOrder_760
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
      ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_814 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_814 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_814 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3
  = T_StrictPartialOrder_760 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_814 T_StrictPartialOrder_760
v3
du_isPartialEquivalence_814 ::
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_814 :: T_StrictPartialOrder_760 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_814 T_StrictPartialOrder_760
v0
  = let v1 :: AgdaAny
v1 = (T_StrictPartialOrder_760 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.partialSetoid
d_partialSetoid_816 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> T_PartialSetoid_10
d_partialSetoid_816 :: () -> () -> () -> T_StrictPartialOrder_760 -> T_PartialSetoid_10
d_partialSetoid_816 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760 -> T_PartialSetoid_10
du_partialSetoid_816 T_StrictPartialOrder_760
v3
du_partialSetoid_816 ::
  T_StrictPartialOrder_760 -> T_PartialSetoid_10
du_partialSetoid_816 :: T_StrictPartialOrder_760 -> T_PartialSetoid_10
du_partialSetoid_816 T_StrictPartialOrder_760
v0
  = (T_Setoid_46 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_StrictPartialOrder_760 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.rawSetoid
d_rawSetoid_818 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_818 :: () -> () -> () -> T_StrictPartialOrder_760 -> T_RawSetoid_12
d_rawSetoid_818 = () -> () -> () -> T_StrictPartialOrder_760 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.refl
d_refl_820 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny
d_refl_820 :: () -> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny
d_refl_820 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny
du_refl_820 T_StrictPartialOrder_760
v3
du_refl_820 :: T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny
du_refl_820 :: T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny
du_refl_820 T_StrictPartialOrder_760
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
         ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.reflexive
d_reflexive_822 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_822 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_822 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_822 T_StrictPartialOrder_760
v3
du_reflexive_822 ::
  T_StrictPartialOrder_760 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_822 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_822 T_StrictPartialOrder_760
v0
  = let v1 :: AgdaAny
v1 = (T_StrictPartialOrder_760 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
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_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
           ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.sym
d_sym_824 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_824 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_824 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_824 T_StrictPartialOrder_760
v3
du_sym_824 ::
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_824 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_824 T_StrictPartialOrder_760
v0
  = let v1 :: AgdaAny
v1 = (T_StrictPartialOrder_760 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.trans
d_trans_826 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_826 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_760
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_826 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_760
v3 = T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_826 T_StrictPartialOrder_760
v3
du_trans_826 ::
  T_StrictPartialOrder_760 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_826 :: T_StrictPartialOrder_760
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_826 T_StrictPartialOrder_760
v0
  = let v1 :: AgdaAny
v1 = (T_StrictPartialOrder_760 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_Setoid_46
du_setoid_802 (T_StrictPartialOrder_760 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
         ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder.rawRelation
d_rawRelation_828 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_828 :: () -> () -> () -> T_StrictPartialOrder_760 -> T_RawRelation_40
d_rawRelation_828 = () -> () -> () -> T_StrictPartialOrder_760 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._._∼ᵒ_
d__'8764''7506'__832 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__832 :: ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__832 = ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._._≉_
d__'8777'__834 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8777'__834 :: ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8777'__834 = ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._._≁_
d__'8769'__836 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8769'__836 :: ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8769'__836 = ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._._≁ᵒ_
d__'8769''7506'__838 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__838 :: ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__838 = ()
-> () -> () -> T_StrictPartialOrder_760 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.rawSetoid
d_rawSetoid_840 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_760 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_840 :: () -> () -> () -> T_StrictPartialOrder_760 -> T_RawSetoid_12
d_rawSetoid_840 = () -> () -> () -> T_StrictPartialOrder_760 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder
d_DecStrictPartialOrder_850 :: p -> p -> p -> ()
d_DecStrictPartialOrder_850 p
a0 p
a1 p
a2 = ()
newtype T_DecStrictPartialOrder_850
  = C_constructor_978 MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_418
-- Relation.Binary.Bundles.DecStrictPartialOrder.Carrier
d_Carrier_866 :: T_DecStrictPartialOrder_850 -> ()
d_Carrier_866 :: T_DecStrictPartialOrder_850 -> ()
d_Carrier_866 = T_DecStrictPartialOrder_850 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._≈_
d__'8776'__868 ::
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8776'__868 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8776'__868 = T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._<_
d__'60'__870 ::
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'60'__870 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'60'__870 = T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.isDecStrictPartialOrder
d_isDecStrictPartialOrder_872 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 :: T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 T_DecStrictPartialOrder_850
v0
  = case T_DecStrictPartialOrder_850 -> T_DecStrictPartialOrder_850
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0 of
      C_constructor_978 T_IsDecStrictPartialOrder_418
v4 -> T_IsDecStrictPartialOrder_418 -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v4
      T_DecStrictPartialOrder_850
_ -> T_IsDecStrictPartialOrder_418
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO._<?_
d__'60''63'__876 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__876 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'60''63'__876 T_DecStrictPartialOrder_850
v0
  = (T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'60''63'__432
      ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO._≟_
d__'8799'__878 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__878 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__878 T_DecStrictPartialOrder_850
v0
  = (T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__430
      ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.isStrictPartialOrder
d_isStrictPartialOrder_892 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_370
d_isStrictPartialOrder_892 :: T_DecStrictPartialOrder_850 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_892 T_DecStrictPartialOrder_850
v0
  = (T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
      ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.strictPartialOrder
d_strictPartialOrder_914 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760
d_strictPartialOrder_914 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> T_StrictPartialOrder_760
d_strictPartialOrder_914 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3
  = T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760
du_strictPartialOrder_914 T_DecStrictPartialOrder_850
v3
du_strictPartialOrder_914 ::
  T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760
du_strictPartialOrder_914 :: T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760
du_strictPartialOrder_914 T_DecStrictPartialOrder_850
v0
  = (T_IsStrictPartialOrder_370 -> T_StrictPartialOrder_760)
-> T_IsStrictPartialOrder_370 -> T_StrictPartialOrder_760
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_StrictPartialOrder_760
C_constructor_842
      (T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._._∼ᵒ_
d__'8764''7506'__918 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__918 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
d__'8764''7506'__918 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._._≉_
d__'8777'__920 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8777'__920 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
d__'8777'__920 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._._≁_
d__'8769'__922 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8769'__922 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
d__'8769'__922 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._._≁ᵒ_
d__'8769''7506'__924 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__924 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
d__'8769''7506'__924 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.<-resp-≈
d_'60''45'resp'45''8776'_926 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_926 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_Σ_14
d_'60''45'resp'45''8776'_926 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3
  = T_DecStrictPartialOrder_850 -> T_Σ_14
du_'60''45'resp'45''8776'_926 T_DecStrictPartialOrder_850
v3
du_'60''45'resp'45''8776'_926 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_926 :: T_DecStrictPartialOrder_850 -> T_Σ_14
du_'60''45'resp'45''8776'_926 T_DecStrictPartialOrder_850
v0
  = (T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_388
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_928 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_928 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_928 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3
  = T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_928 T_DecStrictPartialOrder_850
v3
du_'60''45'resp'691''45''8776'_928 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_928 :: T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_928 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760
du_strictPartialOrder_914 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_408
         ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_930 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_930 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_930 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3
  = T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_930 T_DecStrictPartialOrder_850
v3
du_'60''45'resp'737''45''8776'_930 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_930 :: T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_930 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_StrictPartialOrder_760
du_strictPartialOrder_914 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_410
         ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.asym
d_asym_932 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_932 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_932 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.irrefl
d_irrefl_934 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_934 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl_934 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.isEquivalence
d_isEquivalence_936 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_936 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_IsEquivalence_28
d_isEquivalence_936 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> T_IsEquivalence_28
du_isEquivalence_936 T_DecStrictPartialOrder_850
v3
du_isEquivalence_936 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_936 :: T_DecStrictPartialOrder_850 -> T_IsEquivalence_28
du_isEquivalence_936 T_DecStrictPartialOrder_850
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder._.rawRelation
d_rawRelation_938 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_938 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_RawRelation_40
d_rawRelation_938 = () -> () -> () -> T_DecStrictPartialOrder_850 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.rawSetoid
d_rawSetoid_940 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_940 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_RawSetoid_12
d_rawSetoid_940 = () -> () -> () -> T_DecStrictPartialOrder_850 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._.trans
d_trans_942 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_942 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_942 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_942 T_DecStrictPartialOrder_850
v3
du_trans_942 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_942 :: T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_942 T_DecStrictPartialOrder_850
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_386
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq.decSetoid
d_decSetoid_946 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> T_DecSetoid_90
d_decSetoid_946 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_DecSetoid_90
