{-# 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.Structures where

import MAlonzo.RTE (coe, erased, AgdaAny, addInt, subInt, mulInt,
                    quotInt, remInt, geqInt, ltInt, eqInt, add64, sub64, mul64, quot64,
                    rem64, lt64, eq64, word64FromNat, word64ToNat)
import qualified MAlonzo.RTE
import qualified Data.Text
import qualified MAlonzo.Code.Agda.Builtin.Equality
import qualified MAlonzo.Code.Agda.Builtin.Sigma
import qualified MAlonzo.Code.Agda.Primitive
import qualified MAlonzo.Code.Data.Irrelevant
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Relation.Binary.Consequences
import qualified MAlonzo.Code.Relation.Binary.Definitions
import qualified MAlonzo.Code.Relation.Nullary.Decidable.Core

-- Relation.Binary.Structures.IsPartialEquivalence
d_IsPartialEquivalence_16 :: p -> p -> p -> p -> ()
d_IsPartialEquivalence_16 p
a0 p
a1 p
a2 p
a3 = ()
data T_IsPartialEquivalence_16
  = C_constructor_26 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsPartialEquivalence.sym
d_sym_22 ::
  T_IsPartialEquivalence_16 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_22 :: T_IsPartialEquivalence_16
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_22 T_IsPartialEquivalence_16
v0
  = case T_IsPartialEquivalence_16 -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsPartialEquivalence_16
v0 of
      C_constructor_26 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1
      T_IsPartialEquivalence_16
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPartialEquivalence.trans
d_trans_24 ::
  T_IsPartialEquivalence_16 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_24 :: T_IsPartialEquivalence_16
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_24 T_IsPartialEquivalence_16
v0
  = case T_IsPartialEquivalence_16 -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsPartialEquivalence_16
v0 of
      C_constructor_26 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      T_IsPartialEquivalence_16
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence
d_IsEquivalence_28 :: p -> p -> p -> p -> ()
d_IsEquivalence_28 p
a0 p
a1 p
a2 p
a3 = ()
data T_IsEquivalence_28
  = C_constructor_46 (AgdaAny -> AgdaAny)
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsEquivalence.refl
d_refl_36 :: T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 :: T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 T_IsEquivalence_28
v0
  = case T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v0 of
      C_constructor_46 AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> (AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v1
      T_IsEquivalence_28
_ -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence.sym
d_sym_38 ::
  T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 :: T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 T_IsEquivalence_28
v0
  = case T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v0 of
      C_constructor_46 AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      T_IsEquivalence_28
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence.trans
d_trans_40 ::
  T_IsEquivalence_28 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 :: T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 T_IsEquivalence_28
v0
  = case T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v0 of
      C_constructor_46 AgdaAny -> AgdaAny
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3
      T_IsEquivalence_28
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence.reflexive
d_reflexive_42 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsEquivalence_28 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_42 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsEquivalence_28
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_42 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsEquivalence_28
v4 AgdaAny
v5 ~AgdaAny
v6 ~T__'8801'__12
v7
  = T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 T_IsEquivalence_28
v4 AgdaAny
v5
du_reflexive_42 :: T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 :: T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 T_IsEquivalence_28
v0 AgdaAny
v1 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 T_IsEquivalence_28
v0 AgdaAny
v1
-- Relation.Binary.Structures.IsEquivalence.isPartialEquivalence
d_isPartialEquivalence_44 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_44 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsEquivalence_28
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_44 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsEquivalence_28
v4
  = T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 T_IsEquivalence_28
v4
du_isPartialEquivalence_44 ::
  T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 :: T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 T_IsEquivalence_28
v0
  = ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPartialEquivalence_16
C_constructor_26 ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 (T_IsEquivalence_28 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28
v0)) ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 (T_IsEquivalence_28 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28
v0))
-- Relation.Binary.Structures.IsDecEquivalence
d_IsDecEquivalence_48 :: p -> p -> p -> p -> ()
d_IsDecEquivalence_48 p
a0 p
a1 p
a2 p
a3 = ()
data T_IsDecEquivalence_48
  = C_constructor_70 T_IsEquivalence_28
                     (AgdaAny ->
                      AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
-- Relation.Binary.Structures.IsDecEquivalence.isEquivalence
d_isEquivalence_54 :: T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 :: T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 T_IsDecEquivalence_48
v0
  = case T_IsDecEquivalence_48 -> T_IsDecEquivalence_48
forall a b. a -> b
coe T_IsDecEquivalence_48
v0 of
      C_constructor_70 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 -> T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v1
      T_IsDecEquivalence_48
_ -> T_IsEquivalence_28
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecEquivalence._≟_
d__'8799'__56 ::
  T_IsDecEquivalence_48 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__56 :: T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__56 T_IsDecEquivalence_48
v0
  = case T_IsDecEquivalence_48 -> T_IsDecEquivalence_48
forall a b. a -> b
coe T_IsDecEquivalence_48
v0 of
      C_constructor_70 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v2
      T_IsDecEquivalence_48
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecEquivalence._.isPartialEquivalence
