{-# 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.Empty
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Relation.Binary.Consequences
import qualified MAlonzo.Code.Relation.Binary.Definitions
import qualified MAlonzo.Code.Relation.Binary.Structures
import qualified MAlonzo.Code.Relation.Nullary

-- Relation.Binary.Bundles.PartialSetoid
d_PartialSetoid_10 :: p -> p -> ()
d_PartialSetoid_10 p
a0 p
a1 = ()
newtype T_PartialSetoid_10
  = C_PartialSetoid'46'constructor_133 MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
-- Relation.Binary.Bundles.PartialSetoid.Carrier
d_Carrier_22 :: T_PartialSetoid_10 -> ()
d_Carrier_22 :: T_PartialSetoid_10 -> ()
d_Carrier_22 = T_PartialSetoid_10 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.PartialSetoid._≈_
d__'8776'__24 :: T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8776'__24 :: T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8776'__24 = T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.PartialSetoid.isPartialEquivalence
d_isPartialEquivalence_26 ::
  T_PartialSetoid_10 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_26 :: T_PartialSetoid_10 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_26 T_PartialSetoid_10
v0
  = case T_PartialSetoid_10 -> T_PartialSetoid_10
forall a b. a -> b
coe T_PartialSetoid_10
v0 of
      C_PartialSetoid'46'constructor_133 T_IsPartialEquivalence_16
v3 -> T_IsPartialEquivalence_16 -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsPartialEquivalence_16
v3
      T_PartialSetoid_10
_ -> T_IsPartialEquivalence_16
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.PartialSetoid._.sym
d_sym_30 ::
  T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_30 :: T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_30 T_PartialSetoid_10
v0
  = (T_IsPartialEquivalence_16
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialEquivalence_16
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_22
      ((T_PartialSetoid_10 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_26 (T_PartialSetoid_10 -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10
v0))
-- Relation.Binary.Bundles.PartialSetoid._.trans
d_trans_32 ::
  T_PartialSetoid_10 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_32 :: T_PartialSetoid_10
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_32 T_PartialSetoid_10
v0
  = (T_IsPartialEquivalence_16
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPartialEquivalence_16
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_24
      ((T_PartialSetoid_10 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_26 (T_PartialSetoid_10 -> AgdaAny
forall a b. a -> b
coe T_PartialSetoid_10
v0))
-- Relation.Binary.Bundles.PartialSetoid._≉_
d__'8777'__34 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8777'__34 :: () -> () -> T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
d__'8777'__34 = () -> () -> T_PartialSetoid_10 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid
d_Setoid_44 :: p -> p -> ()
d_Setoid_44 p
a0 p
a1 = ()
newtype T_Setoid_44
  = C_Setoid'46'constructor_727 MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
-- Relation.Binary.Bundles.Setoid.Carrier
d_Carrier_56 :: T_Setoid_44 -> ()
d_Carrier_56 :: T_Setoid_44 -> ()
d_Carrier_56 = T_Setoid_44 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid._≈_
d__'8776'__58 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8776'__58 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8776'__58 = T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Setoid.isEquivalence
d_isEquivalence_60 ::
  T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_60 :: T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 T_Setoid_44
v0
  = case T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44
v0 of
      C_Setoid'46'constructor_727 T_IsEquivalence_26
v3 -> T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v3
      T_Setoid_44
_ -> T_IsEquivalence_26
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Setoid._.isPartialEquivalence
d_isPartialEquivalence_64 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_64 :: () -> () -> T_Setoid_44 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_64 ~()
v0 ~()
v1 T_Setoid_44
v2
  = T_Setoid_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_64 T_Setoid_44
v2
du_isPartialEquivalence_64 ::
  T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_64 :: T_Setoid_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_64 T_Setoid_44
v0
  = (T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid._.refl
d_refl_66 :: T_Setoid_44 -> AgdaAny -> AgdaAny
d_refl_66 :: T_Setoid_44 -> AgdaAny -> AgdaAny
d_refl_66 T_Setoid_44
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid._.reflexive
d_reflexive_68 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_68 :: ()
-> ()
-> T_Setoid_44
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_68 ~()
v0 ~()
v1 T_Setoid_44
v2 = T_Setoid_44 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_68 T_Setoid_44
v2
du_reflexive_68 ::
  T_Setoid_44 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_68 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_68 T_Setoid_44
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)) AgdaAny
v1
-- Relation.Binary.Bundles.Setoid._.sym
d_sym_70 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_70 :: T_Setoid_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_70 T_Setoid_44
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid._.trans
d_trans_72 ::
  T_Setoid_44 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_72 :: T_Setoid_44
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_72 T_Setoid_44
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
-- Relation.Binary.Bundles.Setoid.partialSetoid
d_partialSetoid_74 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 -> T_PartialSetoid_10
d_partialSetoid_74 :: () -> () -> T_Setoid_44 -> T_PartialSetoid_10
d_partialSetoid_74 ~()
v0 ~()
v1 T_Setoid_44
v2 = T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 T_Setoid_44
v2
du_partialSetoid_74 :: T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 :: T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 T_Setoid_44
v0
  = (T_IsPartialEquivalence_16 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      T_IsPartialEquivalence_16 -> T_PartialSetoid_10
C_PartialSetoid'46'constructor_133
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0)))
-- Relation.Binary.Bundles.Setoid._._≉_
d__'8777'__78 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8777'__78 :: () -> () -> T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
d__'8777'__78 = () -> () -> T_Setoid_44 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid
d_DecSetoid_84 :: p -> p -> ()
d_DecSetoid_84 p
a0 p
a1 = ()
newtype T_DecSetoid_84
  = C_DecSetoid'46'constructor_1385 MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
-- Relation.Binary.Bundles.DecSetoid.Carrier
d_Carrier_96 :: T_DecSetoid_84 -> ()
d_Carrier_96 :: T_DecSetoid_84 -> ()
d_Carrier_96 = T_DecSetoid_84 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._≈_
d__'8776'__98 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8776'__98 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8776'__98 = T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid.isDecEquivalence
d_isDecEquivalence_100 ::
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_100 :: T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 T_DecSetoid_84
v0
  = case T_DecSetoid_84 -> T_DecSetoid_84
forall a b. a -> b
coe T_DecSetoid_84
v0 of
      C_DecSetoid'46'constructor_1385 T_IsDecEquivalence_44
v3 -> T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
forall a b. a -> b
coe T_IsDecEquivalence_44
v3
      T_DecSetoid_84
_ -> T_IsDecEquivalence_44
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecSetoid._._≟_
d__'8799'__104 ::
  T_DecSetoid_84 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__104 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8799'__104 T_DecSetoid_84
v0
  = (T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__52
      ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
-- Relation.Binary.Bundles.DecSetoid._.isEquivalence
d_isEquivalence_106 ::
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_106 :: T_DecSetoid_84 -> T_IsEquivalence_26
d_isEquivalence_106 T_DecSetoid_84
v0
  = (T_IsDecEquivalence_44 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
      ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
-- Relation.Binary.Bundles.DecSetoid._.isPartialEquivalence
d_isPartialEquivalence_108 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_108 :: () -> () -> T_DecSetoid_84 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_108 ~()
v0 ~()
v1 T_DecSetoid_84
v2
  = T_DecSetoid_84 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_108 T_DecSetoid_84
v2
du_isPartialEquivalence_108 ::
  T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_108 :: T_DecSetoid_84 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_108 T_DecSetoid_84
v0
  = let v1 :: T_IsDecEquivalence_44
v1 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> T_DecSetoid_84
forall a b. a -> b
coe T_DecSetoid_84
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
            (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v1)))
-- Relation.Binary.Bundles.DecSetoid._.refl
d_refl_110 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny
d_refl_110 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny
d_refl_110 T_DecSetoid_84
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0)))
-- Relation.Binary.Bundles.DecSetoid._.reflexive
d_reflexive_112 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_112 :: ()
-> ()
-> T_DecSetoid_84
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_112 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_112 T_DecSetoid_84
v2
du_reflexive_112 ::
  T_DecSetoid_84 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_112 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_112 T_DecSetoid_84
v0
  = let v1 :: T_IsDecEquivalence_44
v1 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> T_DecSetoid_84
forall a b. a -> b
coe T_DecSetoid_84
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
           ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
              (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v1))
           AgdaAny
v2)
-- Relation.Binary.Bundles.DecSetoid._.sym
d_sym_114 ::
  T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_114 :: T_DecSetoid_84 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_114 T_DecSetoid_84
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0)))
-- Relation.Binary.Bundles.DecSetoid._.trans
d_trans_116 ::
  T_DecSetoid_84 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_116 :: T_DecSetoid_84
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_116 T_DecSetoid_84
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0)))
-- Relation.Binary.Bundles.DecSetoid.setoid
d_setoid_118 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> T_Setoid_44
d_setoid_118 :: () -> () -> T_DecSetoid_84 -> T_Setoid_44
d_setoid_118 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 T_DecSetoid_84
v2
du_setoid_118 :: T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 :: T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 T_DecSetoid_84
v0
  = (T_IsEquivalence_26 -> T_Setoid_44)
-> T_IsEquivalence_26 -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
C_Setoid'46'constructor_727
      (T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0)))
-- Relation.Binary.Bundles.DecSetoid._._≉_
d__'8777'__122 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8777'__122 :: () -> () -> T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
d__'8777'__122 = () -> () -> T_DecSetoid_84 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecSetoid._.partialSetoid
d_partialSetoid_124 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecSetoid_84 -> T_PartialSetoid_10
d_partialSetoid_124 :: () -> () -> T_DecSetoid_84 -> T_PartialSetoid_10
d_partialSetoid_124 ~()
v0 ~()
v1 T_DecSetoid_84
v2 = T_DecSetoid_84 -> T_PartialSetoid_10
du_partialSetoid_124 T_DecSetoid_84
v2
du_partialSetoid_124 :: T_DecSetoid_84 -> T_PartialSetoid_10
du_partialSetoid_124 :: T_DecSetoid_84 -> T_PartialSetoid_10
du_partialSetoid_124 T_DecSetoid_84
v0
  = (T_Setoid_44 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
-- Relation.Binary.Bundles.Preorder
d_Preorder_132 :: p -> p -> p -> ()
d_Preorder_132 p
a0 p
a1 p
a2 = ()
newtype T_Preorder_132
  = C_Preorder'46'constructor_2269 MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
-- Relation.Binary.Bundles.Preorder.Carrier
d_Carrier_148 :: T_Preorder_132 -> ()
d_Carrier_148 :: T_Preorder_132 -> ()
d_Carrier_148 = T_Preorder_132 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._≈_
d__'8776'__150 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__150 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__150 = T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder._∼_
d__'8764'__152 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8764'__152 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8764'__152 = T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.isPreorder
d_isPreorder_154 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_154 :: T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 T_Preorder_132
v0
  = case T_Preorder_132 -> T_Preorder_132
forall a b. a -> b
coe T_Preorder_132
v0 of
      C_Preorder'46'constructor_2269 T_IsPreorder_70
v4 -> T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v4
      T_Preorder_132
_ -> T_IsPreorder_70
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Preorder._.isEquivalence
d_isEquivalence_158 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_158 :: T_Preorder_132 -> T_IsEquivalence_26
d_isEquivalence_158 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.refl
d_refl_160 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_160 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_160 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_160 T_Preorder_132
v3
du_refl_160 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_160 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_160 T_Preorder_132
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.reflexive
d_reflexive_162 ::
  T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_162 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_162 T_Preorder_132
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.trans
d_trans_164 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_164 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_164 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_166 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_166 :: () -> () -> () -> T_Preorder_132 -> T_Σ_14
d_'8764''45'resp'45''8776'_166 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132 -> T_Σ_14
du_'8764''45'resp'45''8776'_166 T_Preorder_132
v3
du_'8764''45'resp'45''8776'_166 ::
  T_Preorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_166 :: T_Preorder_132 -> T_Σ_14
du_'8764''45'resp'45''8776'_166 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_112
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_168 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_168 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_168 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_168 T_Preorder_132
v3
du_'8764''45'resp'691''45''8776'_168 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_168 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_168 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_106
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_170 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_170 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_170 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_170 T_Preorder_132
v3
du_'8764''45'resp'737''45''8776'_170 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_170 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_170 T_Preorder_132
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_100
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder.Eq.setoid
d_setoid_174 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> T_Setoid_44
d_setoid_174 :: () -> () -> () -> T_Preorder_132 -> T_Setoid_44
d_setoid_174 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> T_Setoid_44
du_setoid_174 T_Preorder_132
v3
du_setoid_174 :: T_Preorder_132 -> T_Setoid_44
du_setoid_174 :: T_Preorder_132 -> T_Setoid_44
du_setoid_174 T_Preorder_132
v0
  = (T_IsEquivalence_26 -> T_Setoid_44)
-> T_IsEquivalence_26 -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
C_Setoid'46'constructor_727
      (T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._._≈_
d__'8776'__178 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__178 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8776'__178 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._._≉_
d__'8777'__180 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8777'__180 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
d__'8777'__180 = () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.Carrier
d_Carrier_182 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_Preorder_132 -> ()
d_Carrier_182 :: () -> () -> () -> T_Preorder_132 -> ()
d_Carrier_182 = () -> () -> () -> T_Preorder_132 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Preorder.Eq._.isEquivalence
d_isEquivalence_184 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_184 :: () -> () -> () -> T_Preorder_132 -> T_IsEquivalence_26
d_isEquivalence_184 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> T_IsEquivalence_26
du_isEquivalence_184 T_Preorder_132
v3
du_isEquivalence_184 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_184 :: T_Preorder_132 -> T_IsEquivalence_26
du_isEquivalence_184 T_Preorder_132
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder.Eq._.isPartialEquivalence
d_isPartialEquivalence_186 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_186 :: () -> () -> () -> T_Preorder_132 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_186 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3
  = T_Preorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_186 T_Preorder_132
v3
du_isPartialEquivalence_186 ::
  T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_186 :: T_Preorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_186 T_Preorder_132
v0
  = let v1 :: t
v1 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Preorder.Eq._.partialSetoid