d_decSetoid_946 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 T_DecStrictPartialOrder_850
v3
du_decSetoid_946 :: T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 :: T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 T_DecStrictPartialOrder_850
v0
  = (T_IsDecEquivalence_48 -> T_DecSetoid_90)
-> AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe
      T_IsDecEquivalence_48 -> T_DecSetoid_90
C_constructor_134
      ((T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_464
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≈_
d__'8776'__950 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8776'__950 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
d__'8776'__950 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≉_
d__'8777'__952 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> ()
d__'8777'__952 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
d__'8777'__952 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≟_
d__'8799'__954 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__954 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__954 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__954 T_DecStrictPartialOrder_850
v3
du__'8799'__954 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__954 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__954 T_DecStrictPartialOrder_850
v0
  = (T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__430
      ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.Carrier
d_Carrier_956 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> ()
d_Carrier_956 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> ()
d_Carrier_956 = () -> () -> () -> T_DecStrictPartialOrder_850 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isDecEquivalence
d_isDecEquivalence_958 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_958 :: ()
-> () -> () -> T_DecStrictPartialOrder_850 -> T_IsDecEquivalence_48
d_isDecEquivalence_958 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> T_IsDecEquivalence_48
du_isDecEquivalence_958 T_DecStrictPartialOrder_850
v3
du_isDecEquivalence_958 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_958 :: T_DecStrictPartialOrder_850 -> T_IsDecEquivalence_48
du_isDecEquivalence_958 T_DecStrictPartialOrder_850
v0
  = (T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_464
      ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_960 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_960 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_IsEquivalence_28
d_isEquivalence_960 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> T_IsEquivalence_28
du_isEquivalence_960 T_DecStrictPartialOrder_850
v3
du_isEquivalence_960 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_960 :: T_DecStrictPartialOrder_850 -> T_IsEquivalence_28
du_isEquivalence_960 T_DecStrictPartialOrder_850
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_962 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_962 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_962 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3
  = T_DecStrictPartialOrder_850 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_962 T_DecStrictPartialOrder_850
v3
du_isPartialEquivalence_962 ::
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_962 :: T_DecStrictPartialOrder_850 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_962 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.partialSetoid
d_partialSetoid_964 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> T_PartialSetoid_10
d_partialSetoid_964 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_PartialSetoid_10
d_partialSetoid_964 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> T_PartialSetoid_10
du_partialSetoid_964 T_DecStrictPartialOrder_850
v3
du_partialSetoid_964 ::
  T_DecStrictPartialOrder_850 -> T_PartialSetoid_10
du_partialSetoid_964 :: T_DecStrictPartialOrder_850 -> T_PartialSetoid_10
du_partialSetoid_964 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.rawSetoid
d_rawSetoid_966 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_966 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_RawSetoid_12
d_rawSetoid_966 = () -> () -> () -> T_DecStrictPartialOrder_850 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.refl
d_refl_968 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny
d_refl_968 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny
d_refl_968 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny
du_refl_968 T_DecStrictPartialOrder_850
v3
du_refl_968 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny
du_refl_968 :: T_DecStrictPartialOrder_850 -> AgdaAny -> AgdaAny
du_refl_968 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
         ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
            ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.reflexive
d_reflexive_970 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_970 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_970 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_970 T_DecStrictPartialOrder_850
v3
du_reflexive_970 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_970 :: T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_970 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
              ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.setoid
d_setoid_972 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 -> T_Setoid_46
d_setoid_972 :: () -> () -> () -> T_DecStrictPartialOrder_850 -> T_Setoid_46
d_setoid_972 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850 -> T_Setoid_46
du_setoid_972 T_DecStrictPartialOrder_850
v3
du_setoid_972 :: T_DecStrictPartialOrder_850 -> T_Setoid_46
du_setoid_972 :: T_DecStrictPartialOrder_850 -> T_Setoid_46
du_setoid_972 T_DecStrictPartialOrder_850
v0
  = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> T_Setoid_46
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 ((T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.sym
d_sym_974 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_974 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_974 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_974 T_DecStrictPartialOrder_850
v3
du_sym_974 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_974 :: T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_974 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.trans
d_trans_976 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_976 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_850
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_976 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_850
v3 = T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_976 T_DecStrictPartialOrder_850
v3
du_trans_976 ::
  T_DecStrictPartialOrder_850 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_976 :: T_DecStrictPartialOrder_850
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_976 T_DecStrictPartialOrder_850
v0
  = let v1 :: AgdaAny
v1 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (T_DecStrictPartialOrder_850 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
            ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder
d_TotalOrder_986 :: p -> p -> p -> ()
d_TotalOrder_986 p
a0 p
a1 p
a2 = ()
newtype T_TotalOrder_986
  = C_constructor_1090 MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_488
-- Relation.Binary.Bundles.TotalOrder.Carrier
d_Carrier_1002 :: T_TotalOrder_986 -> ()
d_Carrier_1002 :: T_TotalOrder_986 -> ()
d_Carrier_1002 = T_TotalOrder_986 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._≈_
d__'8776'__1004 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1004 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1004 = T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._≤_
d__'8804'__1006 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8804'__1006 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8804'__1006 = T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder.isTotalOrder
d_isTotalOrder_1008 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_488
d_isTotalOrder_1008 :: T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 T_TotalOrder_986
v0
  = case T_TotalOrder_986 -> T_TotalOrder_986
forall a b. a -> b
coe T_TotalOrder_986
v0 of
      C_constructor_1090 T_IsTotalOrder_488
v4 -> T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v4
      T_TotalOrder_986
_ -> T_IsTotalOrder_488
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.TotalOrder._.isPartialOrder
d_isPartialOrder_1012 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_1012 :: T_TotalOrder_986 -> T_IsPartialOrder_248
d_isPartialOrder_1012 T_TotalOrder_986
v0
  = (T_IsTotalOrder_488 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
      ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0))
-- Relation.Binary.Bundles.TotalOrder._.isTotalPreorder
d_isTotalPreorder_1014 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_132
d_isTotalPreorder_1014 :: () -> () -> () -> T_TotalOrder_986 -> T_IsTotalPreorder_132
d_isTotalPreorder_1014 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_IsTotalPreorder_132
du_isTotalPreorder_1014 T_TotalOrder_986
v3
du_isTotalPreorder_1014 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_132
du_isTotalPreorder_1014 :: T_TotalOrder_986 -> T_IsTotalPreorder_132
du_isTotalPreorder_1014 T_TotalOrder_986
v0
  = (T_IsTotalOrder_488 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
      T_IsTotalOrder_488 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_538
      ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0))
-- Relation.Binary.Bundles.TotalOrder._.total
d_total_1016 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_1016 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_1016 T_TotalOrder_986
v0
  = (T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_498
      ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0))
-- Relation.Binary.Bundles.TotalOrder.poset
d_poset_1018 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> T_Poset_492
d_poset_1018 :: () -> () -> () -> T_TotalOrder_986 -> T_Poset_492
d_poset_1018 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_Poset_492
du_poset_1018 T_TotalOrder_986
v3
du_poset_1018 :: T_TotalOrder_986 -> T_Poset_492
du_poset_1018 :: T_TotalOrder_986 -> T_Poset_492
du_poset_1018 T_TotalOrder_986
v0
  = (T_IsPartialOrder_248 -> T_Poset_492)
-> T_IsPartialOrder_248 -> T_Poset_492
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_Poset_492
C_constructor_588
      (T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
         ((T_TotalOrder_986 -> T_IsTotalOrder_488)
-> AgdaAny -> T_IsTotalOrder_488
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0)))
-- Relation.Binary.Bundles.TotalOrder._._∼_
d__'8764'__1022 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8764'__1022 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8764'__1022 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._≉_
d__'8777'__1024 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1024 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1024 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._∼ᵒ_
d__'8764''7506'__1026 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1026 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1026 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._≁_
d__'8769'__1028 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1028 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1028 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._._≁ᵒ_
d__'8769''7506'__1030 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1030 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1030 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.antisym
d_antisym_1032 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_1032 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_1032 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_1032 T_TotalOrder_986
v3
du_antisym_1032 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_1032 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_1032 T_TotalOrder_986
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
      ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
         ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0)))
-- Relation.Binary.Bundles.TotalOrder._.isEquivalence
d_isEquivalence_1034 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1034 :: () -> () -> () -> T_TotalOrder_986 -> T_IsEquivalence_28
d_isEquivalence_1034 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_IsEquivalence_28
du_isEquivalence_1034 T_TotalOrder_986
v3
du_isEquivalence_1034 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1034 :: T_TotalOrder_986 -> T_IsEquivalence_28
du_isEquivalence_1034 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.TotalOrder._.isPreorder
d_isPreorder_1036 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_1036 :: () -> () -> () -> T_TotalOrder_986 -> T_IsPreorder_76
d_isPreorder_1036 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_IsPreorder_76
du_isPreorder_1036 T_TotalOrder_986
v3
du_isPreorder_1036 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
du_isPreorder_1036 :: T_TotalOrder_986 -> T_IsPreorder_76
du_isPreorder_1036 T_TotalOrder_986
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
      ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
         ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0)))
-- Relation.Binary.Bundles.TotalOrder._.preorder
d_preorder_1038 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> T_Preorder_142
d_preorder_1038 :: () -> () -> () -> T_TotalOrder_986 -> T_Preorder_142
d_preorder_1038 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_Preorder_142
du_preorder_1038 T_TotalOrder_986
v3
du_preorder_1038 :: T_TotalOrder_986 -> T_Preorder_142
du_preorder_1038 :: T_TotalOrder_986 -> T_Preorder_142
du_preorder_1038 T_TotalOrder_986
v0
  = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> T_Preorder_142
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 ((T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0))
-- Relation.Binary.Bundles.TotalOrder._.rawRelation
d_rawRelation_1040 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_1040 :: () -> () -> () -> T_TotalOrder_986 -> T_RawRelation_40
d_rawRelation_1040 = () -> () -> () -> T_TotalOrder_986 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.rawSetoid
d_rawSetoid_1042 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1042 :: () -> () -> () -> T_TotalOrder_986 -> T_RawSetoid_12
d_rawSetoid_1042 = () -> () -> () -> T_TotalOrder_986 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.refl
d_refl_1044 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny
d_refl_1044 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny
d_refl_1044 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> AgdaAny -> AgdaAny
du_refl_1044 T_TotalOrder_986
v3
du_refl_1044 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny
du_refl_1044 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny
du_refl_1044 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.reflexive
d_reflexive_1046 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_1046 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_1046 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1046 T_TotalOrder_986
v3
du_reflexive_1046 ::
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1046 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1046 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.TotalOrder._.trans
d_trans_1048 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1048 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1048 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1048 T_TotalOrder_986
v3
du_trans_1048 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1048 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1048 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
            ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.TotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_1050 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_1050 :: () -> () -> () -> T_TotalOrder_986 -> T_Σ_14
d_'8764''45'resp'45''8776'_1050 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986 -> T_Σ_14
du_'8764''45'resp'45''8776'_1050 T_TotalOrder_986
v3
du_'8764''45'resp'45''8776'_1050 ::
  T_TotalOrder_986 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_1050 :: T_TotalOrder_986 -> T_Σ_14
du_'8764''45'resp'45''8776'_1050 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_1052 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_1052 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_1052 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1052 T_TotalOrder_986
v3
du_'8764''45'resp'691''45''8776'_1052 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1052 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1052 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_1054 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_1054 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_1054 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1054 T_TotalOrder_986
v3
du_'8764''45'resp'737''45''8776'_1054 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1054 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1054 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_1056 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_1056 :: () -> () -> () -> T_TotalOrder_986 -> T_Σ_14
d_'8818''45'resp'45''8776'_1056 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986 -> T_Σ_14
du_'8818''45'resp'45''8776'_1056 T_TotalOrder_986
v3
du_'8818''45'resp'45''8776'_1056 ::
  T_TotalOrder_986 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_1056 :: T_TotalOrder_986 -> T_Σ_14
du_'8818''45'resp'45''8776'_1056 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_1058 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_1058 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_1058 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1058 T_TotalOrder_986
v3
du_'8818''45'resp'691''45''8776'_1058 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1058 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1058 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_1060 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_1060 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_1060 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1060 T_TotalOrder_986
v3
du_'8818''45'resp'737''45''8776'_1060 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1060 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1060 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq._≈_
d__'8776'__1064 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1064 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1064 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq._≉_
d__'8777'__1066 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1066 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1066 = () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.Carrier
d_Carrier_1068 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_TotalOrder_986 -> ()
d_Carrier_1068 :: () -> () -> () -> T_TotalOrder_986 -> ()
d_Carrier_1068 = () -> () -> () -> T_TotalOrder_986 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.isEquivalence
d_isEquivalence_1070 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1070 :: () -> () -> () -> T_TotalOrder_986 -> T_IsEquivalence_28
d_isEquivalence_1070 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_IsEquivalence_28
du_isEquivalence_1070 T_TotalOrder_986
v3
du_isEquivalence_1070 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1070 :: T_TotalOrder_986 -> T_IsEquivalence_28
du_isEquivalence_1070 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1072 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1072 :: () -> () -> () -> T_TotalOrder_986 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1072 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3
  = T_TotalOrder_986 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1072 T_TotalOrder_986
v3
du_isPartialEquivalence_1072 ::
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1072 :: T_TotalOrder_986 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1072 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.partialSetoid
d_partialSetoid_1074 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> T_PartialSetoid_10
d_partialSetoid_1074 :: () -> () -> () -> T_TotalOrder_986 -> T_PartialSetoid_10
d_partialSetoid_1074 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_PartialSetoid_10
du_partialSetoid_1074 T_TotalOrder_986
v3
du_partialSetoid_1074 :: T_TotalOrder_986 -> T_PartialSetoid_10
du_partialSetoid_1074 :: T_TotalOrder_986 -> T_PartialSetoid_10
du_partialSetoid_1074 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.rawSetoid
d_rawSetoid_1076 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1076 :: () -> () -> () -> T_TotalOrder_986 -> T_RawSetoid_12
d_rawSetoid_1076 = () -> () -> () -> T_TotalOrder_986 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.refl
d_refl_1078 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny
d_refl_1078 :: () -> () -> () -> T_TotalOrder_986 -> AgdaAny -> AgdaAny
d_refl_1078 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> AgdaAny -> AgdaAny
du_refl_1078 T_TotalOrder_986
v3
du_refl_1078 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny
du_refl_1078 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny
du_refl_1078 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
            ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.reflexive
d_reflexive_1080 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1080 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1080 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1080 T_TotalOrder_986
v3
du_reflexive_1080 ::
  T_TotalOrder_986 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1080 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1080 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                 ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.TotalOrder._.Eq.setoid
d_setoid_1082 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> T_Setoid_46
d_setoid_1082 :: () -> () -> () -> T_TotalOrder_986 -> T_Setoid_46
d_setoid_1082 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_Setoid_46
du_setoid_1082 T_TotalOrder_986
v3
du_setoid_1082 :: T_TotalOrder_986 -> T_Setoid_46
du_setoid_1082 :: T_TotalOrder_986 -> T_Setoid_46
du_setoid_1082 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe ((T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.TotalOrder._.Eq.sym
d_sym_1084 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1084 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1084 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1084 T_TotalOrder_986
v3
du_sym_1084 ::
  T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1084 :: T_TotalOrder_986 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1084 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.trans
d_trans_1086 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1086 :: ()
-> ()
-> ()
-> T_TotalOrder_986
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1086 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1086 T_TotalOrder_986
v3
du_trans_1086 ::
  T_TotalOrder_986 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1086 :: T_TotalOrder_986
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1086 T_TotalOrder_986
v0
  = let v1 :: AgdaAny
v1 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Preorder_142 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_Setoid_46
du_setoid_190 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.TotalOrder.totalPreorder
d_totalPreorder_1088 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_986 -> T_TotalPreorder_240
d_totalPreorder_1088 :: () -> () -> () -> T_TotalOrder_986 -> T_TotalPreorder_240
d_totalPreorder_1088 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_986
v3 = T_TotalOrder_986 -> T_TotalPreorder_240
du_totalPreorder_1088 T_TotalOrder_986
v3
du_totalPreorder_1088 :: T_TotalOrder_986 -> T_TotalPreorder_240
du_totalPreorder_1088 :: T_TotalOrder_986 -> T_TotalPreorder_240
du_totalPreorder_1088 T_TotalOrder_986
v0
  = (T_IsTotalPreorder_132 -> T_TotalPreorder_240)
-> AgdaAny -> T_TotalPreorder_240
forall a b. a -> b
coe
      T_IsTotalPreorder_132 -> T_TotalPreorder_240
C_constructor_334
      ((T_IsTotalOrder_488 -> T_IsTotalPreorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_488 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_538
         ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (T_TotalOrder_986 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986
v0)))
-- Relation.Binary.Bundles.DecTotalOrder
d_DecTotalOrder_1098 :: p -> p -> p -> ()
d_DecTotalOrder_1098 p
a0 p
a1 p
a2 = ()
newtype T_DecTotalOrder_1098
  = C_constructor_1272 MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_546
-- Relation.Binary.Bundles.DecTotalOrder.Carrier
d_Carrier_1114 :: T_DecTotalOrder_1098 -> ()
d_Carrier_1114 :: T_DecTotalOrder_1098 -> ()
d_Carrier_1114 = T_DecTotalOrder_1098 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._≈_
d__'8776'__1116 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1116 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1116 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._≤_
d__'8804'__1118 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8804'__1118 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8804'__1118 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder.isDecTotalOrder
d_isDecTotalOrder_1120 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 :: T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 T_DecTotalOrder_1098
v0
  = case T_DecTotalOrder_1098 -> T_DecTotalOrder_1098
forall a b. a -> b
coe T_DecTotalOrder_1098
v0 of
      C_constructor_1272 T_IsDecTotalOrder_546
v4 -> T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v4
      T_DecTotalOrder_1098
_ -> T_IsDecTotalOrder_546
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecTotalOrder.DTO._≟_
d__'8799'__1124 ::
  T_DecTotalOrder_1098 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1124 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__1124 T_DecTotalOrder_1098
v0
  = (T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__558
      ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO._≤?_
d__'8804''63'__1126 ::
  T_DecTotalOrder_1098 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__1126 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__1126 T_DecTotalOrder_1098
v0
  = (T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8804''63'__560
      ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isDecPartialOrder
d_isDecPartialOrder_1130 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_300
d_isDecPartialOrder_1130 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_1130 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_1130 T_DecTotalOrder_1098
v3
du_isDecPartialOrder_1130 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_300
du_isDecPartialOrder_1130 :: T_DecTotalOrder_1098 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_1130 T_DecTotalOrder_1098
v0
  = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> T_IsDecPartialOrder_300
forall a b. a -> b
coe
      T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
MAlonzo.Code.Relation.Binary.Structures.du_isDecPartialOrder_594
      ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isTotalOrder
d_isTotalOrder_1140 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_488
d_isTotalOrder_1140 :: T_DecTotalOrder_1098 -> T_IsTotalOrder_488
d_isTotalOrder_1140 T_DecTotalOrder_1098
v0
  = (T_IsDecTotalOrder_546 -> T_IsTotalOrder_488)
-> AgdaAny -> T_IsTotalOrder_488
forall a b. a -> b