d_isPartialEquivalence_60 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecEquivalence_48 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_60 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecEquivalence_48
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_60 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsDecEquivalence_48
v4
  = T_IsDecEquivalence_48 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_60 T_IsDecEquivalence_48
v4
du_isPartialEquivalence_60 ::
  T_IsDecEquivalence_48 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_60 :: T_IsDecEquivalence_48 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_60 T_IsDecEquivalence_48
v0
  = (T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (T_IsDecEquivalence_48 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48
v0))
-- Relation.Binary.Structures.IsDecEquivalence._.refl
d_refl_62 :: T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny
d_refl_62 :: T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny
d_refl_62 T_IsDecEquivalence_48
v0 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (T_IsDecEquivalence_48 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48
v0))
-- Relation.Binary.Structures.IsDecEquivalence._.reflexive
d_reflexive_64 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecEquivalence_48 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_64 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecEquivalence_48
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_64 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsDecEquivalence_48
v4 = T_IsDecEquivalence_48
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_64 T_IsDecEquivalence_48
v4
du_reflexive_64 ::
  T_IsDecEquivalence_48 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_64 :: T_IsDecEquivalence_48
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_64 T_IsDecEquivalence_48
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (T_IsDecEquivalence_48 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48
v0)) AgdaAny
v1
-- Relation.Binary.Structures.IsDecEquivalence._.sym
d_sym_66 ::
  T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_66 :: T_IsDecEquivalence_48 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_66 T_IsDecEquivalence_48
v0 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (T_IsDecEquivalence_48 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48
v0))
-- Relation.Binary.Structures.IsDecEquivalence._.trans
d_trans_68 ::
  T_IsDecEquivalence_48 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_68 :: T_IsDecEquivalence_48
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_68 T_IsDecEquivalence_48
v0 = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (T_IsDecEquivalence_48 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48
v0))
-- Relation.Binary.Structures.IsPreorder
d_IsPreorder_76 :: p -> p -> p -> p -> p -> p -> ()
d_IsPreorder_76 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsPreorder_76
  = C_constructor_126 T_IsEquivalence_28
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsPreorder.isEquivalence
d_isEquivalence_86 :: T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 :: T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 T_IsPreorder_76
v0
  = case T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v0 of
      C_constructor_126 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v1
      T_IsPreorder_76
_ -> T_IsEquivalence_28
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPreorder.reflexive
d_reflexive_88 ::
  T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 T_IsPreorder_76
v0
  = case T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v0 of
      C_constructor_126 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      T_IsPreorder_76
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPreorder.trans
d_trans_90 ::
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 :: T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 T_IsPreorder_76
v0
  = case T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v0 of
      C_constructor_126 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3
      T_IsPreorder_76
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPreorder.Eq.isPartialEquivalence
d_isPartialEquivalence_94 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_94 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_94 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6
  = T_IsPreorder_76 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_94 T_IsPreorder_76
v6
du_isPartialEquivalence_94 ::
  T_IsPreorder_76 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_94 :: T_IsPreorder_76 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_94 T_IsPreorder_76
v0
  = (T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0))
-- Relation.Binary.Structures.IsPreorder.Eq.refl
d_refl_96 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny
d_refl_96 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny
d_refl_96 T_IsPreorder_76
v0 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0))
-- Relation.Binary.Structures.IsPreorder.Eq.reflexive
d_reflexive_98 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_98 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_98 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6 = T_IsPreorder_76 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_98 T_IsPreorder_76
v6
du_reflexive_98 ::
  T_IsPreorder_76 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_98 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_98 T_IsPreorder_76
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0)) AgdaAny
v1
-- Relation.Binary.Structures.IsPreorder.Eq.sym
d_sym_100 ::
  T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_100 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_100 T_IsPreorder_76
v0 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0))
-- Relation.Binary.Structures.IsPreorder.Eq.trans
d_trans_102 ::
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_102 :: T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_102 T_IsPreorder_76
v0 = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0))
-- Relation.Binary.Structures.IsPreorder.refl
d_refl_104 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) -> T_IsPreorder_76 -> AgdaAny -> AgdaAny
d_refl_104 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
d_refl_104 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6 AgdaAny
v7 = T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 T_IsPreorder_76
v6 AgdaAny
v7