d_partialSetoid_188 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> T_PartialSetoid_10
d_partialSetoid_188 :: () -> () -> () -> T_Preorder_132 -> T_PartialSetoid_10
d_partialSetoid_188 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> T_PartialSetoid_10
du_partialSetoid_188 T_Preorder_132
v3
du_partialSetoid_188 :: T_Preorder_132 -> T_PartialSetoid_10
du_partialSetoid_188 :: T_Preorder_132 -> T_PartialSetoid_10
du_partialSetoid_188 T_Preorder_132
v0
  = (T_Setoid_44 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
-- Relation.Binary.Bundles.Preorder.Eq._.refl
d_refl_190 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_190 :: () -> () -> () -> T_Preorder_132 -> AgdaAny -> AgdaAny
d_refl_190 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_190 T_Preorder_132
v3
du_refl_190 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_190 :: T_Preorder_132 -> AgdaAny -> AgdaAny
du_refl_190 T_Preorder_132
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._.reflexive
d_reflexive_192 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_192 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_192 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_192 T_Preorder_132
v3
du_reflexive_192 ::
  T_Preorder_132 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_192 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_192 T_Preorder_132
v0
  = let v1 :: t
v1 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.Preorder.Eq._.sym
d_sym_194 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_194 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_194 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_194 T_Preorder_132
v3
du_sym_194 ::
  T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_194 :: T_Preorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_194 T_Preorder_132
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0)))
-- Relation.Binary.Bundles.Preorder.Eq._.trans
d_trans_196 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_196 :: ()
-> ()
-> ()
-> T_Preorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_196 ~()
v0 ~()
v1 ~()
v2 T_Preorder_132
v3 = T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_196 T_Preorder_132
v3
du_trans_196 ::
  T_Preorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_196 :: T_Preorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_196 T_Preorder_132
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0)))
-- Relation.Binary.Bundles.TotalPreorder
d_TotalPreorder_204 :: p -> p -> p -> ()
d_TotalPreorder_204 p
a0 p
a1 p
a2 = ()
newtype T_TotalPreorder_204
  = C_TotalPreorder'46'constructor_3669 MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
-- Relation.Binary.Bundles.TotalPreorder.Carrier
d_Carrier_220 :: T_TotalPreorder_204 -> ()
d_Carrier_220 :: T_TotalPreorder_204 -> ()
d_Carrier_220 = T_TotalPreorder_204 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._≈_
d__'8776'__222 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8776'__222 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8776'__222 = T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._≲_
d__'8818'__224 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8818'__224 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8818'__224 = T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder.isTotalPreorder
d_isTotalPreorder_226 ::
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
d_isTotalPreorder_226 :: T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 T_TotalPreorder_204
v0
  = case T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0 of
      C_TotalPreorder'46'constructor_3669 T_IsTotalPreorder_118
v4 -> T_IsTotalPreorder_118 -> T_IsTotalPreorder_118
forall a b. a -> b
coe T_IsTotalPreorder_118
v4
      T_TotalPreorder_204
_ -> T_IsTotalPreorder_118
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.TotalPreorder._.isEquivalence
d_isEquivalence_230 ::
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_230 :: T_TotalPreorder_204 -> T_IsEquivalence_26
d_isEquivalence_230 T_TotalPreorder_204
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.isPreorder
d_isPreorder_232 ::
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_232 :: T_TotalPreorder_204 -> T_IsPreorder_70
d_isPreorder_232 T_TotalPreorder_204
v0
  = (T_IsTotalPreorder_118 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
-- Relation.Binary.Bundles.TotalPreorder._.refl
d_refl_234 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny
d_refl_234 :: () -> () -> () -> T_TotalPreorder_204 -> AgdaAny -> AgdaAny
d_refl_234 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> AgdaAny -> AgdaAny
du_refl_234 T_TotalPreorder_204
v3
du_refl_234 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny
du_refl_234 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny
du_refl_234 T_TotalPreorder_204
v0
  = let v1 :: T_IsTotalPreorder_118
v1 = T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126 (T_IsTotalPreorder_118 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_118
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.reflexive
d_reflexive_236 ::
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_236 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_236 T_TotalPreorder_204
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.total
d_total_238 ::
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_238 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_238 T_TotalPreorder_204
v0
  = (T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalPreorder_118 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_128
      ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
-- Relation.Binary.Bundles.TotalPreorder._.trans
d_trans_240 ::
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_240 :: T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_240 T_TotalPreorder_204
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_242 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_242 :: () -> () -> () -> T_TotalPreorder_204 -> T_Σ_14
d_'8764''45'resp'45''8776'_242 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3
  = T_TotalPreorder_204 -> T_Σ_14
du_'8764''45'resp'45''8776'_242 T_TotalPreorder_204
v3
du_'8764''45'resp'45''8776'_242 ::
  T_TotalPreorder_204 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_242 :: T_TotalPreorder_204 -> T_Σ_14
du_'8764''45'resp'45''8776'_242 T_TotalPreorder_204
v0
  = let v1 :: T_IsTotalPreorder_118
v1 = T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_112
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126 (T_IsTotalPreorder_118 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_118
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_244 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_244 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_244 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3
  = T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_244 T_TotalPreorder_204
v3
du_'8764''45'resp'691''45''8776'_244 ::
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_244 :: T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_244 T_TotalPreorder_204
v0
  = let v1 :: T_IsTotalPreorder_118
v1 = T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_106
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126 (T_IsTotalPreorder_118 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_118
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_246 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_246 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_246 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3
  = T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_246 T_TotalPreorder_204
v3
du_'8764''45'resp'737''45''8776'_246 ::
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_246 :: T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_246 T_TotalPreorder_204
v0
  = let v1 :: T_IsTotalPreorder_118
v1 = T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> T_TotalPreorder_204
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_100
         ((T_IsTotalPreorder_118 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126 (T_IsTotalPreorder_118 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_118
v1)))
-- Relation.Binary.Bundles.TotalPreorder.preorder
d_preorder_248 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> T_Preorder_132
d_preorder_248 :: () -> () -> () -> T_TotalPreorder_204 -> T_Preorder_132
d_preorder_248 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 T_TotalPreorder_204
v3
du_preorder_248 :: T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 :: T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 T_TotalPreorder_204
v0
  = (T_IsPreorder_70 -> T_Preorder_132)
-> T_IsPreorder_70 -> T_Preorder_132
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Preorder_132
C_Preorder'46'constructor_2269
      (T_IsTotalPreorder_118 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_126
         ((T_TotalPreorder_204 -> T_IsTotalPreorder_118)
-> AgdaAny -> T_IsTotalPreorder_118
forall a b. a -> b
coe T_TotalPreorder_204 -> T_IsTotalPreorder_118
d_isTotalPreorder_226 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq._≈_
d__'8776'__254 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8776'__254 :: () -> () -> () -> T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8776'__254 = () -> () -> () -> T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq._≉_
d__'8777'__256 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8777'__256 :: () -> () -> () -> T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
d__'8777'__256 = () -> () -> () -> T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.Carrier
d_Carrier_258 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_TotalPreorder_204 -> ()
d_Carrier_258 :: () -> () -> () -> T_TotalPreorder_204 -> ()
d_Carrier_258 = () -> () -> () -> T_TotalPreorder_204 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalPreorder._.Eq.isEquivalence
d_isEquivalence_260 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_260 :: () -> () -> () -> T_TotalPreorder_204 -> T_IsEquivalence_26
d_isEquivalence_260 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> T_IsEquivalence_26
du_isEquivalence_260 T_TotalPreorder_204
v3
du_isEquivalence_260 ::
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_260 :: T_TotalPreorder_204 -> T_IsEquivalence_26
du_isEquivalence_260 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.isPartialEquivalence
d_isPartialEquivalence_262 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_262 :: () -> () -> () -> T_TotalPreorder_204 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_262 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3
  = T_TotalPreorder_204 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_262 T_TotalPreorder_204
v3
du_isPartialEquivalence_262 ::
  T_TotalPreorder_204 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_262 :: T_TotalPreorder_204 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_262 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.partialSetoid
d_partialSetoid_264 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> T_PartialSetoid_10
d_partialSetoid_264 :: () -> () -> () -> T_TotalPreorder_204 -> T_PartialSetoid_10
d_partialSetoid_264 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> T_PartialSetoid_10
du_partialSetoid_264 T_TotalPreorder_204
v3
du_partialSetoid_264 :: T_TotalPreorder_204 -> T_PartialSetoid_10
du_partialSetoid_264 :: T_TotalPreorder_204 -> T_PartialSetoid_10
du_partialSetoid_264 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.refl
d_refl_266 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny
d_refl_266 :: () -> () -> () -> T_TotalPreorder_204 -> AgdaAny -> AgdaAny
d_refl_266 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> AgdaAny -> AgdaAny
du_refl_266 T_TotalPreorder_204
v3
du_refl_266 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny
du_refl_266 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny
du_refl_266 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.reflexive
d_reflexive_268 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_268 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_268 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_268 T_TotalPreorder_204
v3
du_reflexive_268 ::
  T_TotalPreorder_204 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_268 :: T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_268 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.setoid
d_setoid_270 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> T_Setoid_44
d_setoid_270 :: () -> () -> () -> T_TotalPreorder_204 -> T_Setoid_44
d_setoid_270 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> T_Setoid_44
du_setoid_270 T_TotalPreorder_204
v3
du_setoid_270 :: T_TotalPreorder_204 -> T_Setoid_44
du_setoid_270 :: T_TotalPreorder_204 -> T_Setoid_44
du_setoid_270 T_TotalPreorder_204
v0 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 ((T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.sym
d_sym_272 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_272 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_272 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_272 T_TotalPreorder_204
v3
du_sym_272 ::
  T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_272 :: T_TotalPreorder_204 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_272 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.TotalPreorder._.Eq.trans
d_trans_274 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_274 :: ()
-> ()
-> ()
-> T_TotalPreorder_204
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_274 ~()
v0 ~()
v1 ~()
v2 T_TotalPreorder_204
v3 = T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_274 T_TotalPreorder_204
v3
du_trans_274 ::
  T_TotalPreorder_204 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_274 :: T_TotalPreorder_204
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_274 T_TotalPreorder_204
v0
  = let v1 :: t
v1 = (T_TotalPreorder_204 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalPreorder_204 -> T_Preorder_132
du_preorder_248 (T_TotalPreorder_204 -> AgdaAny
forall a b. a -> b
coe T_TotalPreorder_204
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.Poset
d_Poset_282 :: p -> p -> p -> ()
d_Poset_282 p
a0 p
a1 p
a2 = ()
newtype T_Poset_282
  = C_Poset'46'constructor_5219 MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_162
-- Relation.Binary.Bundles.Poset.Carrier
d_Carrier_298 :: T_Poset_282 -> ()
d_Carrier_298 :: T_Poset_282 -> ()
d_Carrier_298 = T_Poset_282 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._≈_
d__'8776'__300 :: T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8776'__300 :: T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8776'__300 = T_Poset_282 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._≤_
d__'8804'__302 :: T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8804'__302 :: T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8804'__302 = T_Poset_282 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset.isPartialOrder
d_isPartialOrder_304 ::
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_162
d_isPartialOrder_304 :: T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 T_Poset_282
v0
  = case T_Poset_282 -> T_Poset_282
forall a b. a -> b
coe T_Poset_282
v0 of
      C_Poset'46'constructor_5219 T_IsPartialOrder_162
v4 -> T_IsPartialOrder_162 -> T_IsPartialOrder_162
forall a b. a -> b
coe T_IsPartialOrder_162
v4
      T_Poset_282
_ -> T_IsPartialOrder_162
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.Poset._.antisym
d_antisym_308 ::
  T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_308 :: T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_308 T_Poset_282
v0
  = (T_IsPartialOrder_162
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_162
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_172
      ((T_Poset_282 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0))
-- Relation.Binary.Bundles.Poset._.isEquivalence
d_isEquivalence_310 ::
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_310 :: T_Poset_282 -> T_IsEquivalence_26
d_isEquivalence_310 T_Poset_282
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_Poset_282 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0)))
-- Relation.Binary.Bundles.Poset._.isPreorder
d_isPreorder_312 ::
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_312 :: T_Poset_282 -> T_IsPreorder_70
d_isPreorder_312 T_Poset_282
v0
  = (T_IsPartialOrder_162 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
      ((T_Poset_282 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0))
-- Relation.Binary.Bundles.Poset._.refl
d_refl_314 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> AgdaAny -> AgdaAny
d_refl_314 :: () -> () -> () -> T_Poset_282 -> AgdaAny -> AgdaAny
d_refl_314 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> AgdaAny -> AgdaAny
du_refl_314 T_Poset_282
v3
du_refl_314 :: T_Poset_282 -> AgdaAny -> AgdaAny
du_refl_314 :: T_Poset_282 -> AgdaAny -> AgdaAny
du_refl_314 T_Poset_282
v0
  = let v1 :: T_IsPartialOrder_162
v1 = T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> T_Poset_282
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170 (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v1)))
-- Relation.Binary.Bundles.Poset._.reflexive
d_reflexive_316 ::
  T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_316 :: T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_316 T_Poset_282
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_Poset_282 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0)))
-- Relation.Binary.Bundles.Poset._.trans
d_trans_318 ::
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_318 :: T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_318 T_Poset_282
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_Poset_282 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0)))
-- Relation.Binary.Bundles.Poset._.∼-resp-≈
d_'8764''45'resp'45''8776'_320 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_320 :: () -> () -> () -> T_Poset_282 -> T_Σ_14
d_'8764''45'resp'45''8776'_320 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3
  = T_Poset_282 -> T_Σ_14
du_'8764''45'resp'45''8776'_320 T_Poset_282
v3
du_'8764''45'resp'45''8776'_320 ::
  T_Poset_282 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_320 :: T_Poset_282 -> T_Σ_14
du_'8764''45'resp'45''8776'_320 T_Poset_282
v0
  = let v1 :: T_IsPartialOrder_162
v1 = T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> T_Poset_282