coe
      T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_556
      ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0))
-- Relation.Binary.Bundles.DecTotalOrder.totalOrder
d_totalOrder_1182 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_TotalOrder_986
d_totalOrder_1182 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_TotalOrder_986
d_totalOrder_1182 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 T_DecTotalOrder_1098
v3
du_totalOrder_1182 :: T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 :: T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 T_DecTotalOrder_1098
v0
  = (T_IsTotalOrder_488 -> T_TotalOrder_986)
-> T_IsTotalOrder_488 -> T_TotalOrder_986
forall a b. a -> b
coe
      T_IsTotalOrder_488 -> T_TotalOrder_986
C_constructor_1090
      (T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_556
         ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._._∼_
d__'8764'__1186 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8764'__1186 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8764'__1186 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._≉_
d__'8777'__1188 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1188 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1188 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._∼ᵒ_
d__'8764''7506'__1190 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1190 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1190 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._≁_
d__'8769'__1192 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1192 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1192 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._._≁ᵒ_
d__'8769''7506'__1194 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1194 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1194 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.antisym
d_antisym_1196 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_1196 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_antisym_1196 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_1196 T_DecTotalOrder_1098
v3
du_antisym_1196 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_1196 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_antisym_1196 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_258
         ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
            ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecTotalOrder._.isEquivalence
d_isEquivalence_1198 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1198 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsEquivalence_28
d_isEquivalence_1198 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_IsEquivalence_28
du_isEquivalence_1198 T_DecTotalOrder_1098
v3
du_isEquivalence_1198 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1198 :: T_DecTotalOrder_1098 -> T_IsEquivalence_28
du_isEquivalence_1198 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.isPartialOrder
d_isPartialOrder_1200 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
d_isPartialOrder_1200 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsPartialOrder_248
d_isPartialOrder_1200 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_IsPartialOrder_248
du_isPartialOrder_1200 T_DecTotalOrder_1098
v3
du_isPartialOrder_1200 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_248
du_isPartialOrder_1200 :: T_DecTotalOrder_1098 -> T_IsPartialOrder_248
du_isPartialOrder_1200 T_DecTotalOrder_1098
v0
  = (T_IsTotalOrder_488 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe
      T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
      ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_556
         ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.isPreorder
d_isPreorder_1202 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
d_isPreorder_1202 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsPreorder_76
d_isPreorder_1202 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_IsPreorder_76
du_isPreorder_1202 T_DecTotalOrder_1098
v3
du_isPreorder_1202 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_76
du_isPreorder_1202 :: T_DecTotalOrder_1098 -> T_IsPreorder_76
du_isPreorder_1202 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
         ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_488 -> T_IsPartialOrder_248
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_496
            ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DecTotalOrder._.isTotalPreorder
d_isTotalPreorder_1204 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_132
d_isTotalPreorder_1204 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsTotalPreorder_132
d_isTotalPreorder_1204 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_IsTotalPreorder_132
du_isTotalPreorder_1204 T_DecTotalOrder_1098
v3
du_isTotalPreorder_1204 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_132
du_isTotalPreorder_1204 :: T_DecTotalOrder_1098 -> T_IsTotalPreorder_132
du_isTotalPreorder_1204 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
      ((T_IsTotalOrder_488 -> T_IsTotalPreorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_488 -> T_IsTotalPreorder_132
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_538
         ((T_TotalOrder_986 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_IsTotalOrder_488
d_isTotalOrder_1008 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.poset
d_poset_1206 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_Poset_492
d_poset_1206 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_Poset_492
d_poset_1206 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_Poset_492
du_poset_1206 T_DecTotalOrder_1098
v3
du_poset_1206 :: T_DecTotalOrder_1098 -> T_Poset_492
du_poset_1206 :: T_DecTotalOrder_1098 -> T_Poset_492
du_poset_1206 T_DecTotalOrder_1098
v0
  = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> T_Poset_492
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 ((T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.preorder
d_preorder_1208 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_Preorder_142
d_preorder_1208 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_Preorder_142
d_preorder_1208 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_Preorder_142
du_preorder_1208 T_DecTotalOrder_1098
v3
du_preorder_1208 :: T_DecTotalOrder_1098 -> T_Preorder_142
du_preorder_1208 :: T_DecTotalOrder_1098 -> T_Preorder_142
du_preorder_1208 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_Preorder_142
forall a b. a -> b
coe ((T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 ((T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.rawRelation
d_rawRelation_1210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_1210 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_RawRelation_40
d_rawRelation_1210 = () -> () -> () -> T_DecTotalOrder_1098 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.rawSetoid
d_rawSetoid_1212 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1212 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_RawSetoid_12
d_rawSetoid_1212 = () -> () -> () -> T_DecTotalOrder_1098 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.refl
d_refl_1214 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
d_refl_1214 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
d_refl_1214 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
du_refl_1214 T_DecTotalOrder_1098
v3
du_refl_1214 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
du_refl_1214 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
du_refl_1214 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_104
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.reflexive
d_reflexive_1216 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_1216 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_reflexive_1216 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1216 T_DecTotalOrder_1098
v3
du_reflexive_1216 ::
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1216 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_reflexive_1216 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_88
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.total
d_total_1218 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_1218 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
d_total_1218 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_total_1218 T_DecTotalOrder_1098
v3
du_total_1218 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_total_1218 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> T__'8846'__30
du_total_1218 T_DecTotalOrder_1098
v0
  = (T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_498
      ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_556
         ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.totalPreorder
d_totalPreorder_1220 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_TotalPreorder_240
d_totalPreorder_1220 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_TotalPreorder_240
d_totalPreorder_1220 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_TotalPreorder_240
du_totalPreorder_1220 T_DecTotalOrder_1098
v3
du_totalPreorder_1220 ::
  T_DecTotalOrder_1098 -> T_TotalPreorder_240
du_totalPreorder_1220 :: T_DecTotalOrder_1098 -> T_TotalPreorder_240
du_totalPreorder_1220 T_DecTotalOrder_1098
v0
  = (T_TotalOrder_986 -> T_TotalPreorder_240)
-> AgdaAny -> T_TotalPreorder_240
forall a b. a -> b
coe T_TotalOrder_986 -> T_TotalPreorder_240
du_totalPreorder_1088 ((T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.trans
d_trans_1222 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1222 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1222 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1222 T_DecTotalOrder_1098
v3
du_trans_1222 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1222 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1222 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_90
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_248 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_256
               ((T_Poset_492 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_IsPartialOrder_248
d_isPartialOrder_514 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_1224 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_1224 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_Σ_14
d_'8764''45'resp'45''8776'_1224 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098 -> T_Σ_14
du_'8764''45'resp'45''8776'_1224 T_DecTotalOrder_1098
v3
du_'8764''45'resp'45''8776'_1224 ::
  T_DecTotalOrder_1098 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_1224 :: T_DecTotalOrder_1098 -> T_Σ_14
du_'8764''45'resp'45''8776'_1224 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_124
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_1226 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_1226 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_1226 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1226 T_DecTotalOrder_1098
v3
du_'8764''45'resp'691''45''8776'_1226 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1226 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_1226 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_122
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_1228 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_1228 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_1228 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1228 T_DecTotalOrder_1098
v3
du_'8764''45'resp'737''45''8776'_1228 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1228 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_1228 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_120
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_1230 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_1230 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_Σ_14
d_'8818''45'resp'45''8776'_1230 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098 -> T_Σ_14
du_'8818''45'resp'45''8776'_1230 T_DecTotalOrder_1098
v3
du_'8818''45'resp'45''8776'_1230 ::
  T_DecTotalOrder_1098 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_1230 :: T_DecTotalOrder_1098 -> T_Σ_14
du_'8818''45'resp'45''8776'_1230 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'45''8776'_118
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_1232 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_1232 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_1232 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1232 T_DecTotalOrder_1098
v3
du_'8818''45'resp'691''45''8776'_1232 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1232 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_1232 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'691''45''8776'_112
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_1234 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_1234 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_1234 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1234 T_DecTotalOrder_1098
v3
du_'8818''45'resp'737''45''8776'_1234 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1234 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_1234 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_TotalOrder_986) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_TotalOrder_986
du_totalOrder_1182 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_TotalOrder_986 -> T_Poset_492) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_986 -> T_Poset_492
du_poset_1018 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_Poset_492 -> T_Preorder_142) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_492 -> T_Preorder_142
du_preorder_522 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8818''45'resp'737''45''8776'_106
               ((T_Preorder_142 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_142 -> T_IsPreorder_76
d_isPreorder_164 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder.decPoset