du_refl_104 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 :: T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 T_IsPreorder_76
v0 AgdaAny
v1
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 T_IsPreorder_76
v0 AgdaAny
v1 AgdaAny
v1
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 (T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v0)) AgdaAny
v1)
-- Relation.Binary.Structures.IsPreorder.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_106 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_106 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_106 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6 AgdaAny
v7
                                    AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106 T_IsPreorder_76
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_'8818''45'resp'737''45''8776'_106 ::
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106 :: T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106 T_IsPreorder_76
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 T_IsPreorder_76
v0 AgdaAny
v3 AgdaAny
v2 AgdaAny
v1
      ((T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 T_IsPreorder_76
v0 AgdaAny
v3 AgdaAny
v2
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 (T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v0)) AgdaAny
v2 AgdaAny
v3 AgdaAny
v4))
      AgdaAny
v5
-- Relation.Binary.Structures.IsPreorder.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_112 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_112 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_112 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6 AgdaAny
v7
                                    AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112 T_IsPreorder_76
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_'8818''45'resp'691''45''8776'_112 ::
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112 :: T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112 T_IsPreorder_76
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 T_IsPreorder_76
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5 ((T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 T_IsPreorder_76
v0 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4)
-- Relation.Binary.Structures.IsPreorder.≲-resp-≈
d_'8818''45'resp'45''8776'_118 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_118 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> T_Σ_14
d_'8818''45'resp'45''8776'_118 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6
  = T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 T_IsPreorder_76
v6
du_'8818''45'resp'45''8776'_118 ::
  T_IsPreorder_76 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_118 :: T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 T_IsPreorder_76
v0
  = (AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0))
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0))
-- Relation.Binary.Structures.IsPreorder.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_120 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_120 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_120 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6
  = T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120 T_IsPreorder_76
v6
du_'8764''45'resp'737''45''8776'_120 ::
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120 :: T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120 T_IsPreorder_76
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0)
-- Relation.Binary.Structures.IsPreorder.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_122 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_122 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_122 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6
  = T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122 T_IsPreorder_76
v6
du_'8764''45'resp'691''45''8776'_122 ::
  T_IsPreorder_76 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122 :: T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122 T_IsPreorder_76
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0)
-- Relation.Binary.Structures.IsPreorder.∼-resp-≈
d_'8764''45'resp'45''8776'_124 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPreorder_76 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_124 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_76
-> T_Σ_14
d_'8764''45'resp'45''8776'_124 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_76
v6
  = T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 T_IsPreorder_76
v6
du_'8764''45'resp'45''8776'_124 ::
  T_IsPreorder_76 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_124 :: T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 T_IsPreorder_76
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v0)
-- Relation.Binary.Structures.IsTotalPreorder
d_IsTotalPreorder_132 :: p -> p -> p -> p -> p -> p -> ()
d_IsTotalPreorder_132 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsTotalPreorder_132
  = C_constructor_178 T_IsPreorder_76
                      (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30)
-- Relation.Binary.Structures.IsTotalPreorder.isPreorder
d_isPreorder_140 :: T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 :: T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 T_IsTotalPreorder_132
v0
  = case T_IsTotalPreorder_132 -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_IsTotalPreorder_132
v0 of
      C_constructor_178 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 -> T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v1
      T_IsTotalPreorder_132
_ -> T_IsPreorder_76
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalPreorder.total
d_total_142 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_142 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_142 T_IsTotalPreorder_132
v0
  = case T_IsTotalPreorder_132 -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_IsTotalPreorder_132
v0 of
      C_constructor_178 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 -> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v2
      T_IsTotalPreorder_132
_ -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalPreorder._.isEquivalence
d_isEquivalence_146 :: T_IsTotalPreorder_132 -> T_IsEquivalence_28
d_isEquivalence_146 :: T_IsTotalPreorder_132 -> T_IsEquivalence_28
d_isEquivalence_146 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.refl
d_refl_148 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny
d_refl_148 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> AgdaAny
-> AgdaAny
d_refl_148 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6 = T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny
du_refl_148 T_IsTotalPreorder_132
v6
du_refl_148 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny
du_refl_148 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny
du_refl_148 T_IsTotalPreorder_132
v0 = (T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.reflexive
d_reflexive_150 ::
  T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_150 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_150 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.trans
d_trans_152 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_152 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_152 T_IsTotalPreorder_132
v0 = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_154 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_154 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> T_Σ_14
d_'8764''45'resp'45''8776'_154 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132 -> T_Σ_14
du_'8764''45'resp'45''8776'_154 T_IsTotalPreorder_132
v6
du_'8764''45'resp'45''8776'_154 ::
  T_IsTotalPreorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_154 :: T_IsTotalPreorder_132 -> T_Σ_14
du_'8764''45'resp'45''8776'_154 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_156 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_156 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_156 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_156 T_IsTotalPreorder_132
v6
du_'8764''45'resp'691''45''8776'_156 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_156 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_156 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_158 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_158 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_158 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_158 T_IsTotalPreorder_132
v6
du_'8764''45'resp'737''45''8776'_158 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_158 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_158 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_160 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_160 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> T_Σ_14
d_'8818''45'resp'45''8776'_160 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132 -> T_Σ_14
du_'8818''45'resp'45''8776'_160 T_IsTotalPreorder_132
v6
du_'8818''45'resp'45''8776'_160 ::
  T_IsTotalPreorder_132 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_160 :: T_IsTotalPreorder_132 -> T_Σ_14
du_'8818''45'resp'45''8776'_160 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_162 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_162 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_162 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_162 T_IsTotalPreorder_132
v6
du_'8818''45'resp'691''45''8776'_162 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_162 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_162 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_164 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_164 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_164 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_164 T_IsTotalPreorder_132
v6
du_'8818''45'resp'737''45''8776'_164 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_164 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_164 T_IsTotalPreorder_132
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106
      ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.isPartialEquivalence
d_isPartialEquivalence_168 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_168 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_168 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6
  = T_IsTotalPreorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_168 T_IsTotalPreorder_132
v6
du_isPartialEquivalence_168 ::
  T_IsTotalPreorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_168 :: T_IsTotalPreorder_132 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_168 T_IsTotalPreorder_132
v0
  = let v1 :: T_IsPreorder_76
v1 = T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_IsTotalPreorder_132
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v1)))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.refl
d_refl_170 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny
d_refl_170 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny
d_refl_170 T_IsTotalPreorder_132
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0)))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.reflexive
d_reflexive_172 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalPreorder_132 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_172 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_132
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_172 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_132
v6 = T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_172 T_IsTotalPreorder_132
v6
du_reflexive_172 ::
  T_IsTotalPreorder_132 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_172 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_172 T_IsTotalPreorder_132
v0
  = let v1 :: T_IsPreorder_76
v1 = T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_IsTotalPreorder_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_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.sym
d_sym_174 ::
  T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_174 :: T_IsTotalPreorder_132 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_174 T_IsTotalPreorder_132
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0)))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.trans
d_trans_176 ::
  T_IsTotalPreorder_132 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_176 :: T_IsTotalPreorder_132
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_176 T_IsTotalPreorder_132
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsTotalPreorder_132 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132 -> T_IsPreorder_76
d_isPreorder_140 (T_IsTotalPreorder_132 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_132
v0)))
-- Relation.Binary.Structures.IsDecPreorder
d_IsDecPreorder_184 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecPreorder_184 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecPreorder_184
  = C_constructor_242 T_IsPreorder_76
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
-- Relation.Binary.Structures.IsDecPreorder.isPreorder
d_isPreorder_194 :: T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 :: T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 T_IsDecPreorder_184
v0
  = case T_IsDecPreorder_184 -> T_IsDecPreorder_184