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_112
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170 (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v1)))
-- Relation.Binary.Bundles.Poset._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_322 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_322 :: ()
-> ()
-> ()
-> T_Poset_282
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_322 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3
  = T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_322 T_Poset_282
v3
du_'8764''45'resp'691''45''8776'_322 ::
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_322 :: T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_322 T_Poset_282
v0
  = let v1 :: T_IsPartialOrder_162
v1 = T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> T_Poset_282
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_106
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170 (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v1)))
-- Relation.Binary.Bundles.Poset._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_324 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_324 :: ()
-> ()
-> ()
-> T_Poset_282
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_324 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3
  = T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_324 T_Poset_282
v3
du_'8764''45'resp'737''45''8776'_324 ::
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_324 :: T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_324 T_Poset_282
v0
  = let v1 :: T_IsPartialOrder_162
v1 = T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> T_Poset_282
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_100
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170 (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v1)))
-- Relation.Binary.Bundles.Poset.preorder
d_preorder_326 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> T_Preorder_132
d_preorder_326 :: () -> () -> () -> T_Poset_282 -> T_Preorder_132
d_preorder_326 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> T_Preorder_132
du_preorder_326 T_Poset_282
v3
du_preorder_326 :: T_Poset_282 -> T_Preorder_132
du_preorder_326 :: T_Poset_282 -> T_Preorder_132
du_preorder_326 T_Poset_282
v0
  = (T_IsPreorder_70 -> T_Preorder_132)
-> T_IsPreorder_70 -> T_Preorder_132
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Preorder_132
C_Preorder'46'constructor_2269
      (T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_Poset_282 -> T_IsPartialOrder_162)
-> AgdaAny -> T_IsPartialOrder_162
forall a b. a -> b
coe T_Poset_282 -> T_IsPartialOrder_162
d_isPartialOrder_304 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0)))
-- Relation.Binary.Bundles.Poset._.Eq._≈_
d__'8776'__332 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8776'__332 :: () -> () -> () -> T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8776'__332 = () -> () -> () -> T_Poset_282 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq._≉_
d__'8777'__334 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8777'__334 :: () -> () -> () -> T_Poset_282 -> AgdaAny -> AgdaAny -> ()
d__'8777'__334 = () -> () -> () -> T_Poset_282 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.Carrier
d_Carrier_336 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_Poset_282 -> ()
d_Carrier_336 :: () -> () -> () -> T_Poset_282 -> ()
d_Carrier_336 = () -> () -> () -> T_Poset_282 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.Poset._.Eq.isEquivalence
d_isEquivalence_338 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_338 :: () -> () -> () -> T_Poset_282 -> T_IsEquivalence_26
d_isEquivalence_338 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> T_IsEquivalence_26
du_isEquivalence_338 T_Poset_282
v3
du_isEquivalence_338 ::
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_338 :: T_Poset_282 -> T_IsEquivalence_26
du_isEquivalence_338 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.Eq.isPartialEquivalence
d_isPartialEquivalence_340 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_340 :: () -> () -> () -> T_Poset_282 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_340 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3
  = T_Poset_282 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_340 T_Poset_282
v3
du_isPartialEquivalence_340 ::
  T_Poset_282 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_340 :: T_Poset_282 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_340 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.Poset._.Eq.partialSetoid
d_partialSetoid_342 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> T_PartialSetoid_10
d_partialSetoid_342 :: () -> () -> () -> T_Poset_282 -> T_PartialSetoid_10
d_partialSetoid_342 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> T_PartialSetoid_10
du_partialSetoid_342 T_Poset_282
v3
du_partialSetoid_342 :: T_Poset_282 -> T_PartialSetoid_10
du_partialSetoid_342 :: T_Poset_282 -> T_PartialSetoid_10
du_partialSetoid_342 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.Poset._.Eq.refl
d_refl_344 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> AgdaAny -> AgdaAny
d_refl_344 :: () -> () -> () -> T_Poset_282 -> AgdaAny -> AgdaAny
d_refl_344 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> AgdaAny -> AgdaAny
du_refl_344 T_Poset_282
v3
du_refl_344 :: T_Poset_282 -> AgdaAny -> AgdaAny
du_refl_344 :: T_Poset_282 -> AgdaAny -> AgdaAny
du_refl_344 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.Poset._.Eq.reflexive
d_reflexive_346 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_346 :: ()
-> ()
-> ()
-> T_Poset_282
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_346 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_346 T_Poset_282
v3
du_reflexive_346 ::
  T_Poset_282 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_346 :: T_Poset_282 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_346 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.Poset._.Eq.setoid
d_setoid_348 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> T_Setoid_44
d_setoid_348 :: () -> () -> () -> T_Poset_282 -> T_Setoid_44
d_setoid_348 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> T_Setoid_44
du_setoid_348 T_Poset_282
v3
du_setoid_348 :: T_Poset_282 -> T_Setoid_44
du_setoid_348 :: T_Poset_282 -> T_Setoid_44
du_setoid_348 T_Poset_282
v0 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 ((T_Poset_282 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0))
-- Relation.Binary.Bundles.Poset._.Eq.sym
d_sym_350 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_350 :: ()
-> ()
-> ()
-> T_Poset_282
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_350 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_350 T_Poset_282
v3
du_sym_350 ::
  T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_350 :: T_Poset_282 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_350 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.Poset._.Eq.trans
d_trans_352 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_352 :: ()
-> ()
-> ()
-> T_Poset_282
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_352 ~()
v0 ~()
v1 ~()
v2 T_Poset_282
v3 = T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_352 T_Poset_282
v3
du_trans_352 ::
  T_Poset_282 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_352 :: T_Poset_282
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_352 T_Poset_282
v0
  = let v1 :: t
v1 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (T_Poset_282 -> AgdaAny
forall a b. a -> b
coe T_Poset_282
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.DecPoset
d_DecPoset_360 :: p -> p -> p -> ()
d_DecPoset_360 p
a0 p
a1 p
a2 = ()
newtype T_DecPoset_360
  = C_DecPoset'46'constructor_6777 MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_206
-- Relation.Binary.Bundles.DecPoset.Carrier
d_Carrier_376 :: T_DecPoset_360 -> ()
d_Carrier_376 :: T_DecPoset_360 -> ()
d_Carrier_376 = T_DecPoset_360 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._≈_
d__'8776'__378 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8776'__378 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8776'__378 = T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset._≤_
d__'8804'__380 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8804'__380 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8804'__380 = T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.isDecPartialOrder
d_isDecPartialOrder_382 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_206
d_isDecPartialOrder_382 :: T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 T_DecPoset_360
v0
  = case T_DecPoset_360 -> T_DecPoset_360
forall a b. a -> b
coe T_DecPoset_360
v0 of
      C_DecPoset'46'constructor_6777 T_IsDecPartialOrder_206
v4 -> T_IsDecPartialOrder_206 -> T_IsDecPartialOrder_206
forall a b. a -> b
coe T_IsDecPartialOrder_206
v4
      T_DecPoset_360
_ -> T_IsDecPartialOrder_206
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecPoset.DPO._≟_
d__'8799'__386 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__386 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8799'__386 T_DecPoset_360
v0
  = (T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__218
      ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.DPO._≤?_
d__'8804''63'__388 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8804''63'__388 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8804''63'__388 T_DecPoset_360
v0
  = (T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8804''63'__220
      ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.DPO.antisym
d_antisym_390 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_390 :: T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_390 T_DecPoset_360
v0
  = (T_IsPartialOrder_162
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_162
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_172
      ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
         ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))
-- Relation.Binary.Bundles.DecPoset.DPO.isEquivalence
d_isEquivalence_392 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_392 :: T_DecPoset_360 -> T_IsEquivalence_26
d_isEquivalence_392 T_DecPoset_360
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
            ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))))
-- Relation.Binary.Bundles.DecPoset.DPO.isPartialOrder
d_isPartialOrder_394 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_162
d_isPartialOrder_394 :: T_DecPoset_360 -> T_IsPartialOrder_162
d_isPartialOrder_394 T_DecPoset_360
v0
  = (T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> T_IsPartialOrder_162
forall a b. a -> b
coe
      T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
      ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.DPO.isPreorder
d_isPreorder_396 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_396 :: T_DecPoset_360 -> T_IsPreorder_70
d_isPreorder_396 T_DecPoset_360
v0
  = (T_IsPartialOrder_162 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
      ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
         ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))
-- Relation.Binary.Bundles.DecPoset.DPO.refl
d_refl_398 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> AgdaAny -> AgdaAny
d_refl_398 :: () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny
d_refl_398 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> AgdaAny -> AgdaAny
du_refl_398 T_DecPoset_360
v3
du_refl_398 :: T_DecPoset_360 -> AgdaAny -> AgdaAny
du_refl_398 :: T_DecPoset_360 -> AgdaAny -> AgdaAny
du_refl_398 T_DecPoset_360
v0
  = let v1 :: T_IsDecPartialOrder_206
v1 = T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> T_DecPoset_360
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                 (T_IsDecPartialOrder_206 -> T_IsDecPartialOrder_206
forall a b. a -> b
coe T_IsDecPartialOrder_206
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.DecPoset.DPO.reflexive
d_reflexive_400 ::
  T_DecPoset_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_400 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_400 T_DecPoset_360
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
            ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))))
-- Relation.Binary.Bundles.DecPoset.DPO.trans
d_trans_402 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_402 :: T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_402 T_DecPoset_360
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
            ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))))
-- Relation.Binary.Bundles.DecPoset.DPO.∼-resp-≈
d_'8764''45'resp'45''8776'_404 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_404 :: () -> () -> () -> T_DecPoset_360 -> T_Σ_14
d_'8764''45'resp'45''8776'_404 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3
  = T_DecPoset_360 -> T_Σ_14
du_'8764''45'resp'45''8776'_404 T_DecPoset_360
v3
du_'8764''45'resp'45''8776'_404 ::
  T_DecPoset_360 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_404 :: T_DecPoset_360 -> T_Σ_14
du_'8764''45'resp'45''8776'_404 T_DecPoset_360
v0
  = let v1 :: T_IsDecPartialOrder_206
v1 = T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> T_DecPoset_360
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                 (T_IsDecPartialOrder_206 -> T_IsDecPartialOrder_206
forall a b. a -> b
coe T_IsDecPartialOrder_206
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_112
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.DecPoset.DPO.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_406 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_406 :: ()
-> ()
-> ()
-> T_DecPoset_360
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_406 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3
  = T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_406 T_DecPoset_360
v3
du_'8764''45'resp'691''45''8776'_406 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_406 :: T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_406 T_DecPoset_360
v0
  = let v1 :: T_IsDecPartialOrder_206
v1 = T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> T_DecPoset_360
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                 (T_IsDecPartialOrder_206 -> T_IsDecPartialOrder_206
forall a b. a -> b
coe T_IsDecPartialOrder_206
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_106
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.DecPoset.DPO.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_408 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_408 :: ()
-> ()
-> ()
-> T_DecPoset_360
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_408 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3
  = T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_408 T_DecPoset_360
v3
du_'8764''45'resp'737''45''8776'_408 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_408 :: T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_408 T_DecPoset_360
v0
  = let v1 :: T_IsDecPartialOrder_206
v1 = T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> T_DecPoset_360
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                 (T_IsDecPartialOrder_206 -> T_IsDecPartialOrder_206
forall a b. a -> b
coe T_IsDecPartialOrder_206
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_100
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.DecPoset.poset
d_poset_428 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> T_Poset_282
d_poset_428 :: () -> () -> () -> T_DecPoset_360 -> T_Poset_282
d_poset_428 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_Poset_282
du_poset_428 T_DecPoset_360
v3
du_poset_428 :: T_DecPoset_360 -> T_Poset_282
du_poset_428 :: T_DecPoset_360 -> T_Poset_282
du_poset_428 T_DecPoset_360
v0
  = (T_IsPartialOrder_162 -> T_Poset_282)
-> T_IsPartialOrder_162 -> T_Poset_282
forall a b. a -> b
coe
      T_IsPartialOrder_162 -> T_Poset_282
C_Poset'46'constructor_5219
      (T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
         ((T_DecPoset_360 -> T_IsDecPartialOrder_206)
-> AgdaAny -> T_IsDecPartialOrder_206
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))
-- Relation.Binary.Bundles.DecPoset._.preorder
d_preorder_432 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> T_Preorder_132
d_preorder_432 :: () -> () -> () -> T_DecPoset_360 -> T_Preorder_132
d_preorder_432 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_Preorder_132
du_preorder_432 T_DecPoset_360
v3
du_preorder_432 :: T_DecPoset_360 -> T_Preorder_132
du_preorder_432 :: T_DecPoset_360 -> T_Preorder_132
du_preorder_432 T_DecPoset_360
v0
  = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> T_Preorder_132
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 ((T_DecPoset_360 -> T_Poset_282) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_Poset_282
du_poset_428 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.Eq.decSetoid
d_decSetoid_436 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> T_DecSetoid_84
d_decSetoid_436 :: () -> () -> () -> T_DecPoset_360 -> T_DecSetoid_84
d_decSetoid_436 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 T_DecPoset_360
v3
du_decSetoid_436 :: T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 :: T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 T_DecPoset_360
v0
  = (T_IsDecEquivalence_44 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_DecSetoid_84
C_DecSetoid'46'constructor_1385
      ((T_IsDecPartialOrder_206 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_206 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_244
         ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))
-- Relation.Binary.Bundles.DecPoset.Eq._._≈_
d__'8776'__440 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8776'__440 :: () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8776'__440 = () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.Eq._._≉_
d__'8777'__442 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8777'__442 :: () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
d__'8777'__442 = () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.Eq._._≟_
d__'8799'__444 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__444 :: () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8799'__444 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__444 T_DecPoset_360
v3
du__'8799'__444 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
du__'8799'__444 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__444 T_DecPoset_360
v0
  = (T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__218
      ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.Eq._.Carrier
d_Carrier_446 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_DecPoset_360 -> ()
d_Carrier_446 :: () -> () -> () -> T_DecPoset_360 -> ()
d_Carrier_446 = () -> () -> () -> T_DecPoset_360 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecPoset.Eq._.isDecEquivalence
d_isDecEquivalence_448 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_448 :: () -> () -> () -> T_DecPoset_360 -> T_IsDecEquivalence_44
d_isDecEquivalence_448 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_IsDecEquivalence_44
du_isDecEquivalence_448 T_DecPoset_360
v3
du_isDecEquivalence_448 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_448 :: T_DecPoset_360 -> T_IsDecEquivalence_44
du_isDecEquivalence_448 T_DecPoset_360
v0
  = (T_IsDecPartialOrder_206 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsDecPartialOrder_206 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_244
      ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.Eq._.isEquivalence
d_isEquivalence_450 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_450 :: () -> () -> () -> T_DecPoset_360 -> T_IsEquivalence_26
d_isEquivalence_450 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_IsEquivalence_26
du_isEquivalence_450 T_DecPoset_360
v3
du_isEquivalence_450 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_450 :: T_DecPoset_360 -> T_IsEquivalence_26
du_isEquivalence_450 T_DecPoset_360
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
            ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))))
-- Relation.Binary.Bundles.DecPoset.Eq._.isPartialEquivalence
d_isPartialEquivalence_452 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_452 :: () -> () -> () -> T_DecPoset_360 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_452 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3
  = T_DecPoset_360 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_452 T_DecPoset_360
v3
du_isPartialEquivalence_452 ::
  T_DecPoset_360 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_452 :: T_DecPoset_360 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_452 T_DecPoset_360
v0
  = let v1 :: t
v1 = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsDecEquivalence_44
v2 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
               (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v2))))
-- Relation.Binary.Bundles.DecPoset.Eq._.partialSetoid
d_partialSetoid_454 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> T_PartialSetoid_10
d_partialSetoid_454 :: () -> () -> () -> T_DecPoset_360 -> T_PartialSetoid_10
d_partialSetoid_454 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_PartialSetoid_10
du_partialSetoid_454 T_DecPoset_360
v3
du_partialSetoid_454 :: T_DecPoset_360 -> T_PartialSetoid_10
du_partialSetoid_454 :: T_DecPoset_360 -> T_PartialSetoid_10
du_partialSetoid_454 T_DecPoset_360
v0
  = let v1 :: t
v1 = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecPoset.Eq._.refl
d_refl_456 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> AgdaAny -> AgdaAny
d_refl_456 :: () -> () -> () -> T_DecPoset_360 -> AgdaAny -> AgdaAny
d_refl_456 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> AgdaAny -> AgdaAny
du_refl_456 T_DecPoset_360
v3
du_refl_456 :: T_DecPoset_360 -> AgdaAny -> AgdaAny
du_refl_456 :: T_DecPoset_360 -> AgdaAny -> AgdaAny
du_refl_456 T_DecPoset_360
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
            ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
               ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))))
-- Relation.Binary.Bundles.DecPoset.Eq._.reflexive
d_reflexive_458 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_458 :: ()
-> ()
-> ()
-> T_DecPoset_360
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_458 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_458 T_DecPoset_360
v3
du_reflexive_458 ::
  T_DecPoset_360 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_458 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_458 T_DecPoset_360
v0
  = let v1 :: t
v1 = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsDecEquivalence_44
v2 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
                 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v2))
              AgdaAny
v3))
-- Relation.Binary.Bundles.DecPoset.Eq._.setoid
d_setoid_460 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> T_Setoid_44
d_setoid_460 :: () -> () -> () -> T_DecPoset_360 -> T_Setoid_44
d_setoid_460 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> T_Setoid_44
du_setoid_460 T_DecPoset_360
v3
du_setoid_460 :: T_DecPoset_360 -> T_Setoid_44
du_setoid_460 :: T_DecPoset_360 -> T_Setoid_44
du_setoid_460 T_DecPoset_360
v0
  = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 ((T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0))
-- Relation.Binary.Bundles.DecPoset.Eq._.sym
d_sym_462 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_462 :: ()
-> ()
-> ()
-> T_DecPoset_360
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_462 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_462 T_DecPoset_360
v3
du_sym_462 ::
  T_DecPoset_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_462 :: T_DecPoset_360 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_462 T_DecPoset_360
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
            ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
               ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))))
-- Relation.Binary.Bundles.DecPoset.Eq._.trans
d_trans_464 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_464 :: ()
-> ()
-> ()
-> T_DecPoset_360
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_464 ~()
v0 ~()
v1 ~()
v2 T_DecPoset_360
v3 = T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_464 T_DecPoset_360
v3
du_trans_464 ::
  T_DecPoset_360 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_464 :: T_DecPoset_360
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_464 T_DecPoset_360
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
            ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
               ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (T_DecPoset_360 -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360
v0)))))
-- Relation.Binary.Bundles.StrictPartialOrder
d_StrictPartialOrder_472 :: p -> p -> p -> ()
d_StrictPartialOrder_472 p
a0 p
a1 p
a2 = ()
newtype T_StrictPartialOrder_472
  = C_StrictPartialOrder'46'constructor_8957 MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
-- Relation.Binary.Bundles.StrictPartialOrder.Carrier
d_Carrier_488 :: T_StrictPartialOrder_472 -> ()
d_Carrier_488 :: T_StrictPartialOrder_472 -> ()
d_Carrier_488 = T_StrictPartialOrder_472 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._≈_
d__'8776'__490 ::
  T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'8776'__490 :: T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'8776'__490 = T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._<_
d__'60'__492 ::
  T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'60'__492 :: T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'60'__492 = T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.isStrictPartialOrder
d_isStrictPartialOrder_494 ::
  T_StrictPartialOrder_472 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 :: T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 T_StrictPartialOrder_472
v0
  = case T_StrictPartialOrder_472 -> T_StrictPartialOrder_472
forall a b. a -> b
coe T_StrictPartialOrder_472
v0 of
      C_StrictPartialOrder'46'constructor_8957 T_IsStrictPartialOrder_266
v4 -> T_IsStrictPartialOrder_266 -> T_IsStrictPartialOrder_266
forall a b. a -> b
coe T_IsStrictPartialOrder_266
v4
      T_StrictPartialOrder_472
_ -> T_IsStrictPartialOrder_266
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.StrictPartialOrder._.<-resp-≈
d_'60''45'resp'45''8776'_498 ::
  T_StrictPartialOrder_472 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_498 :: T_StrictPartialOrder_472 -> T_Σ_14
d_'60''45'resp'45''8776'_498 T_StrictPartialOrder_472
v0
  = (T_IsStrictPartialOrder_266 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_284
      ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_500 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_500 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_500 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3
  = T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_500 T_StrictPartialOrder_472
v3
du_'60''45'resp'691''45''8776'_500 ::
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_500 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_500 T_StrictPartialOrder_472
v0
  = (T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_304
      ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_502 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_502 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_502 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3
  = T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_502 T_StrictPartialOrder_472
v3
du_'60''45'resp'737''45''8776'_502 ::
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_502 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_502 T_StrictPartialOrder_472
v0
  = (T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_306
      ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.asym
d_asym_504 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_asym_504 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
d_asym_504 = ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.asymmetric
d_asymmetric_506 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_asymmetric_506 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
d_asymmetric_506 = ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.irrefl
d_irrefl_508 ::
  T_StrictPartialOrder_472 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_irrefl_508 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_'8869'_4
d_irrefl_508 = T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder._.isEquivalence
d_isEquivalence_510 ::
  T_StrictPartialOrder_472 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_510 :: T_StrictPartialOrder_472 -> T_IsEquivalence_26
d_isEquivalence_510 T_StrictPartialOrder_472
v0
  = (T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
      ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder._.trans
d_trans_512 ::
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_512 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_512 T_StrictPartialOrder_472
v0
  = (T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_282
      ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq.setoid
d_setoid_516 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 -> T_Setoid_44
d_setoid_516 :: () -> () -> () -> T_StrictPartialOrder_472 -> T_Setoid_44
d_setoid_516 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 T_StrictPartialOrder_472
v3
du_setoid_516 :: T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 :: T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 T_StrictPartialOrder_472
v0
  = (T_IsEquivalence_26 -> T_Setoid_44)
-> T_IsEquivalence_26 -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
C_Setoid'46'constructor_727
      (T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> T_IsStrictPartialOrder_266
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._._≈_
d__'8776'__520 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'8776'__520 :: ()
-> () -> () -> T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'8776'__520 = ()
-> () -> () -> T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._._≉_
d__'8777'__522 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'8777'__522 :: ()
-> () -> () -> T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
d__'8777'__522 = ()
-> () -> () -> T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.Carrier
d_Carrier_524 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 -> ()
d_Carrier_524 :: () -> () -> () -> T_StrictPartialOrder_472 -> ()
d_Carrier_524 = () -> () -> () -> T_StrictPartialOrder_472 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_526 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_526 :: () -> () -> () -> T_StrictPartialOrder_472 -> T_IsEquivalence_26
d_isEquivalence_526 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472 -> T_IsEquivalence_26
du_isEquivalence_526 T_StrictPartialOrder_472
v3
du_isEquivalence_526 ::
  T_StrictPartialOrder_472 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_526 :: T_StrictPartialOrder_472 -> T_IsEquivalence_26
du_isEquivalence_526 T_StrictPartialOrder_472
v0
  = (T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
      ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_528 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_528 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_528 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3
  = T_StrictPartialOrder_472 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_528 T_StrictPartialOrder_472
v3
du_isPartialEquivalence_528 ::
  T_StrictPartialOrder_472 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_528 :: T_StrictPartialOrder_472 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_528 T_StrictPartialOrder_472
v0
  = let v1 :: t
v1 = (T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.partialSetoid
d_partialSetoid_530 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 -> T_PartialSetoid_10
d_partialSetoid_530 :: () -> () -> () -> T_StrictPartialOrder_472 -> T_PartialSetoid_10
d_partialSetoid_530 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472 -> T_PartialSetoid_10
du_partialSetoid_530 T_StrictPartialOrder_472
v3
du_partialSetoid_530 ::
  T_StrictPartialOrder_472 -> T_PartialSetoid_10
du_partialSetoid_530 :: T_StrictPartialOrder_472 -> T_PartialSetoid_10
du_partialSetoid_530 T_StrictPartialOrder_472
v0
  = (T_Setoid_44 -> T_PartialSetoid_10)
-> AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.refl
d_refl_532 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny
d_refl_532 :: () -> () -> () -> T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny
d_refl_532 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny
du_refl_532 T_StrictPartialOrder_472
v3
du_refl_532 :: T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny
du_refl_532 :: T_StrictPartialOrder_472 -> AgdaAny -> AgdaAny
du_refl_532 T_StrictPartialOrder_472
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.reflexive
d_reflexive_534 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_534 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_534 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_534 T_StrictPartialOrder_472
v3
du_reflexive_534 ::
  T_StrictPartialOrder_472 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_534 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_534 T_StrictPartialOrder_472
v0
  = let v1 :: t
v1 = (T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
           T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
           ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.sym
d_sym_536 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_536 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_536 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_536 T_StrictPartialOrder_472
v3
du_sym_536 ::
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_536 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_536 T_StrictPartialOrder_472
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0)))
-- Relation.Binary.Bundles.StrictPartialOrder.Eq._.trans
d_trans_538 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_538 :: ()
-> ()
-> ()
-> T_StrictPartialOrder_472
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_538 ~()
v0 ~()
v1 ~()
v2 T_StrictPartialOrder_472
v3 = T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_538 T_StrictPartialOrder_472
v3
du_trans_538 ::
  T_StrictPartialOrder_472 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_538 :: T_StrictPartialOrder_472
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_538 T_StrictPartialOrder_472
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (T_StrictPartialOrder_472 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder
d_DecStrictPartialOrder_546 :: p -> p -> p -> ()
d_DecStrictPartialOrder_546 p
a0 p
a1 p
a2 = ()
newtype T_DecStrictPartialOrder_546
  = C_DecStrictPartialOrder'46'constructor_10419 MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_314
-- Relation.Binary.Bundles.DecStrictPartialOrder.Carrier
d_Carrier_562 :: T_DecStrictPartialOrder_546 -> ()
d_Carrier_562 :: T_DecStrictPartialOrder_546 -> ()
d_Carrier_562 = T_DecStrictPartialOrder_546 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._≈_
d__'8776'__564 ::
  T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
d__'8776'__564 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
d__'8776'__564 = T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder._<_
d__'60'__566 ::
  T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
d__'60'__566 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
d__'60'__566 = T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.isDecStrictPartialOrder
d_isDecStrictPartialOrder_568 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 :: T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 T_DecStrictPartialOrder_546
v0
  = case T_DecStrictPartialOrder_546 -> T_DecStrictPartialOrder_546
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0 of
      C_DecStrictPartialOrder'46'constructor_10419 T_IsDecStrictPartialOrder_314
v4 -> T_IsDecStrictPartialOrder_314 -> T_IsDecStrictPartialOrder_314
forall a b. a -> b
coe T_IsDecStrictPartialOrder_314
v4
      T_DecStrictPartialOrder_546
_ -> T_IsDecStrictPartialOrder_314
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO._<?_
d__'60''63'__572 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'60''63'__572 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'60''63'__572 T_DecStrictPartialOrder_546
v0
  = (T_IsDecStrictPartialOrder_314 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_314 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'60''63'__328
      ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO._≟_
d__'8799'__574 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__574 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8799'__574 T_DecStrictPartialOrder_546
v0
  = (T_IsDecStrictPartialOrder_314 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_314 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__326
      ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.<-resp-≈
d_'60''45'resp'45''8776'_576 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_576 :: T_DecStrictPartialOrder_546 -> T_Σ_14
d_'60''45'resp'45''8776'_576 T_DecStrictPartialOrder_546
v0
  = (T_IsStrictPartialOrder_266 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_284
      ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
         ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.<-respʳ-≈
d_'60''45'resp'691''45''8776'_578 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_578 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_578 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3
  = T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_578 T_DecStrictPartialOrder_546
v3
du_'60''45'resp'691''45''8776'_578 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_578 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_578 T_DecStrictPartialOrder_546
v0
  = let v1 :: T_IsDecStrictPartialOrder_314
v1 = T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> T_DecStrictPartialOrder_546
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_304
         ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
            (T_IsDecStrictPartialOrder_314 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_314
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.<-respˡ-≈
d_'60''45'resp'737''45''8776'_580 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_580 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_580 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3
  = T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_580 T_DecStrictPartialOrder_546
v3
du_'60''45'resp'737''45''8776'_580 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_580 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_580 T_DecStrictPartialOrder_546
v0
  = let v1 :: T_IsDecStrictPartialOrder_314
v1 = T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> T_DecStrictPartialOrder_546
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_306
         ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
            (T_IsDecStrictPartialOrder_314 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_314
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.asym
d_asym_582 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_asym_582 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
d_asym_582 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.asymmetric
d_asymmetric_584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_asymmetric_584 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
d_asymmetric_584 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.irrefl
d_irrefl_586 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_irrefl_586 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_'8869'_4
d_irrefl_586 = T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.isEquivalence
d_isEquivalence_588 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_588 :: T_DecStrictPartialOrder_546 -> T_IsEquivalence_26
d_isEquivalence_588 T_DecStrictPartialOrder_546
v0
  = (T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
      ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
         ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.isStrictPartialOrder
d_isStrictPartialOrder_590 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
d_isStrictPartialOrder_590 :: T_DecStrictPartialOrder_546 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_590 T_DecStrictPartialOrder_546
v0
  = (T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> T_IsStrictPartialOrder_266
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
      ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.DSPO.trans
d_trans_592 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_592 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_592 T_DecStrictPartialOrder_546
v0
  = (T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_282
      ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
         ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.strictPartialOrder
d_strictPartialOrder_612 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> T_StrictPartialOrder_472
d_strictPartialOrder_612 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> T_StrictPartialOrder_472
d_strictPartialOrder_612 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3
  = T_DecStrictPartialOrder_546 -> T_StrictPartialOrder_472
du_strictPartialOrder_612 T_DecStrictPartialOrder_546
v3
du_strictPartialOrder_612 ::
  T_DecStrictPartialOrder_546 -> T_StrictPartialOrder_472
du_strictPartialOrder_612 :: T_DecStrictPartialOrder_546 -> T_StrictPartialOrder_472
du_strictPartialOrder_612 T_DecStrictPartialOrder_546
v0
  = (T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472)
-> T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
C_StrictPartialOrder'46'constructor_8957
      (T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
         ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> T_IsDecStrictPartialOrder_314
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq.decSetoid
d_decSetoid_616 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> T_DecSetoid_84
d_decSetoid_616 :: () -> () -> () -> T_DecStrictPartialOrder_546 -> T_DecSetoid_84
d_decSetoid_616 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 T_DecStrictPartialOrder_546
v3
du_decSetoid_616 :: T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 :: T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 T_DecStrictPartialOrder_546
v0
  = (T_IsDecEquivalence_44 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_DecSetoid_84
C_DecSetoid'46'constructor_1385
      ((T_IsDecStrictPartialOrder_314 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_314 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_362
         ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≈_
d__'8776'__620 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
d__'8776'__620 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> ()
d__'8776'__620 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≉_
d__'8777'__622 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> ()
d__'8777'__622 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> ()
d__'8777'__622 = ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._._≟_
d__'8799'__624 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__624 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> T_Dec_32
d__'8799'__624 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__624 T_DecStrictPartialOrder_546
v3
du__'8799'__624 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
du__'8799'__624 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__624 T_DecStrictPartialOrder_546
v0
  = (T_IsDecStrictPartialOrder_314 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_314 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__326
      ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.Carrier
d_Carrier_626 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> ()
d_Carrier_626 :: () -> () -> () -> T_DecStrictPartialOrder_546 -> ()
d_Carrier_626 = () -> () -> () -> T_DecStrictPartialOrder_546 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isDecEquivalence
d_isDecEquivalence_628 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_628 :: ()
-> () -> () -> T_DecStrictPartialOrder_546 -> T_IsDecEquivalence_44
d_isDecEquivalence_628 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> T_IsDecEquivalence_44
du_isDecEquivalence_628 T_DecStrictPartialOrder_546
v3
du_isDecEquivalence_628 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_628 :: T_DecStrictPartialOrder_546 -> T_IsDecEquivalence_44
du_isDecEquivalence_628 T_DecStrictPartialOrder_546
v0
  = (T_IsDecStrictPartialOrder_314 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsDecStrictPartialOrder_314 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_362
      ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_630 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_630 :: () -> () -> () -> T_DecStrictPartialOrder_546 -> T_IsEquivalence_26
d_isEquivalence_630 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> T_IsEquivalence_26
du_isEquivalence_630 T_DecStrictPartialOrder_546
v3
du_isEquivalence_630 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_630 :: T_DecStrictPartialOrder_546 -> T_IsEquivalence_26
du_isEquivalence_630 T_DecStrictPartialOrder_546
v0
  = (T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
      ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
         ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_632 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_632 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_632 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3
  = T_DecStrictPartialOrder_546 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_632 T_DecStrictPartialOrder_546
v3
du_isPartialEquivalence_632 ::
  T_DecStrictPartialOrder_546 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_632 :: T_DecStrictPartialOrder_546 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_632 T_DecStrictPartialOrder_546
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_546 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsDecEquivalence_44
v2 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
               (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v2))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.partialSetoid
d_partialSetoid_634 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> T_PartialSetoid_10
d_partialSetoid_634 :: () -> () -> () -> T_DecStrictPartialOrder_546 -> T_PartialSetoid_10
d_partialSetoid_634 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> T_PartialSetoid_10
du_partialSetoid_634 T_DecStrictPartialOrder_546
v3
du_partialSetoid_634 ::
  T_DecStrictPartialOrder_546 -> T_PartialSetoid_10
du_partialSetoid_634 :: T_DecStrictPartialOrder_546 -> T_PartialSetoid_10
du_partialSetoid_634 T_DecStrictPartialOrder_546
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_546 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.refl
d_refl_636 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny
d_refl_636 :: () -> () -> () -> T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny
d_refl_636 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny
du_refl_636 T_DecStrictPartialOrder_546
v3
du_refl_636 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny
du_refl_636 :: T_DecStrictPartialOrder_546 -> AgdaAny -> AgdaAny
du_refl_636 T_DecStrictPartialOrder_546
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
            ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.reflexive
d_reflexive_638 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_638 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_638 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_638 T_DecStrictPartialOrder_546
v3
du_reflexive_638 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_638 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_638 T_DecStrictPartialOrder_546
v0
  = let v1 :: t
v1 = (T_DecStrictPartialOrder_546 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsDecEquivalence_44
v2 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
                 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v2))
              AgdaAny
v3))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.setoid
d_setoid_640 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 -> T_Setoid_44
d_setoid_640 :: () -> () -> () -> T_DecStrictPartialOrder_546 -> T_Setoid_44
d_setoid_640 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546 -> T_Setoid_44
du_setoid_640 T_DecStrictPartialOrder_546
v3
du_setoid_640 :: T_DecStrictPartialOrder_546 -> T_Setoid_44
du_setoid_640 :: T_DecStrictPartialOrder_546 -> T_Setoid_44
du_setoid_640 T_DecStrictPartialOrder_546
v0
  = (T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 ((T_DecStrictPartialOrder_546 -> T_DecSetoid_84)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_DecSetoid_84
du_decSetoid_616 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.sym
d_sym_642 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_642 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_642 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_642 T_DecStrictPartialOrder_546
v3
du_sym_642 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_642 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_642 T_DecStrictPartialOrder_546
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
            ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))))
-- Relation.Binary.Bundles.DecStrictPartialOrder.Eq._.trans
d_trans_644 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_644 :: ()
-> ()
-> ()
-> T_DecStrictPartialOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_644 ~()
v0 ~()
v1 ~()
v2 T_DecStrictPartialOrder_546
v3 = T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_644 T_DecStrictPartialOrder_546
v3
du_trans_644 ::
  T_DecStrictPartialOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_644 :: T_DecStrictPartialOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_644 T_DecStrictPartialOrder_546
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecStrictPartialOrder_314 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.d_isStrictPartialOrder_324
            ((T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546 -> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_568 (T_DecStrictPartialOrder_546 -> AgdaAny
forall a b. a -> b
coe T_DecStrictPartialOrder_546
v0))))
-- Relation.Binary.Bundles.TotalOrder
d_TotalOrder_652 :: p -> p -> p -> ()
d_TotalOrder_652 p
a0 p
a1 p
a2 = ()
newtype T_TotalOrder_652
  = C_TotalOrder'46'constructor_12489 MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_384
-- Relation.Binary.Bundles.TotalOrder.Carrier
d_Carrier_668 :: T_TotalOrder_652 -> ()
d_Carrier_668 :: T_TotalOrder_652 -> ()
d_Carrier_668 = T_TotalOrder_652 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._≈_
d__'8776'__670 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8776'__670 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8776'__670 = T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._≤_
d__'8804'__672 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8804'__672 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8804'__672 = T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder.isTotalOrder
d_isTotalOrder_674 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_384
d_isTotalOrder_674 :: T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 T_TotalOrder_652
v0
  = case T_TotalOrder_652 -> T_TotalOrder_652
forall a b. a -> b
coe T_TotalOrder_652
v0 of
      C_TotalOrder'46'constructor_12489 T_IsTotalOrder_384
v4 -> T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v4
      T_TotalOrder_652
_ -> T_IsTotalOrder_384
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.TotalOrder._.antisym
d_antisym_678 ::
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_678 :: T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_678 T_TotalOrder_652
v0
  = (T_IsPartialOrder_162
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_162
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_172
      ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
         ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0)))
-- Relation.Binary.Bundles.TotalOrder._.isEquivalence
d_isEquivalence_680 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_680 :: T_TotalOrder_652 -> T_IsEquivalence_26
d_isEquivalence_680 T_TotalOrder_652
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
            ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))))
-- Relation.Binary.Bundles.TotalOrder._.isPartialOrder
d_isPartialOrder_682 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_162
d_isPartialOrder_682 :: T_TotalOrder_652 -> T_IsPartialOrder_162
d_isPartialOrder_682 T_TotalOrder_652
v0
  = (T_IsTotalOrder_384 -> T_IsPartialOrder_162)
-> AgdaAny -> T_IsPartialOrder_162
forall a b. a -> b
coe
      T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
      ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))
-- Relation.Binary.Bundles.TotalOrder._.isPreorder
d_isPreorder_684 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_684 :: T_TotalOrder_652 -> T_IsPreorder_70
d_isPreorder_684 T_TotalOrder_652
v0
  = (T_IsPartialOrder_162 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
      ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
         ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0)))
-- Relation.Binary.Bundles.TotalOrder._.isTotalPreorder
d_isTotalPreorder_686 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
d_isTotalPreorder_686 :: () -> () -> () -> T_TotalOrder_652 -> T_IsTotalPreorder_118
d_isTotalPreorder_686 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_IsTotalPreorder_118
du_isTotalPreorder_686 T_TotalOrder_652
v3
du_isTotalPreorder_686 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
du_isTotalPreorder_686 :: T_TotalOrder_652 -> T_IsTotalPreorder_118
du_isTotalPreorder_686 T_TotalOrder_652
v0
  = (T_IsTotalOrder_384 -> T_IsTotalPreorder_118)
-> AgdaAny -> T_IsTotalPreorder_118
forall a b. a -> b
coe
      T_IsTotalOrder_384 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_428
      ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))
-- Relation.Binary.Bundles.TotalOrder._.refl
d_refl_688 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> AgdaAny -> AgdaAny
d_refl_688 :: () -> () -> () -> T_TotalOrder_652 -> AgdaAny -> AgdaAny
d_refl_688 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> AgdaAny -> AgdaAny
du_refl_688 T_TotalOrder_652
v3
du_refl_688 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny
du_refl_688 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny
du_refl_688 T_TotalOrder_652
v0
  = let v1 :: T_IsTotalOrder_384
v1 = T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> T_TotalOrder_652
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                 (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.TotalOrder._.reflexive
d_reflexive_690 ::
  T_TotalOrder_652 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_690 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_690 T_TotalOrder_652
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
            ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))))
-- Relation.Binary.Bundles.TotalOrder._.total