d_decPoset_1236 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_DecPoset_596
d_decPoset_1236 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_DecPoset_596
d_decPoset_1236 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 T_DecTotalOrder_1098
v3
du_decPoset_1236 :: T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 :: T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 T_DecTotalOrder_1098
v0
  = (T_IsDecPartialOrder_300 -> T_DecPoset_596)
-> AgdaAny -> T_DecPoset_596
forall a b. a -> b
coe
      T_IsDecPartialOrder_300 -> T_DecPoset_596
C_constructor_752
      ((T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
MAlonzo.Code.Relation.Binary.Structures.du_isDecPartialOrder_594
         ((T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_IsDecTotalOrder_546
d_isDecTotalOrder_1120 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≈_
d__'8776'__1242 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1242 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1242 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≉_
d__'8777'__1244 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1244 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1244 = () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≟_
d__'8799'__1246 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1246 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1246 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1246 T_DecTotalOrder_1098
v3
du__'8799'__1246 ::
  T_DecTotalOrder_1098 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1246 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1246 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__196
            ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.Carrier
d_Carrier_1248 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> ()
d_Carrier_1248 :: () -> () -> () -> T_DecTotalOrder_1098 -> ()
d_Carrier_1248 = () -> () -> () -> T_DecTotalOrder_1098 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.decSetoid
d_decSetoid_1250 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_DecSetoid_90
d_decSetoid_1250 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_DecSetoid_90
d_decSetoid_1250 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_DecSetoid_90
du_decSetoid_1250 T_DecTotalOrder_1098
v3
du_decSetoid_1250 :: T_DecTotalOrder_1098 -> T_DecSetoid_90
du_decSetoid_1250 :: T_DecTotalOrder_1098 -> T_DecSetoid_90
du_decSetoid_1250 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe ((T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 ((T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isDecEquivalence
d_isDecEquivalence_1252 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_1252 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsDecEquivalence_48
d_isDecEquivalence_1252 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098 -> T_IsDecEquivalence_48
du_isDecEquivalence_1252 T_DecTotalOrder_1098
v3
du_isDecEquivalence_1252 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_1252 :: T_DecTotalOrder_1098 -> T_IsDecEquivalence_48
du_isDecEquivalence_1252 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPreorder_184 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_224
            ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isEquivalence
d_isEquivalence_1254 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1254 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsEquivalence_28
d_isEquivalence_1254 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_IsEquivalence_28
du_isEquivalence_1254 T_DecTotalOrder_1098
v3
du_isEquivalence_1254 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1254 :: T_DecTotalOrder_1098 -> T_IsEquivalence_28
du_isEquivalence_1254 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_86
            ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecPreorder_184 -> T_IsPreorder_76
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_194
               ((T_DecPreorder_342 -> T_IsDecPreorder_184) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_IsDecPreorder_184
d_isDecPreorder_364 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1256 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1256 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1256 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3
  = T_DecTotalOrder_1098 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1256 T_DecTotalOrder_1098
v3
du_isPartialEquivalence_1256 ::
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1256 :: T_DecTotalOrder_1098 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1256 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                  ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.partialSetoid
d_partialSetoid_1258 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_PartialSetoid_10
d_partialSetoid_1258 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_PartialSetoid_10
d_partialSetoid_1258 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_PartialSetoid_10
du_partialSetoid_1258 T_DecTotalOrder_1098
v3
du_partialSetoid_1258 :: T_DecTotalOrder_1098 -> T_PartialSetoid_10
du_partialSetoid_1258 :: T_DecTotalOrder_1098 -> T_PartialSetoid_10
du_partialSetoid_1258 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.rawSetoid
d_rawSetoid_1260 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1260 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_RawSetoid_12
d_rawSetoid_1260 = () -> () -> () -> T_DecTotalOrder_1098 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.refl
d_refl_1262 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
d_refl_1262 :: () -> () -> () -> T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
d_refl_1262 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
du_refl_1262 T_DecTotalOrder_1098
v3
du_refl_1262 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
du_refl_1262 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny
du_refl_1262 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
               ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
                  ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.reflexive
d_reflexive_1264 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1264 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1264 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1264 T_DecTotalOrder_1098
v3
du_reflexive_1264 ::
  T_DecTotalOrder_1098 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1264 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1264 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                    ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)) AgdaAny
v5))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.setoid
d_setoid_1266 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> T_Setoid_46
d_setoid_1266 :: () -> () -> () -> T_DecTotalOrder_1098 -> T_Setoid_46
d_setoid_1266 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> T_Setoid_46
du_setoid_1266 T_DecTotalOrder_1098
v3
du_setoid_1266 :: T_DecTotalOrder_1098 -> T_Setoid_46
du_setoid_1266 :: T_DecTotalOrder_1098 -> T_Setoid_46
du_setoid_1266 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 ((T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.sym
d_sym_1268 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1268 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1268 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1268 T_DecTotalOrder_1098
v3
du_sym_1268 ::
  T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1268 :: T_DecTotalOrder_1098 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1268 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                  ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.trans
d_trans_1270 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1270 :: ()
-> ()
-> ()
-> T_DecTotalOrder_1098
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1270 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_1098
v3 = T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1270 T_DecTotalOrder_1098
v3
du_trans_1270 ::
  T_DecTotalOrder_1098 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1270 :: T_DecTotalOrder_1098
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1270 T_DecTotalOrder_1098
v0
  = let v1 :: AgdaAny
v1 = (T_DecTotalOrder_1098 -> T_DecPoset_596) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098 -> T_DecPoset_596
du_decPoset_1236 (T_DecTotalOrder_1098 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_1098
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecPoset_596 -> T_DecPreorder_342) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_596 -> T_DecPreorder_342
du_decPreorder_716 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecPreorder_342 -> T_DecSetoid_90) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPreorder_342 -> T_DecSetoid_90
du_decSetoid_452 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
                  ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Bundles.StrictTotalOrder
d_StrictTotalOrder_1280 :: p -> p -> p -> ()
d_StrictTotalOrder_1280 p
a0 p
a1 p
a2 = ()
newtype T_StrictTotalOrder_1280
  = C_constructor_1386 MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_624
-- Relation.Binary.Bundles.StrictTotalOrder.Carrier
d_Carrier_1296 :: T_StrictTotalOrder_1280 -> ()
d_Carrier_1296 :: T_StrictTotalOrder_1280 -> ()
d_Carrier_1296 = T_StrictTotalOrder_1280 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._≈_
d__'8776'__1298 ::
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1298 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1298 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._<_
d__'60'__1300 ::
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'60'__1300 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'60'__1300 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder.isStrictTotalOrder
d_isStrictTotalOrder_1302 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 :: T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 T_StrictTotalOrder_1280
v0
  = case T_StrictTotalOrder_1280 -> T_StrictTotalOrder_1280
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0 of
      C_constructor_1386 T_IsStrictTotalOrder_624
v4 -> T_IsStrictTotalOrder_624 -> T_IsStrictTotalOrder_624
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v4
      T_StrictTotalOrder_1280
_ -> T_IsStrictTotalOrder_624
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.StrictTotalOrder._._<?_
d__'60''63'__1306 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__1306 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__1306 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1306 T_StrictTotalOrder_1280
v3
du__'60''63'__1306 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__1306 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1306 T_StrictTotalOrder_1280
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'60''63'__654
      ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._._≟_
d__'8799'__1308 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1308 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1308 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1308 T_StrictTotalOrder_1280
v3
du__'8799'__1308 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1308 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1308 T_StrictTotalOrder_1280
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'8799'__652
      ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.compare
d_compare_1310 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_1310 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_1310 T_StrictTotalOrder_1280
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158
MAlonzo.Code.Relation.Binary.Structures.d_compare_634
      ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isDecEquivalence
d_isDecEquivalence_1312 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_1312 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_IsDecEquivalence_48
d_isDecEquivalence_1312 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_IsDecEquivalence_48
du_isDecEquivalence_1312 T_StrictTotalOrder_1280
v3
du_isDecEquivalence_1312 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_1312 :: T_StrictTotalOrder_1280 -> T_IsDecEquivalence_48
du_isDecEquivalence_1312 T_StrictTotalOrder_1280
v0
  = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_678
      ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_1314 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_1314 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_1314 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_1314 T_StrictTotalOrder_1280
v3
du_isDecStrictPartialOrder_1314 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_1314 :: T_StrictTotalOrder_1280 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_1314 T_StrictTotalOrder_1280
v0
  = (T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_656
      ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isStrictPartialOrder
d_isStrictPartialOrder_1316 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_370
d_isStrictPartialOrder_1316 :: T_StrictTotalOrder_1280 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_1316 T_StrictTotalOrder_1280
v0
  = (T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
      ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder.strictPartialOrder
d_strictPartialOrder_1318 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
d_strictPartialOrder_1318 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
d_strictPartialOrder_1318 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 T_StrictTotalOrder_1280
v3
du_strictPartialOrder_1318 ::
  T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 :: T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 T_StrictTotalOrder_1280
v0
  = (T_IsStrictPartialOrder_370 -> T_StrictPartialOrder_760)
-> T_IsStrictPartialOrder_370 -> T_StrictPartialOrder_760
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_StrictPartialOrder_760
C_constructor_842
      (T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> T_IsStrictTotalOrder_624
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._._∼ᵒ_
d__'8764''7506'__1322 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1322 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1322 = ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._._≉_
d__'8777'__1324 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1324 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1324 = ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._._≁_
d__'8769'__1326 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1326 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1326 = ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._._≁ᵒ_
d__'8769''7506'__1328 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1328 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1328 = ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.<-resp-≈
d_'60''45'resp'45''8776'_1330 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_1330 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_Σ_14
d_'60''45'resp'45''8776'_1330 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_Σ_14
du_'60''45'resp'45''8776'_1330 T_StrictTotalOrder_1280
v3
du_'60''45'resp'45''8776'_1330 ::
  T_StrictTotalOrder_1280 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_1330 :: T_StrictTotalOrder_1280 -> T_Σ_14
du_'60''45'resp'45''8776'_1330 T_StrictTotalOrder_1280
v0
  = (T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_388
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_1332 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_1332 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_1332 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1332 T_StrictTotalOrder_1280
v3
du_'60''45'resp'691''45''8776'_1332 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1332 :: T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1332 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_408
         ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_1334 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_1334 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_1334 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1334 T_StrictTotalOrder_1280
v3
du_'60''45'resp'737''45''8776'_1334 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1334 :: T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1334 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_410
         ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.asym
d_asym_1336 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_1336 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_1336 = ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.irrefl
d_irrefl_1338 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_1338 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl_1338 = ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.isEquivalence
d_isEquivalence_1340 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1340 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_IsEquivalence_28
d_isEquivalence_1340 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> T_IsEquivalence_28
du_isEquivalence_1340 T_StrictTotalOrder_1280
v3
du_isEquivalence_1340 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1340 :: T_StrictTotalOrder_1280 -> T_IsEquivalence_28
du_isEquivalence_1340 T_StrictTotalOrder_1280
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.rawRelation
d_rawRelation_1342 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_1342 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_RawRelation_40
d_rawRelation_1342 = () -> () -> () -> T_StrictTotalOrder_1280 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.rawSetoid
d_rawSetoid_1344 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1344 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_RawSetoid_12
d_rawSetoid_1344 = () -> () -> () -> T_StrictTotalOrder_1280 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.trans
d_trans_1346 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1346 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1346 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1346 T_StrictTotalOrder_1280
v3
du_trans_1346 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1346 :: T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1346 T_StrictTotalOrder_1280
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_386
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder.decStrictPartialOrder
d_decStrictPartialOrder_1348 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
d_decStrictPartialOrder_1348 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> T_DecStrictPartialOrder_850
d_decStrictPartialOrder_1348 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 T_StrictTotalOrder_1280
v3
du_decStrictPartialOrder_1348 ::
  T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 :: T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 T_StrictTotalOrder_1280
v0
  = (T_IsDecStrictPartialOrder_418 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> T_DecStrictPartialOrder_850
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_418 -> T_DecStrictPartialOrder_850
C_constructor_978
      ((T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_656
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≈_
d__'8776'__1354 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1354 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1354 = ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≉_
d__'8777'__1356 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1356 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1356 = ()
-> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≟_
d__'8799'__1358 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1358 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1358 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1358 T_StrictTotalOrder_1280
v3
du__'8799'__1358 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1358 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1358 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__430
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.Carrier
d_Carrier_1360 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> ()
d_Carrier_1360 :: () -> () -> () -> T_StrictTotalOrder_1280 -> ()
d_Carrier_1360 = () -> () -> () -> T_StrictTotalOrder_1280 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.decSetoid
d_decSetoid_1362 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> T_DecSetoid_90
d_decSetoid_1362 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_DecSetoid_90
d_decSetoid_1362 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1362 T_StrictTotalOrder_1280
v3
du_decSetoid_1362 :: T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1362 :: T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1362 T_StrictTotalOrder_1280
v0
  = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 ((T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isDecEquivalence
d_isDecEquivalence_1364 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_1364 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_IsDecEquivalence_48
d_isDecEquivalence_1364 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_IsDecEquivalence_48
du_isDecEquivalence_1364 T_StrictTotalOrder_1280
v3
du_isDecEquivalence_1364 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_1364 :: T_StrictTotalOrder_1280 -> T_IsDecEquivalence_48
du_isDecEquivalence_1364 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      ((T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_464
         ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isEquivalence
d_isEquivalence_1366 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1366 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_IsEquivalence_28
d_isEquivalence_1366 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> T_IsEquivalence_28
du_isEquivalence_1366 T_StrictTotalOrder_1280
v3
du_isEquivalence_1366 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1366 :: T_StrictTotalOrder_1280 -> T_IsEquivalence_28
du_isEquivalence_1366 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
         ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
            ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1368 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1368 :: ()
-> () -> () -> T_StrictTotalOrder_1280 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1368 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3
  = T_StrictTotalOrder_1280 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1368 T_StrictTotalOrder_1280
v3
du_isPartialEquivalence_1368 ::
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1368 :: T_StrictTotalOrder_1280 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1368 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.partialSetoid
d_partialSetoid_1370 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> T_PartialSetoid_10
d_partialSetoid_1370 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_PartialSetoid_10
d_partialSetoid_1370 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> T_PartialSetoid_10
du_partialSetoid_1370 T_StrictTotalOrder_1280
v3
du_partialSetoid_1370 ::
  T_StrictTotalOrder_1280 -> T_PartialSetoid_10
du_partialSetoid_1370 :: T_StrictTotalOrder_1280 -> T_PartialSetoid_10
du_partialSetoid_1370 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.rawSetoid
d_rawSetoid_1372 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1372 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_RawSetoid_12
d_rawSetoid_1372 = () -> () -> () -> T_StrictTotalOrder_1280 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.refl
d_refl_1374 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny
d_refl_1374 :: () -> () -> () -> T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny
d_refl_1374 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny
du_refl_1374 T_StrictTotalOrder_1280
v3
du_refl_1374 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny
du_refl_1374 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny
du_refl_1374 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
            ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
               ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.reflexive
d_reflexive_1376 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1376 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1376 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1376 T_StrictTotalOrder_1280
v3
du_reflexive_1376 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1376 :: T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1376 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                 ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.setoid
d_setoid_1378 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> T_Setoid_46
d_setoid_1378 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_Setoid_46
d_setoid_1378 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> T_Setoid_46
du_setoid_1378 T_StrictTotalOrder_1280
v3
du_setoid_1378 :: T_StrictTotalOrder_1280 -> T_Setoid_46
du_setoid_1378 :: T_StrictTotalOrder_1280 -> T_Setoid_46
du_setoid_1378 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 ((T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.sym
d_sym_1380 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1380 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1380 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1380 T_StrictTotalOrder_1280
v3
du_sym_1380 ::
  T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1380 :: T_StrictTotalOrder_1280 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1380 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.trans
d_trans_1382 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1382 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_1280
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1382 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1382 T_StrictTotalOrder_1280
v3
du_trans_1382 ::
  T_StrictTotalOrder_1280 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1382 :: T_StrictTotalOrder_1280
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1382 T_StrictTotalOrder_1280
v0
  = let v1 :: AgdaAny
v1 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
               ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.StrictTotalOrder.decSetoid
d_decSetoid_1384 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_1280 -> T_DecSetoid_90
d_decSetoid_1384 :: () -> () -> () -> T_StrictTotalOrder_1280 -> T_DecSetoid_90
d_decSetoid_1384 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_1280
v3 = T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1384 T_StrictTotalOrder_1280
v3
du_decSetoid_1384 :: T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1384 :: T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1384 T_StrictTotalOrder_1280
v0
  = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 ((T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (T_StrictTotalOrder_1280 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280
v0))
-- Relation.Binary.Bundles.DenseLinearOrder
d_DenseLinearOrder_1394 :: p -> p -> p -> ()
d_DenseLinearOrder_1394 p
a0 p
a1 p
a2 = ()
newtype T_DenseLinearOrder_1394
  = C_constructor_1504 MAlonzo.Code.Relation.Binary.Structures.T_IsDenseLinearOrder_686
-- Relation.Binary.Bundles.DenseLinearOrder.Carrier
d_Carrier_1410 :: T_DenseLinearOrder_1394 -> ()
d_Carrier_1410 :: T_DenseLinearOrder_1394 -> ()
d_Carrier_1410 = T_DenseLinearOrder_1394 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._≈_
d__'8776'__1412 ::
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1412 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1412 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._<_