d_total_692 ::
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_692 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_692 T_TotalOrder_652
v0
  = (T_IsTotalOrder_384 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalOrder_384 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_394
      ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))
-- Relation.Binary.Bundles.TotalOrder._.trans
d_trans_694 ::
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_694 :: T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_694 T_TotalOrder_652
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
            ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))))
-- Relation.Binary.Bundles.TotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_696 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_696 :: () -> () -> () -> T_TotalOrder_652 -> T_Σ_14
d_'8764''45'resp'45''8776'_696 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3
  = T_TotalOrder_652 -> T_Σ_14
du_'8764''45'resp'45''8776'_696 T_TotalOrder_652
v3
du_'8764''45'resp'45''8776'_696 ::
  T_TotalOrder_652 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_696 :: T_TotalOrder_652 -> T_Σ_14
du_'8764''45'resp'45''8776'_696 T_TotalOrder_652
v0
  = let v1 :: T_IsTotalOrder_384
v1 = T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> T_TotalOrder_652
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                 (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_112
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.TotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_698 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_698 :: ()
-> ()
-> ()
-> T_TotalOrder_652
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_698 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3
  = T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_698 T_TotalOrder_652
v3
du_'8764''45'resp'691''45''8776'_698 ::
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_698 :: T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_698 T_TotalOrder_652
v0
  = let v1 :: T_IsTotalOrder_384
v1 = T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> T_TotalOrder_652
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                 (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_106
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.TotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_700 :: ()
-> ()
-> ()
-> T_TotalOrder_652
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_700 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3
  = T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_700 T_TotalOrder_652
v3
du_'8764''45'resp'737''45''8776'_700 ::
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_700 :: T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_700 T_TotalOrder_652
v0
  = let v1 :: T_IsTotalOrder_384
v1 = T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> T_TotalOrder_652
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_162
v2
             = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                 (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_100
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v2))))
-- Relation.Binary.Bundles.TotalOrder.poset
d_poset_702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> T_Poset_282
d_poset_702 :: () -> () -> () -> T_TotalOrder_652 -> T_Poset_282
d_poset_702 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_Poset_282
du_poset_702 T_TotalOrder_652
v3
du_poset_702 :: T_TotalOrder_652 -> T_Poset_282
du_poset_702 :: T_TotalOrder_652 -> T_Poset_282
du_poset_702 T_TotalOrder_652
v0
  = (T_IsPartialOrder_162 -> T_Poset_282)
-> T_IsPartialOrder_162 -> T_Poset_282
forall a b. a -> b
coe
      T_IsPartialOrder_162 -> T_Poset_282
C_Poset'46'constructor_5219
      (T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
         ((T_TotalOrder_652 -> T_IsTotalOrder_384)
-> AgdaAny -> T_IsTotalOrder_384
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0)))
-- Relation.Binary.Bundles.TotalOrder._.preorder
d_preorder_706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> T_Preorder_132
d_preorder_706 :: () -> () -> () -> T_TotalOrder_652 -> T_Preorder_132
d_preorder_706 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_Preorder_132
du_preorder_706 T_TotalOrder_652
v3
du_preorder_706 :: T_TotalOrder_652 -> T_Preorder_132
du_preorder_706 :: T_TotalOrder_652 -> T_Preorder_132
du_preorder_706 T_TotalOrder_652
v0
  = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> T_Preorder_132
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 ((T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0))
-- Relation.Binary.Bundles.TotalOrder._.Eq._≈_
d__'8776'__710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8776'__710 :: () -> () -> () -> T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8776'__710 = () -> () -> () -> T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq._≉_
d__'8777'__712 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8777'__712 :: () -> () -> () -> T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
d__'8777'__712 = () -> () -> () -> T_TotalOrder_652 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.Carrier
d_Carrier_714 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_TotalOrder_652 -> ()
d_Carrier_714 :: () -> () -> () -> T_TotalOrder_652 -> ()
d_Carrier_714 = () -> () -> () -> T_TotalOrder_652 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.TotalOrder._.Eq.isEquivalence
d_isEquivalence_716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_716 :: () -> () -> () -> T_TotalOrder_652 -> T_IsEquivalence_26
d_isEquivalence_716 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_IsEquivalence_26
du_isEquivalence_716 T_TotalOrder_652
v3
du_isEquivalence_716 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_716 :: T_TotalOrder_652 -> T_IsEquivalence_26
du_isEquivalence_716 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_718 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_718 :: () -> () -> () -> T_TotalOrder_652 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_718 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3
  = T_TotalOrder_652 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_718 T_TotalOrder_652
v3
du_isPartialEquivalence_718 ::
  T_TotalOrder_652 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_718 :: T_TotalOrder_652 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_718 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
               ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.partialSetoid
d_partialSetoid_720 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> T_PartialSetoid_10
d_partialSetoid_720 :: () -> () -> () -> T_TotalOrder_652 -> T_PartialSetoid_10
d_partialSetoid_720 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_PartialSetoid_10
du_partialSetoid_720 T_TotalOrder_652
v3
du_partialSetoid_720 :: T_TotalOrder_652 -> T_PartialSetoid_10
du_partialSetoid_720 :: T_TotalOrder_652 -> T_PartialSetoid_10
du_partialSetoid_720 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.refl
d_refl_722 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> AgdaAny -> AgdaAny
d_refl_722 :: () -> () -> () -> T_TotalOrder_652 -> AgdaAny -> AgdaAny
d_refl_722 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> AgdaAny -> AgdaAny
du_refl_722 T_TotalOrder_652
v3
du_refl_722 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny
du_refl_722 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny
du_refl_722 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
            ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.reflexive
d_reflexive_724 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_724 :: ()
-> ()
-> ()
-> T_TotalOrder_652
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_724 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_724 T_TotalOrder_652
v3
du_reflexive_724 ::
  T_TotalOrder_652 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_724 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_724 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: t
v3 = (T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
                 ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v3)) AgdaAny
v4)))
-- Relation.Binary.Bundles.TotalOrder._.Eq.setoid
d_setoid_726 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> T_Setoid_44
d_setoid_726 :: () -> () -> () -> T_TotalOrder_652 -> T_Setoid_44
d_setoid_726 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_Setoid_44
du_setoid_726 T_TotalOrder_652
v3
du_setoid_726 :: T_TotalOrder_652 -> T_Setoid_44
du_setoid_726 :: T_TotalOrder_652 -> T_Setoid_44
du_setoid_726 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> T_Setoid_44
forall a b. a -> b
coe ((T_Preorder_132 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_Setoid_44
du_setoid_174 ((T_Poset_282 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.TotalOrder._.Eq.sym
d_sym_728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_728 :: ()
-> ()
-> ()
-> T_TotalOrder_652
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_728 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_728 T_TotalOrder_652
v3
du_sym_728 ::
  T_TotalOrder_652 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_728 :: T_TotalOrder_652 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_728 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
            ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.TotalOrder._.Eq.trans
d_trans_730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_730 :: ()
-> ()
-> ()
-> T_TotalOrder_652
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_730 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_730 T_TotalOrder_652
v3
du_trans_730 ::
  T_TotalOrder_652 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_730 :: T_TotalOrder_652
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_730 T_TotalOrder_652
v0
  = let v1 :: t
v1 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> t
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_Poset_282 -> T_Preorder_132) -> AgdaAny -> t
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
            ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
               ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Preorder_132 -> T_IsPreorder_70
d_isPreorder_154 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)))))
-- Relation.Binary.Bundles.TotalOrder.totalPreorder
d_totalPreorder_732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_TotalOrder_652 -> T_TotalPreorder_204
d_totalPreorder_732 :: () -> () -> () -> T_TotalOrder_652 -> T_TotalPreorder_204
d_totalPreorder_732 ~()
v0 ~()
v1 ~()
v2 T_TotalOrder_652
v3 = T_TotalOrder_652 -> T_TotalPreorder_204
du_totalPreorder_732 T_TotalOrder_652
v3
du_totalPreorder_732 :: T_TotalOrder_652 -> T_TotalPreorder_204
du_totalPreorder_732 :: T_TotalOrder_652 -> T_TotalPreorder_204
du_totalPreorder_732 T_TotalOrder_652
v0
  = (T_IsTotalPreorder_118 -> T_TotalPreorder_204)
-> AgdaAny -> T_TotalPreorder_204
forall a b. a -> b
coe
      T_IsTotalPreorder_118 -> T_TotalPreorder_204
C_TotalPreorder'46'constructor_3669
      ((T_IsTotalOrder_384 -> T_IsTotalPreorder_118) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_384 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_428
         ((T_TotalOrder_652 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_IsTotalOrder_384
d_isTotalOrder_674 (T_TotalOrder_652 -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652
v0)))
-- Relation.Binary.Bundles.DecTotalOrder
d_DecTotalOrder_740 :: p -> p -> p -> ()
d_DecTotalOrder_740 p
a0 p
a1 p
a2 = ()
newtype T_DecTotalOrder_740
  = C_DecTotalOrder'46'constructor_14337 MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_434
-- Relation.Binary.Bundles.DecTotalOrder.Carrier
d_Carrier_756 :: T_DecTotalOrder_740 -> ()
d_Carrier_756 :: T_DecTotalOrder_740 -> ()
d_Carrier_756 = T_DecTotalOrder_740 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._≈_
d__'8776'__758 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8776'__758 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8776'__758 = T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._≤_
d__'8804'__760 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8804'__760 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8804'__760 = T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder.isDecTotalOrder
d_isDecTotalOrder_762 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecTotalOrder_434
d_isDecTotalOrder_762 :: T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 T_DecTotalOrder_740
v0
  = case T_DecTotalOrder_740 -> T_DecTotalOrder_740
forall a b. a -> b
coe T_DecTotalOrder_740
v0 of
      C_DecTotalOrder'46'constructor_14337 T_IsDecTotalOrder_434
v4 -> T_IsDecTotalOrder_434 -> T_IsDecTotalOrder_434
forall a b. a -> b
coe T_IsDecTotalOrder_434
v4
      T_DecTotalOrder_740
_ -> T_IsDecTotalOrder_434
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.DecTotalOrder.DTO._≟_
d__'8799'__766 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__766 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8799'__766 T_DecTotalOrder_740
v0
  = (T_IsDecTotalOrder_434 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecTotalOrder_434 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__446
      ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO._≤?_
d__'8804''63'__768 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8804''63'__768 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> T_Dec_32
d__'8804''63'__768 T_DecTotalOrder_740
v0
  = (T_IsDecTotalOrder_434 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsDecTotalOrder_434 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8804''63'__448
      ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.antisym
d_antisym_770 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_770 :: T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_770 T_DecTotalOrder_740
v0
  = (T_IsPartialOrder_162
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_162
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_172
      ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
         ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
            ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isDecPartialOrder
d_isDecPartialOrder_772 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_206
d_isDecPartialOrder_772 :: () -> () -> () -> T_DecTotalOrder_740 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_772 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3
  = T_DecTotalOrder_740 -> T_IsDecPartialOrder_206
du_isDecPartialOrder_772 T_DecTotalOrder_740
v3
du_isDecPartialOrder_772 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecPartialOrder_206
du_isDecPartialOrder_772 :: T_DecTotalOrder_740 -> T_IsDecPartialOrder_206
du_isDecPartialOrder_772 T_DecTotalOrder_740
v0
  = (T_IsDecTotalOrder_434 -> T_IsDecPartialOrder_206)
-> AgdaAny -> T_IsDecPartialOrder_206
forall a b. a -> b
coe
      T_IsDecTotalOrder_434 -> T_IsDecPartialOrder_206
MAlonzo.Code.Relation.Binary.Structures.du_isDecPartialOrder_476
      ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isEquivalence
d_isEquivalence_774 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_774 :: T_DecTotalOrder_740 -> T_IsEquivalence_26
d_isEquivalence_774 T_DecTotalOrder_740
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
            ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
               ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isPartialOrder
d_isPartialOrder_776 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_162
d_isPartialOrder_776 :: T_DecTotalOrder_740 -> T_IsPartialOrder_162
d_isPartialOrder_776 T_DecTotalOrder_740
v0
  = (T_IsTotalOrder_384 -> T_IsPartialOrder_162)
-> AgdaAny -> T_IsPartialOrder_162
forall a b. a -> b
coe
      T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
      ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
         ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isPreorder
d_isPreorder_778 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_isPreorder_778 :: T_DecTotalOrder_740 -> T_IsPreorder_70
d_isPreorder_778 T_DecTotalOrder_740
v0
  = (T_IsPartialOrder_162 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
      ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
         ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
            ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isTotalOrder
d_isTotalOrder_780 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalOrder_384
d_isTotalOrder_780 :: T_DecTotalOrder_740 -> T_IsTotalOrder_384
d_isTotalOrder_780 T_DecTotalOrder_740
v0
  = (T_IsDecTotalOrder_434 -> T_IsTotalOrder_384)
-> AgdaAny -> T_IsTotalOrder_384
forall a b. a -> b
coe
      T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
      ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.isTotalPreorder
d_isTotalPreorder_782 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
d_isTotalPreorder_782 :: () -> () -> () -> T_DecTotalOrder_740 -> T_IsTotalPreorder_118
d_isTotalPreorder_782 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_IsTotalPreorder_118
du_isTotalPreorder_782 T_DecTotalOrder_740
v3
du_isTotalPreorder_782 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsTotalPreorder_118
du_isTotalPreorder_782 :: T_DecTotalOrder_740 -> T_IsTotalPreorder_118
du_isTotalPreorder_782 T_DecTotalOrder_740
v0
  = let v1 :: T_IsDecTotalOrder_434
v1 = T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> T_DecTotalOrder_740
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_IsTotalPreorder_118
forall a b. a -> b
coe
      ((T_IsTotalOrder_384 -> T_IsTotalPreorder_118) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsTotalOrder_384 -> T_IsTotalPreorder_118
MAlonzo.Code.Relation.Binary.Structures.du_isTotalPreorder_428
         ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
            (T_IsDecTotalOrder_434 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_434
v1)))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.refl
d_refl_784 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
d_refl_784 :: () -> () -> () -> T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
d_refl_784 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
du_refl_784 T_DecTotalOrder_740
v3
du_refl_784 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
du_refl_784 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
du_refl_784 T_DecTotalOrder_740