d__'60'__1414 ::
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'60'__1414 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'60'__1414 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder.isDenseLinearOrder
d_isDenseLinearOrder_1416 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 :: T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 T_DenseLinearOrder_1394
v0
  = case T_DenseLinearOrder_1394 -> T_DenseLinearOrder_1394
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0 of
      C_constructor_1504 T_IsDenseLinearOrder_686
v4 -> T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v4
      T_DenseLinearOrder_1394
_ -> T_IsDenseLinearOrder_686
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DenseLinearOrder._.dense
d_dense_1420 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_dense_1420 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
d_dense_1420 T_DenseLinearOrder_1394
v0
  = (T_IsDenseLinearOrder_686
 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_dense_696
      ((T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.isStrictTotalOrder
d_isStrictTotalOrder_1422 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1422 :: T_DenseLinearOrder_1394 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1422 T_DenseLinearOrder_1394
v0
  = (T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> T_IsStrictTotalOrder_624
forall a b. a -> b
coe
      T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_694
      ((T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0))
-- Relation.Binary.Bundles.DenseLinearOrder.strictTotalOrder
d_strictTotalOrder_1424 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
d_strictTotalOrder_1424 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
d_strictTotalOrder_1424 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 T_DenseLinearOrder_1394
v3
du_strictTotalOrder_1424 ::
  T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 :: T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 T_DenseLinearOrder_1394
v0
  = (T_IsStrictTotalOrder_624 -> T_StrictTotalOrder_1280)
-> T_IsStrictTotalOrder_624 -> T_StrictTotalOrder_1280
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_StrictTotalOrder_1280
C_constructor_1386
      (T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_694
         ((T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686)
-> AgdaAny -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0)))
-- Relation.Binary.Bundles.DenseLinearOrder._._<?_
d__'60''63'__1428 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__1428 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__1428 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1428 T_DenseLinearOrder_1394
v3
du__'60''63'__1428 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__1428 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__1428 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'60''63'__654
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._._∼ᵒ_
d__'8764''7506'__1430 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1430 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1430 = ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._._≉_
d__'8777'__1432 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1432 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1432 = ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._._≟_
d__'8799'__1434 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1434 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1434 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1434 T_DenseLinearOrder_1394
v3
du__'8799'__1434 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1434 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1434 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.du__'8799'__652
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._._≁_
d__'8769'__1436 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1436 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1436 = ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._._≁ᵒ_
d__'8769''7506'__1438 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1438 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1438 = ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.<-resp-≈
d_'60''45'resp'45''8776'_1440 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_1440 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_Σ_14
d_'60''45'resp'45''8776'_1440 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_Σ_14
du_'60''45'resp'45''8776'_1440 T_DenseLinearOrder_1394
v3
du_'60''45'resp'45''8776'_1440 ::
  T_DenseLinearOrder_1394 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_1440 :: T_DenseLinearOrder_1394 -> T_Σ_14
du_'60''45'resp'45''8776'_1440 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_388
         ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
            ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DenseLinearOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_1442 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_1442 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_1442 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1442 T_DenseLinearOrder_1394
v3
du_'60''45'resp'691''45''8776'_1442 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1442 :: T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_1442 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_408
            ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_1444 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_1444 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_1444 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1444 T_DenseLinearOrder_1394
v3
du_'60''45'resp'737''45''8776'_1444 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1444 :: T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_1444 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_410
            ((T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_760 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_782 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.asym
d_asym_1446 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_1446 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_1446 = ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.compare
d_compare_1448 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_1448 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> T_Tri_158
d_compare_1448 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Tri_158
du_compare_1448 T_DenseLinearOrder_1394
v3
du_compare_1448 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
du_compare_1448 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Tri_158
du_compare_1448 T_DenseLinearOrder_1394
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158
MAlonzo.Code.Relation.Binary.Structures.d_compare_634
      ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_694
         ((T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0)))
-- Relation.Binary.Bundles.DenseLinearOrder._.decSetoid
d_decSetoid_1450 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_DecSetoid_90
d_decSetoid_1450 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_DecSetoid_90
d_decSetoid_1450 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> T_DecSetoid_90
du_decSetoid_1450 T_DenseLinearOrder_1394
v3
du_decSetoid_1450 :: T_DenseLinearOrder_1394 -> T_DecSetoid_90
du_decSetoid_1450 :: T_DenseLinearOrder_1394 -> T_DecSetoid_90
du_decSetoid_1450 T_DenseLinearOrder_1394
v0
  = (T_StrictTotalOrder_1280 -> T_DecSetoid_90)
-> AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecSetoid_90
du_decSetoid_1384 ((T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.decStrictPartialOrder
d_decStrictPartialOrder_1452 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_DecStrictPartialOrder_850
d_decStrictPartialOrder_1452 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> T_DecStrictPartialOrder_850
d_decStrictPartialOrder_1452 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1452 T_DenseLinearOrder_1394
v3
du_decStrictPartialOrder_1452 ::
  T_DenseLinearOrder_1394 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1452 :: T_DenseLinearOrder_1394 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1452 T_DenseLinearOrder_1394
v0
  = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> T_DecStrictPartialOrder_850
forall a b. a -> b
coe
      T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348
      ((T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.irrefl
d_irrefl_1454 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_1454 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_irrefl_1454 = ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.isDecEquivalence
d_isDecEquivalence_1456 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_1456 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_IsDecEquivalence_48
d_isDecEquivalence_1456 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_IsDecEquivalence_48
du_isDecEquivalence_1456 T_DenseLinearOrder_1394
v3
du_isDecEquivalence_1456 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_1456 :: T_DenseLinearOrder_1394 -> T_IsDecEquivalence_48
du_isDecEquivalence_1456 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_678
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_1458 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_1458 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_1458 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_1458 T_DenseLinearOrder_1394
v3
du_isDecStrictPartialOrder_1458 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_1458 :: T_DenseLinearOrder_1394 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_1458 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe
      ((T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_656
         ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._.isEquivalence
d_isEquivalence_1460 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1460 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_IsEquivalence_28
d_isEquivalence_1460 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> T_IsEquivalence_28
du_isEquivalence_1460 T_DenseLinearOrder_1394
v3
du_isEquivalence_1460 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1460 :: T_DenseLinearOrder_1394 -> T_IsEquivalence_28
du_isEquivalence_1460 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
         ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
            ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DenseLinearOrder._.isStrictPartialOrder
d_isStrictPartialOrder_1462 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_370
d_isStrictPartialOrder_1462 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_1462 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_IsStrictPartialOrder_370
du_isStrictPartialOrder_1462 T_DenseLinearOrder_1394
v3
du_isStrictPartialOrder_1462 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_370
du_isStrictPartialOrder_1462 :: T_DenseLinearOrder_1394 -> T_IsStrictPartialOrder_370
du_isStrictPartialOrder_1462 T_DenseLinearOrder_1394
v0
  = (T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
      ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
MAlonzo.Code.Relation.Binary.Structures.d_isStrictTotalOrder_694
         ((T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_IsDenseLinearOrder_686
d_isDenseLinearOrder_1416 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0)))
-- Relation.Binary.Bundles.DenseLinearOrder._.rawRelation
d_rawRelation_1464 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_1464 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_RawRelation_40
d_rawRelation_1464 = () -> () -> () -> T_DenseLinearOrder_1394 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.rawSetoid
d_rawSetoid_1466 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1466 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_RawSetoid_12
d_rawSetoid_1466 = () -> () -> () -> T_DenseLinearOrder_1394 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.strictPartialOrder
d_strictPartialOrder_1468 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_StrictPartialOrder_760
d_strictPartialOrder_1468 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> T_StrictPartialOrder_760
d_strictPartialOrder_1468 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_StrictPartialOrder_760
du_strictPartialOrder_1468 T_DenseLinearOrder_1394
v3
du_strictPartialOrder_1468 ::
  T_DenseLinearOrder_1394 -> T_StrictPartialOrder_760
du_strictPartialOrder_1468 :: T_DenseLinearOrder_1394 -> T_StrictPartialOrder_760
du_strictPartialOrder_1468 T_DenseLinearOrder_1394
v0
  = (T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760)
-> AgdaAny -> T_StrictPartialOrder_760
forall a b. a -> b
coe
      T_StrictTotalOrder_1280 -> T_StrictPartialOrder_760
du_strictPartialOrder_1318 ((T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0))
-- Relation.Binary.Bundles.DenseLinearOrder._.trans
d_trans_1470 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1470 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1470 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1470 T_DenseLinearOrder_1394
v3
du_trans_1470 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1470 :: T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1470 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_386
         ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_632
            ((T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_1302 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq._≈_
d__'8776'__1474 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1474 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1474 = ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq._≉_
d__'8777'__1476 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1476 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1476 = ()
-> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq._≟_