v0
  = let v1 :: T_IsDecTotalOrder_434
v1 = T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> T_DecTotalOrder_740
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsTotalOrder_384
v2
             = T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
                 (T_IsDecTotalOrder_434 -> T_IsDecTotalOrder_434
forall a b. a -> b
coe T_IsDecTotalOrder_434
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_162
v3
                = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                    (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_refl_98
               ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
                  (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.reflexive
d_reflexive_786 ::
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_786 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_786 T_DecTotalOrder_740
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
            ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
               ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.total
d_total_788 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_788 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_788 T_DecTotalOrder_740
v0
  = (T_IsTotalOrder_384 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
      T_IsTotalOrder_384 -> AgdaAny -> AgdaAny -> T__'8846'__30
MAlonzo.Code.Relation.Binary.Structures.d_total_394
      ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
         ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.trans
d_trans_790 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_790 :: T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_790 T_DecTotalOrder_740
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84
      ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
         ((T_IsTotalOrder_384 -> T_IsPartialOrder_162) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
            ((T_IsDecTotalOrder_434 -> T_IsTotalOrder_384) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
               ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.∼-resp-≈
d_'8764''45'resp'45''8776'_792 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_792 :: () -> () -> () -> T_DecTotalOrder_740 -> T_Σ_14
d_'8764''45'resp'45''8776'_792 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3
  = T_DecTotalOrder_740 -> T_Σ_14
du_'8764''45'resp'45''8776'_792 T_DecTotalOrder_740
v3
du_'8764''45'resp'45''8776'_792 ::
  T_DecTotalOrder_740 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_792 :: T_DecTotalOrder_740 -> T_Σ_14
du_'8764''45'resp'45''8776'_792 T_DecTotalOrder_740
v0
  = let v1 :: T_IsDecTotalOrder_434
v1 = T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> T_DecTotalOrder_740
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsTotalOrder_384
v2
             = T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
                 (T_IsDecTotalOrder_434 -> T_IsDecTotalOrder_434
forall a b. a -> b
coe T_IsDecTotalOrder_434
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_162
v3
                = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                    (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'45''8776'_112
               ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
                  (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_794 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_794 :: ()
-> ()
-> ()
-> T_DecTotalOrder_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_794 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3
  = T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_794 T_DecTotalOrder_740
v3
du_'8764''45'resp'691''45''8776'_794 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_794 :: T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_794 T_DecTotalOrder_740
v0
  = let v1 :: T_IsDecTotalOrder_434
v1 = T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> T_DecTotalOrder_740
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsTotalOrder_384
v2
             = T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
                 (T_IsDecTotalOrder_434 -> T_IsDecTotalOrder_434
forall a b. a -> b
coe T_IsDecTotalOrder_434
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_162
v3
                = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                    (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'691''45''8776'_106
               ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
                  (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder.DTO.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_796 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_796 :: ()
-> ()
-> ()
-> T_DecTotalOrder_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_796 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3
  = T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_796 T_DecTotalOrder_740
v3
du_'8764''45'resp'737''45''8776'_796 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_796 :: T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_796 T_DecTotalOrder_740
v0
  = let v1 :: T_IsDecTotalOrder_434
v1 = T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> T_DecTotalOrder_740
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsTotalOrder_384
v2
             = T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
                 (T_IsDecTotalOrder_434 -> T_IsDecTotalOrder_434
forall a b. a -> b
coe T_IsDecTotalOrder_434
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsPartialOrder_162
v3
                = T_IsTotalOrder_384 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_392
                    (T_IsTotalOrder_384 -> T_IsTotalOrder_384
forall a b. a -> b
coe T_IsTotalOrder_384
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'8764''45'resp'737''45''8776'_100
               ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
                  (T_IsPartialOrder_162 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_162
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder.totalOrder
d_totalOrder_816 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_TotalOrder_652
d_totalOrder_816 :: () -> () -> () -> T_DecTotalOrder_740 -> T_TotalOrder_652
d_totalOrder_816 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_TotalOrder_652
du_totalOrder_816 T_DecTotalOrder_740
v3
du_totalOrder_816 :: T_DecTotalOrder_740 -> T_TotalOrder_652
du_totalOrder_816 :: T_DecTotalOrder_740 -> T_TotalOrder_652
du_totalOrder_816 T_DecTotalOrder_740
v0
  = (T_IsTotalOrder_384 -> T_TotalOrder_652)
-> T_IsTotalOrder_384 -> T_TotalOrder_652
forall a b. a -> b
coe
      T_IsTotalOrder_384 -> T_TotalOrder_652
C_TotalOrder'46'constructor_12489
      (T_IsDecTotalOrder_434 -> T_IsTotalOrder_384
MAlonzo.Code.Relation.Binary.Structures.d_isTotalOrder_444
         ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> T_IsDecTotalOrder_434
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.poset
d_poset_820 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_Poset_282
d_poset_820 :: () -> () -> () -> T_DecTotalOrder_740 -> T_Poset_282
d_poset_820 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_Poset_282
du_poset_820 T_DecTotalOrder_740
v3
du_poset_820 :: T_DecTotalOrder_740 -> T_Poset_282
du_poset_820 :: T_DecTotalOrder_740 -> T_Poset_282
du_poset_820 T_DecTotalOrder_740
v0 = (T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> T_Poset_282
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 ((T_DecTotalOrder_740 -> T_TotalOrder_652) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_TotalOrder_652
du_totalOrder_816 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.preorder
d_preorder_822 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_Preorder_132
d_preorder_822 :: () -> () -> () -> T_DecTotalOrder_740 -> T_Preorder_132
d_preorder_822 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_Preorder_132
du_preorder_822 T_DecTotalOrder_740
v3
du_preorder_822 :: T_DecTotalOrder_740 -> T_Preorder_132
du_preorder_822 :: T_DecTotalOrder_740 -> T_Preorder_132
du_preorder_822 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_TotalOrder_652) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_TotalOrder_652
du_totalOrder_816 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_Preorder_132
forall a b. a -> b
coe ((T_Poset_282 -> T_Preorder_132) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Poset_282 -> T_Preorder_132
du_preorder_326 ((T_TotalOrder_652 -> T_Poset_282) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_TotalOrder_652 -> T_Poset_282
du_poset_702 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder.decPoset
d_decPoset_824 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_DecPoset_360
d_decPoset_824 :: () -> () -> () -> T_DecTotalOrder_740 -> T_DecPoset_360
d_decPoset_824 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 T_DecTotalOrder_740
v3
du_decPoset_824 :: T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 :: T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 T_DecTotalOrder_740
v0
  = (T_IsDecPartialOrder_206 -> T_DecPoset_360)
-> AgdaAny -> T_DecPoset_360
forall a b. a -> b
coe
      T_IsDecPartialOrder_206 -> T_DecPoset_360
C_DecPoset'46'constructor_6777
      ((T_IsDecTotalOrder_434 -> T_IsDecPartialOrder_206)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecTotalOrder_434 -> T_IsDecPartialOrder_206
MAlonzo.Code.Relation.Binary.Structures.du_isDecPartialOrder_476
         ((T_DecTotalOrder_740 -> T_IsDecTotalOrder_434)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_IsDecTotalOrder_434
d_isDecTotalOrder_762 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≈_
d__'8776'__830 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8776'__830 :: () -> () -> () -> T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8776'__830 = () -> () -> () -> T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≉_
d__'8777'__832 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8777'__832 :: () -> () -> () -> T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
d__'8777'__832 = () -> () -> () -> T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq._≟_
d__'8799'__834 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__834 :: ()
-> ()
-> ()
-> T_DecTotalOrder_740
-> AgdaAny
-> AgdaAny
-> T_Dec_32
d__'8799'__834 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__834 T_DecTotalOrder_740
v3
du__'8799'__834 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
du__'8799'__834 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__834 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      ((T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_206 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__218
         ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.Carrier
d_Carrier_836 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 -> T_DecTotalOrder_740 -> ()
d_Carrier_836 :: () -> () -> () -> T_DecTotalOrder_740 -> ()
d_Carrier_836 = () -> () -> () -> T_DecTotalOrder_740 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.decSetoid
d_decSetoid_838 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_DecSetoid_84
d_decSetoid_838 :: () -> () -> () -> T_DecTotalOrder_740 -> T_DecSetoid_84
d_decSetoid_838 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_DecSetoid_84
du_decSetoid_838 T_DecTotalOrder_740
v3
du_decSetoid_838 :: T_DecTotalOrder_740 -> T_DecSetoid_84
du_decSetoid_838 :: T_DecTotalOrder_740 -> T_DecSetoid_84
du_decSetoid_838 T_DecTotalOrder_740
v0
  = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 ((T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isDecEquivalence
d_isDecEquivalence_840 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_840 :: () -> () -> () -> T_DecTotalOrder_740 -> T_IsDecEquivalence_44
d_isDecEquivalence_840 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_IsDecEquivalence_44
du_isDecEquivalence_840 T_DecTotalOrder_740
v3
du_isDecEquivalence_840 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_840 :: T_DecTotalOrder_740 -> T_IsDecEquivalence_44
du_isDecEquivalence_840 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      ((T_IsDecPartialOrder_206 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecPartialOrder_206 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_244
         ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isEquivalence
d_isEquivalence_842 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_842 :: () -> () -> () -> T_DecTotalOrder_740 -> T_IsEquivalence_26
d_isEquivalence_842 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_IsEquivalence_26
du_isEquivalence_842 T_DecTotalOrder_740
v3
du_isEquivalence_842 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_842 :: T_DecTotalOrder_740 -> T_IsEquivalence_26
du_isEquivalence_842 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
         ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
            ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
               ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_844 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_844 :: () -> () -> () -> T_DecTotalOrder_740 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_844 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3
  = T_DecTotalOrder_740 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_844 T_DecTotalOrder_740
v3
du_isPartialEquivalence_844 ::
  T_DecTotalOrder_740 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_844 :: T_DecTotalOrder_740 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_844 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsDecEquivalence_44
v3 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
               ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
                  (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v3)))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.partialSetoid
d_partialSetoid_846 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_PartialSetoid_10
d_partialSetoid_846 :: () -> () -> () -> T_DecTotalOrder_740 -> T_PartialSetoid_10
d_partialSetoid_846 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_PartialSetoid_10
du_partialSetoid_846 T_DecTotalOrder_740
v3
du_partialSetoid_846 :: T_DecTotalOrder_740 -> T_PartialSetoid_10
du_partialSetoid_846 :: T_DecTotalOrder_740 -> T_PartialSetoid_10
du_partialSetoid_846 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.refl
d_refl_848 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
d_refl_848 :: () -> () -> () -> T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
d_refl_848 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
du_refl_848 T_DecTotalOrder_740
v3
du_refl_848 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
du_refl_848 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny
du_refl_848 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                  ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.reflexive
d_reflexive_850 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_850 :: ()
-> ()
-> ()
-> T_DecTotalOrder_740
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_850 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_850 T_DecTotalOrder_740
v3
du_reflexive_850 ::
  T_DecTotalOrder_740 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_850 :: T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_850 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> t
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: T_IsDecEquivalence_44
v3 = T_DecSetoid_84 -> T_IsDecEquivalence_44
d_isDecEquivalence_100 (AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe AgdaAny
forall a. a
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                 T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
                 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                    T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
                    (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v3))
                 AgdaAny
v4)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.setoid
d_setoid_852 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> T_Setoid_44
d_setoid_852 :: () -> () -> () -> T_DecTotalOrder_740 -> T_Setoid_44
d_setoid_852 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> T_Setoid_44
du_setoid_852 T_DecTotalOrder_740
v3
du_setoid_852 :: T_DecTotalOrder_740 -> T_Setoid_44
du_setoid_852 :: T_DecTotalOrder_740 -> T_Setoid_44
du_setoid_852 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> T_Setoid_44
forall a b. a -> b
coe ((T_DecSetoid_84 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84 -> T_Setoid_44
du_setoid_118 ((T_DecPoset_360 -> T_DecSetoid_84) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_DecSetoid_84
du_decSetoid_436 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.sym
d_sym_854 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_854 :: ()
-> ()
-> ()
-> T_DecTotalOrder_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_854 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_854 T_DecTotalOrder_740
v3
du_sym_854 ::
  T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_854 :: T_DecTotalOrder_740 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_854 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                  ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))))
-- Relation.Binary.Bundles.DecTotalOrder._.Eq.trans
d_trans_856 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_856 :: ()
-> ()
-> ()
-> T_DecTotalOrder_740
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_856 ~()
v0 ~()
v1 ~()
v2 T_DecTotalOrder_740
v3 = T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_856 T_DecTotalOrder_740
v3
du_trans_856 ::
  T_DecTotalOrder_740 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_856 :: T_DecTotalOrder_740
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_856 T_DecTotalOrder_740
v0
  = let v1 :: t
v1 = (T_DecTotalOrder_740 -> T_DecPoset_360) -> AgdaAny -> t
forall a b. a -> b
coe T_DecTotalOrder_740 -> T_DecPoset_360
du_decPoset_824 (T_DecTotalOrder_740 -> AgdaAny
forall a b. a -> b
coe T_DecTotalOrder_740
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            ((T_IsPartialOrder_162 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsPartialOrder_162 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_170
               ((T_IsDecPartialOrder_206 -> T_IsPartialOrder_162)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                  T_IsDecPartialOrder_206 -> T_IsPartialOrder_162
MAlonzo.Code.Relation.Binary.Structures.d_isPartialOrder_216
                  ((T_DecPoset_360 -> T_IsDecPartialOrder_206) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_DecPoset_360 -> T_IsDecPartialOrder_206
d_isDecPartialOrder_382 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))))
-- Relation.Binary.Bundles.StrictTotalOrder
d_StrictTotalOrder_864 :: p -> p -> p -> ()
d_StrictTotalOrder_864 p
a0 p
a1 p
a2 = ()
newtype T_StrictTotalOrder_864
  = C_StrictTotalOrder'46'constructor_16739 MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_502
-- Relation.Binary.Bundles.StrictTotalOrder.Carrier
d_Carrier_880 :: T_StrictTotalOrder_864 -> ()
d_Carrier_880 :: T_StrictTotalOrder_864 -> ()
d_Carrier_880 = T_StrictTotalOrder_864 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._≈_
d__'8776'__882 ::
  T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'8776'__882 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'8776'__882 = T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._<_
d__'60'__884 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'60'__884 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'60'__884 = T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder.isStrictTotalOrder
d_isStrictTotalOrder_886 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 :: T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 T_StrictTotalOrder_864
v0
  = case T_StrictTotalOrder_864 -> T_StrictTotalOrder_864
forall a b. a -> b
coe T_StrictTotalOrder_864
v0 of
      C_StrictTotalOrder'46'constructor_16739 T_IsStrictTotalOrder_502
v4 -> T_IsStrictTotalOrder_502 -> T_IsStrictTotalOrder_502
forall a b. a -> b
coe T_IsStrictTotalOrder_502
v4
      T_StrictTotalOrder_864
_ -> T_IsStrictTotalOrder_502
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Bundles.StrictTotalOrder._._<?_
d__'60''63'__890 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'60''63'__890 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> T_Dec_32
d__'60''63'__890 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'60''63'__890 T_StrictTotalOrder_864
v3
du__'60''63'__890 ::
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
du__'60''63'__890 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'60''63'__890 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.du__'60''63'__520
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._._≟_
d__'8799'__892 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
d__'8799'__892 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> T_Dec_32
d__'8799'__892 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__892 T_StrictTotalOrder_864
v3
du__'8799'__892 ::
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Relation.Nullary.T_Dec_32
du__'8799'__892 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> T_Dec_32
du__'8799'__892 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Dec_32)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_32
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Dec_32
MAlonzo.Code.Relation.Binary.Structures.du__'8799'__518
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-resp-≈
d_'60''45'resp'45''8776'_894 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_894 :: () -> () -> () -> T_StrictTotalOrder_864 -> T_Σ_14
d_'60''45'resp'45''8776'_894 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864 -> T_Σ_14
du_'60''45'resp'45''8776'_894 T_StrictTotalOrder_864
v3
du_'60''45'resp'45''8776'_894 ::
  T_StrictTotalOrder_864 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'60''45'resp'45''8776'_894 :: T_StrictTotalOrder_864 -> T_Σ_14
du_'60''45'resp'45''8776'_894 T_StrictTotalOrder_864
v0
  = let v1 :: T_IsStrictTotalOrder_502
v1 = T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> T_StrictTotalOrder_864
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (((AgdaAny -> AgdaAny -> T_Tri_136) -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> T_Tri_136) -> T_Σ_14
MAlonzo.Code.Relation.Binary.Consequences.du_trans'8743'tri'8658'resp_650
         ((T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Tri_136)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Tri_136
MAlonzo.Code.Relation.Binary.Structures.d_compare_516 (T_IsStrictTotalOrder_502 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_502
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_896 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_896 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_896 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_896 T_StrictTotalOrder_864
v3
du_'60''45'resp'691''45''8776'_896 ::
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_896 :: T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_896 T_StrictTotalOrder_864
v0
  = let v1 :: T_IsStrictTotalOrder_502
v1 = T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> T_StrictTotalOrder_864
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'691''45''8776'_304
         ((T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.du_isStrictPartialOrder_540
            (T_IsStrictTotalOrder_502 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_502
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_898 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_898 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_898 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_898 T_StrictTotalOrder_864
v3
du_'60''45'resp'737''45''8776'_898 ::
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_898 :: T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_898 T_StrictTotalOrder_864
v0
  = let v1 :: T_IsStrictTotalOrder_502
v1 = T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> T_StrictTotalOrder_864
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_266
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_'60''45'resp'737''45''8776'_306
         ((T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.du_isStrictPartialOrder_540
            (T_IsStrictTotalOrder_502 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_502
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.asym
d_asym_900 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_asym_900 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
d_asym_900 = ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.compare
d_compare_902 ::
  T_StrictTotalOrder_864 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_136
d_compare_902 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> T_Tri_136
d_compare_902 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Tri_136)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_136
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> AgdaAny -> AgdaAny -> T_Tri_136
MAlonzo.Code.Relation.Binary.Structures.d_compare_516
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.irrefl
d_irrefl_904 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Empty.T_'8869'_4
d_irrefl_904 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
d_irrefl_904 = ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_'8869'_4
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.isDecEquivalence
d_isDecEquivalence_906 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_isDecEquivalence_906 :: () -> () -> () -> T_StrictTotalOrder_864 -> T_IsDecEquivalence_44
d_isDecEquivalence_906 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> T_IsDecEquivalence_44
du_isDecEquivalence_906 T_StrictTotalOrder_864
v3
du_isDecEquivalence_906 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_isDecEquivalence_906 :: T_StrictTotalOrder_864 -> T_IsDecEquivalence_44
du_isDecEquivalence_906 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_522
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_908 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_908 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> T_IsDecStrictPartialOrder_314
d_isDecStrictPartialOrder_908 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864 -> T_IsDecStrictPartialOrder_314
du_isDecStrictPartialOrder_908 T_StrictTotalOrder_864
v3
du_isDecStrictPartialOrder_908 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecStrictPartialOrder_314
du_isDecStrictPartialOrder_908 :: T_StrictTotalOrder_864 -> T_IsDecStrictPartialOrder_314
du_isDecStrictPartialOrder_908 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> T_IsDecStrictPartialOrder_314)
-> AgdaAny -> T_IsDecStrictPartialOrder_314
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> T_IsDecStrictPartialOrder_314
MAlonzo.Code.Relation.Binary.Structures.du_isDecStrictPartialOrder_542
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isEquivalence
d_isEquivalence_910 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_910 :: T_StrictTotalOrder_864 -> T_IsEquivalence_26
d_isEquivalence_910 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_512
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.isStrictPartialOrder
d_isStrictPartialOrder_912 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
d_isStrictPartialOrder_912 :: ()
-> () -> () -> T_StrictTotalOrder_864 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_912 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864 -> T_IsStrictPartialOrder_266
du_isStrictPartialOrder_912 T_StrictTotalOrder_864
v3
du_isStrictPartialOrder_912 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_266
du_isStrictPartialOrder_912 :: T_StrictTotalOrder_864 -> T_IsStrictPartialOrder_266
du_isStrictPartialOrder_912 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> T_IsStrictPartialOrder_266
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.du_isStrictPartialOrder_540
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.trans
d_trans_914 ::
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_914 :: T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_914 T_StrictTotalOrder_864
v0
  = (T_IsStrictTotalOrder_502
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictTotalOrder_502
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_514
      ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder.strictPartialOrder
d_strictPartialOrder_916 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
d_strictPartialOrder_916 :: ()
-> () -> () -> T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
d_strictPartialOrder_916 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 T_StrictTotalOrder_864
v3
du_strictPartialOrder_916 ::
  T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 :: T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 T_StrictTotalOrder_864
v0
  = (T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472)
-> AgdaAny -> T_StrictPartialOrder_472
forall a b. a -> b
coe
      T_IsStrictPartialOrder_266 -> T_StrictPartialOrder_472
C_StrictPartialOrder'46'constructor_8957
      ((T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_502 -> T_IsStrictPartialOrder_266
MAlonzo.Code.Relation.Binary.Structures.du_isStrictPartialOrder_540
         ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≈_
d__'8776'__922 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'8776'__922 :: ()
-> () -> () -> T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'8776'__922 = ()
-> () -> () -> T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq._≉_
d__'8777'__924 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'8777'__924 :: ()
-> () -> () -> T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
d__'8777'__924 = ()
-> () -> () -> T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.Carrier
d_Carrier_926 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> ()
d_Carrier_926 :: () -> () -> () -> T_StrictTotalOrder_864 -> ()
d_Carrier_926 = () -> () -> () -> T_StrictTotalOrder_864 -> ()
forall a. a
erased
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isEquivalence
d_isEquivalence_928 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_isEquivalence_928 :: () -> () -> () -> T_StrictTotalOrder_864 -> T_IsEquivalence_26
d_isEquivalence_928 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> T_IsEquivalence_26
du_isEquivalence_928 T_StrictTotalOrder_864
v3
du_isEquivalence_928 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_isEquivalence_928 :: T_StrictTotalOrder_864 -> T_IsEquivalence_26
du_isEquivalence_928 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
         ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_930 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
d_isPartialEquivalence_930 :: ()
-> () -> () -> T_StrictTotalOrder_864 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_930 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3
  = T_StrictTotalOrder_864 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_930 T_StrictTotalOrder_864
v3
du_isPartialEquivalence_930 ::
  T_StrictTotalOrder_864 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialEquivalence_16
du_isPartialEquivalence_930 :: T_StrictTotalOrder_864 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_930 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_26 -> T_IsPartialEquivalence_16
MAlonzo.Code.Relation.Binary.Structures.du_isPartialEquivalence_42
            ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.partialSetoid
d_partialSetoid_932 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> T_PartialSetoid_10
d_partialSetoid_932 :: () -> () -> () -> T_StrictTotalOrder_864 -> T_PartialSetoid_10
d_partialSetoid_932 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> T_PartialSetoid_10
du_partialSetoid_932 T_StrictTotalOrder_864
v3
du_partialSetoid_932 ::
  T_StrictTotalOrder_864 -> T_PartialSetoid_10
du_partialSetoid_932 :: T_StrictTotalOrder_864 -> T_PartialSetoid_10
du_partialSetoid_932 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> T_PartialSetoid_10
forall a b. a -> b
coe ((T_Setoid_44 -> T_PartialSetoid_10) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_PartialSetoid_10
du_partialSetoid_74 ((T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.refl
d_refl_934 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny
d_refl_934 :: () -> () -> () -> T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny
d_refl_934 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny
du_refl_934 T_StrictTotalOrder_864
v3
du_refl_934 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny
du_refl_934 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny
du_refl_934 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34
         ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
            ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.reflexive
d_reflexive_936 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_936 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_936 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_936 T_StrictTotalOrder_864
v3
du_reflexive_936 ::
  T_StrictTotalOrder_864 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_936 :: T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_936 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> t
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.du_reflexive_40
              ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_Setoid_44 -> T_IsEquivalence_26
d_isEquivalence_60 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.setoid
d_setoid_938 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> T_Setoid_44
d_setoid_938 :: () -> () -> () -> T_StrictTotalOrder_864 -> T_Setoid_44
d_setoid_938 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> T_Setoid_44
du_setoid_938 T_StrictTotalOrder_864
v3
du_setoid_938 :: T_StrictTotalOrder_864 -> T_Setoid_44
du_setoid_938 :: T_StrictTotalOrder_864 -> T_Setoid_44
du_setoid_938 T_StrictTotalOrder_864
v0
  = (T_StrictPartialOrder_472 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_Setoid_44
du_setoid_516 ((T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.sym
d_sym_940 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_940 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_940 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_940 T_StrictTotalOrder_864
v3
du_sym_940 ::
  T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_940 :: T_StrictTotalOrder_864 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_940 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36
         ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
            ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.StrictTotalOrder._.Eq.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_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_942 :: ()
-> ()
-> ()
-> T_StrictTotalOrder_864
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_942 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_942 T_StrictTotalOrder_864
v3
du_trans_942 ::
  T_StrictTotalOrder_864 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_942 :: T_StrictTotalOrder_864
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_942 T_StrictTotalOrder_864
v0
  = let v1 :: t
v1 = (T_StrictTotalOrder_864 -> T_StrictPartialOrder_472)
-> AgdaAny -> t
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_StrictPartialOrder_472
du_strictPartialOrder_916 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38
         ((T_IsStrictPartialOrder_266 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_266 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_278
            ((T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_472 -> T_IsStrictPartialOrder_266
d_isStrictPartialOrder_494 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1))))
-- Relation.Binary.Bundles.StrictTotalOrder.decSetoid
d_decSetoid_944 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  T_StrictTotalOrder_864 -> T_DecSetoid_84
d_decSetoid_944 :: () -> () -> () -> T_StrictTotalOrder_864 -> T_DecSetoid_84
d_decSetoid_944 ~()
v0 ~()
v1 ~()
v2 T_StrictTotalOrder_864
v3 = T_StrictTotalOrder_864 -> T_DecSetoid_84
du_decSetoid_944 T_StrictTotalOrder_864
v3
du_decSetoid_944 :: T_StrictTotalOrder_864 -> T_DecSetoid_84
du_decSetoid_944 :: T_StrictTotalOrder_864 -> T_DecSetoid_84
du_decSetoid_944 T_StrictTotalOrder_864
v0
  = (T_IsDecEquivalence_44 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_DecSetoid_84
C_DecSetoid'46'constructor_1385
      ((T_IsStrictTotalOrder_502 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_502 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Structures.du_isDecEquivalence_522
         ((T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864 -> T_IsStrictTotalOrder_502
d_isStrictTotalOrder_886 (T_StrictTotalOrder_864 -> AgdaAny
forall a b. a -> b
coe T_StrictTotalOrder_864
v0)))