d__'8799'__1478 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__1478 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__1478 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1478 T_DenseLinearOrder_1394
v3
du__'8799'__1478 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__1478 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__1478 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__430
            ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.Carrier
d_Carrier_1480 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> ()
d_Carrier_1480 :: () -> () -> () -> T_DenseLinearOrder_1394 -> ()
d_Carrier_1480 = () -> () -> () -> T_DenseLinearOrder_1394 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.decSetoid
d_decSetoid_1482 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_DecSetoid_90
d_decSetoid_1482 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_DecSetoid_90
d_decSetoid_1482 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> T_DecSetoid_90
du_decSetoid_1482 T_DenseLinearOrder_1394
v3
du_decSetoid_1482 :: T_DenseLinearOrder_1394 -> T_DecSetoid_90
du_decSetoid_1482 :: T_DenseLinearOrder_1394 -> T_DecSetoid_90
du_decSetoid_1482 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_DecSetoid_90
forall a b. a -> b
coe
      ((T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 ((T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.isDecEquivalence
d_isDecEquivalence_1484 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
d_isDecEquivalence_1484 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_IsDecEquivalence_48
d_isDecEquivalence_1484 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_IsDecEquivalence_48
du_isDecEquivalence_1484 T_DenseLinearOrder_1394
v3
du_isDecEquivalence_1484 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_48
du_isDecEquivalence_1484 :: T_DenseLinearOrder_1394 -> T_IsDecEquivalence_48
du_isDecEquivalence_1484 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_464
            ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.isEquivalence
d_isEquivalence_1486 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
d_isEquivalence_1486 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_IsEquivalence_28
d_isEquivalence_1486 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> T_IsEquivalence_28
du_isEquivalence_1486 T_DenseLinearOrder_1394
v3
du_isEquivalence_1486 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_28
du_isEquivalence_1486 :: T_DenseLinearOrder_1394 -> T_IsEquivalence_28
du_isEquivalence_1486 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_382
            ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_428
               ((T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_872 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_1488 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_1488 :: ()
-> () -> () -> T_DenseLinearOrder_1394 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_1488 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3
  = T_DenseLinearOrder_1394 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1488 T_DenseLinearOrder_1394
v3
du_isPartialEquivalence_1488 ::
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_1488 :: T_DenseLinearOrder_1394 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_1488 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_44
                  ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.partialSetoid
d_partialSetoid_1490 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_PartialSetoid_10
d_partialSetoid_1490 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_PartialSetoid_10
d_partialSetoid_1490 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> T_PartialSetoid_10
du_partialSetoid_1490 T_DenseLinearOrder_1394
v3
du_partialSetoid_1490 ::
  T_DenseLinearOrder_1394 -> T_PartialSetoid_10
du_partialSetoid_1490 :: T_DenseLinearOrder_1394 -> T_PartialSetoid_10
du_partialSetoid_1490 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_46 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_PartialSetoid_10
du_partialSetoid_72 ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.rawSetoid
d_rawSetoid_1492 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1492 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_RawSetoid_12
d_rawSetoid_1492 = () -> () -> () -> T_DenseLinearOrder_1394 -> T_RawSetoid_12
forall a. a
erased
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.refl
d_refl_1494 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny
d_refl_1494 :: () -> () -> () -> T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny
d_refl_1494 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny
du_refl_1494 T_DenseLinearOrder_1394
v3
du_refl_1494 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny
du_refl_1494 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny
du_refl_1494 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_36
               ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecEquivalence_48 -> T_IsEquivalence_28
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_54
                  ((T_DecSetoid_90 -> T_IsDecEquivalence_48) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_IsDecEquivalence_48
d_isDecEquivalence_106 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3))))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.reflexive
d_reflexive_1496 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_1496 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_1496 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1496 T_DenseLinearOrder_1394
v3
du_reflexive_1496 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_1496 :: T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_1496 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
               (\ AgdaAny
v5 AgdaAny
v6 AgdaAny
v7 ->
                  (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsEquivalence_28 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_42
                    ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4)) AgdaAny
v5))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.setoid
d_setoid_1498 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> T_Setoid_46
d_setoid_1498 :: () -> () -> () -> T_DenseLinearOrder_1394 -> T_Setoid_46
d_setoid_1498 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> T_Setoid_46
du_setoid_1498 T_DenseLinearOrder_1394
v3
du_setoid_1498 :: T_DenseLinearOrder_1394 -> T_Setoid_46
du_setoid_1498 :: T_DenseLinearOrder_1394 -> T_Setoid_46
du_setoid_1498 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> T_Setoid_46
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 ((T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.sym
d_sym_1500 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1500 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_1500 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1500 T_DenseLinearOrder_1394
v3
du_sym_1500 ::
  T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1500 :: T_DenseLinearOrder_1394 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_1500 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_38
                  ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Bundles.DenseLinearOrder._.Eq.trans
d_trans_1502 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_1502 :: ()
-> ()
-> ()
-> T_DenseLinearOrder_1394
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_1502 ~()
v0 ~()
v1 ~()
v2 T_DenseLinearOrder_1394
v3 = T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1502 T_DenseLinearOrder_1394
v3
du_trans_1502 ::
  T_DenseLinearOrder_1394 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1502 :: T_DenseLinearOrder_1394
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_1502 T_DenseLinearOrder_1394
v0
  = let v1 :: AgdaAny
v1 = (T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394 -> T_StrictTotalOrder_1280
du_strictTotalOrder_1424 (T_DenseLinearOrder_1394 -> AgdaAny
forall a b. a -> b
coe T_DenseLinearOrder_1394
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_1280 -> T_DecStrictPartialOrder_850
du_decStrictPartialOrder_1348 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_DecStrictPartialOrder_850 -> T_DecSetoid_90)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_850 -> T_DecSetoid_90
du_decSetoid_946 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            (let v4 :: AgdaAny
v4 = (T_DecSetoid_90 -> T_Setoid_46) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_90 -> T_Setoid_46
du_setoid_114 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3) in
             AgdaAny -> AgdaAny
forall a b. a -> b
coe
               ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_40
                  ((T_Setoid_46 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_46 -> T_IsEquivalence_28
d_isEquivalence_62 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v4))))))
-- Relation.Binary.Bundles.ApartnessRelation
d_ApartnessRelation_1512 :: p -> p -> p -> ()
d_ApartnessRelation_1512 p
a0 p
a1 p
a2 = ()
newtype T_ApartnessRelation_1512
  = C_constructor_1558 MAlonzo.Code.Relation.Binary.Structures.T_IsApartnessRelation_750
-- Relation.Binary.Bundles.ApartnessRelation.Carrier
d_Carrier_1528 :: T_ApartnessRelation_1512 -> ()
d_Carrier_1528 :: T_ApartnessRelation_1512 -> ()
d_Carrier_1528 = T_ApartnessRelation_1512 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._≈_
d__'8776'__1530 ::
  T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1530 :: T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8776'__1530 = T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._#_
d__'35'__1532 ::
  T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'35'__1532 :: T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'35'__1532 = T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation.isApartnessRelation
d_isApartnessRelation_1534 ::
  T_ApartnessRelation_1512 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsApartnessRelation_750
d_isApartnessRelation_1534 :: T_ApartnessRelation_1512 -> T_IsApartnessRelation_750
d_isApartnessRelation_1534 T_ApartnessRelation_1512
v0
  = case T_ApartnessRelation_1512 -> T_ApartnessRelation_1512
forall a b. a -> b
coe T_ApartnessRelation_1512
v0 of
      C_constructor_1558 T_IsApartnessRelation_750
v4 -> T_IsApartnessRelation_750 -> T_IsApartnessRelation_750
forall a b. a -> b
coe T_IsApartnessRelation_750
v4
      T_ApartnessRelation_1512
_ -> T_IsApartnessRelation_750
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.ApartnessRelation._.cotrans
d_cotrans_1538 ::
  T_ApartnessRelation_1512 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_cotrans_1538 :: T_ApartnessRelation_1512
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
d_cotrans_1538 T_ApartnessRelation_1512
v0
  = (T_IsApartnessRelation_750
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T__'8846'__30
forall a b. a -> b
coe
      T_IsApartnessRelation_750
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_cotrans_764
      ((T_ApartnessRelation_1512 -> T_IsApartnessRelation_750)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1512 -> T_IsApartnessRelation_750
d_isApartnessRelation_1534 (T_ApartnessRelation_1512 -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1512
v0))
-- Relation.Binary.Bundles.ApartnessRelation._.irrefl
d_irrefl_1540 ::
  T_ApartnessRelation_1512 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_1540 :: T_ApartnessRelation_1512
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_1540 = T_ApartnessRelation_1512
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._.sym
d_sym_1542 ::
  T_ApartnessRelation_1512 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1542 :: T_ApartnessRelation_1512
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_1542 T_ApartnessRelation_1512
v0
  = (T_IsApartnessRelation_750
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsApartnessRelation_750
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_762
      ((T_ApartnessRelation_1512 -> T_IsApartnessRelation_750)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1512 -> T_IsApartnessRelation_750
d_isApartnessRelation_1534 (T_ApartnessRelation_1512 -> AgdaAny
forall a b. a -> b
coe T_ApartnessRelation_1512
v0))
-- Relation.Binary.Bundles.ApartnessRelation.rawRelation
d_rawRelation_1544 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1512 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawRelation_40
d_rawRelation_1544 :: () -> () -> () -> T_ApartnessRelation_1512 -> T_RawRelation_40
d_rawRelation_1544 = () -> () -> () -> T_ApartnessRelation_1512 -> T_RawRelation_40
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._._∼ᵒ_
d__'8764''7506'__1548 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1548 :: ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8764''7506'__1548 = ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._._≁_
d__'8769'__1550 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1550 :: ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8769'__1550 = ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._._≁ᵒ_
d__'8769''7506'__1552 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1552 :: ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8769''7506'__1552 = ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._._≉_
d__'8777'__1554 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1554 :: ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
d__'8777'__1554 = ()
-> () -> () -> T_ApartnessRelation_1512 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.ApartnessRelation._.rawSetoid
d_rawSetoid_1556 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_ApartnessRelation_1512 ->
  MAlonzo.Code.Relation.Binary.Bundles.Raw.T_RawSetoid_12
d_rawSetoid_1556 :: () -> () -> () -> T_ApartnessRelation_1512 -> T_RawSetoid_12
d_rawSetoid_1556 = () -> () -> () -> T_ApartnessRelation_1512 -> T_RawSetoid_12
forall a. a
erased