forall a b. a -> b
coe T_IsDecPreorder_184
v0 of
      C_constructor_242 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v1
      T_IsDecPreorder_184
_ -> T_IsPreorder_76
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPreorder._≟_
d__'8799'__196 ::
  T_IsDecPreorder_184 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__196 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__196 T_IsDecPreorder_184
v0
  = case T_IsDecPreorder_184 -> T_IsDecPreorder_184
forall a b. a -> b
coe T_IsDecPreorder_184
v0 of
      C_constructor_242 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v2
      T_IsDecPreorder_184
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPreorder._≲?_
d__'8818''63'__198 ::
  T_IsDecPreorder_184 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8818''63'__198 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8818''63'__198 T_IsDecPreorder_184
v0
  = case T_IsDecPreorder_184 -> T_IsDecPreorder_184
forall a b. a -> b
coe T_IsDecPreorder_184
v0 of
      C_constructor_242 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v3
      T_IsDecPreorder_184
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPreorder._.isEquivalence
d_isEquivalence_202 :: T_IsDecPreorder_184 -> T_IsEquivalence_28
d_isEquivalence_202 :: T_IsDecPreorder_184 -> T_IsEquivalence_28
d_isEquivalence_202 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.refl
d_refl_204 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
d_refl_204 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
d_refl_204 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6 = T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
du_refl_204 T_IsDecPreorder_184
v6
du_refl_204 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
du_refl_204 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
du_refl_204 T_IsDecPreorder_184
v0 = (T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.reflexive
d_reflexive_206 ::
  T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_206 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_206 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.trans
d_trans_208 ::
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_208 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_208 T_IsDecPreorder_184
v0 = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_210 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_210 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> T_Σ_14
d_'8764''45'resp'45''8776'_210 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184 -> T_Σ_14
du_'8764''45'resp'45''8776'_210 T_IsDecPreorder_184
v6
du_'8764''45'resp'45''8776'_210 ::
  T_IsDecPreorder_184 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_210 :: T_IsDecPreorder_184 -> T_Σ_14
du_'8764''45'resp'45''8776'_210 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_212 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_212 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_212 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_212 T_IsDecPreorder_184
v6
du_'8764''45'resp'691''45''8776'_212 ::
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_212 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_212 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_214 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_214 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_214 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_214 T_IsDecPreorder_184
v6
du_'8764''45'resp'737''45''8776'_214 ::
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_214 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_214 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_216 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_216 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> T_Σ_14
d_'8818''45'resp'45''8776'_216 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184 -> T_Σ_14
du_'8818''45'resp'45''8776'_216 T_IsDecPreorder_184
v6
du_'8818''45'resp'45''8776'_216 ::
  T_IsDecPreorder_184 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_216 :: T_IsDecPreorder_184 -> T_Σ_14
du_'8818''45'resp'45''8776'_216 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_218 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_218 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_218 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_218 T_IsDecPreorder_184
v6
du_'8818''45'resp'691''45''8776'_218 ::
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_218 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_218 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_220 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_220 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_220 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_220 T_IsDecPreorder_184
v6
du_'8818''45'resp'737''45''8776'_220 ::
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_220 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_220 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106
      ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder.Eq.isDecEquivalence
d_isDecEquivalence_224 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> T_IsDecEquivalence_48
d_isDecEquivalence_224 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> T_IsDecEquivalence_48
d_isDecEquivalence_224 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 T_IsDecPreorder_184
v6
du_isDecEquivalence_224 ::
  T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 :: T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 T_IsDecPreorder_184
v0
  = (T_IsEquivalence_28
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsEquivalence_28
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48
C_constructor_70
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0)))
      ((T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__196 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder.Eq._._≟_
d__'8799'__228 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__228 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__228 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6 = T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__228 T_IsDecPreorder_184
v6
du__'8799'__228 ::
  T_IsDecPreorder_184 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__228 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__228 T_IsDecPreorder_184
v0 = (T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__196 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0)
-- Relation.Binary.Structures.IsDecPreorder.Eq._.isEquivalence
d_isEquivalence_230 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> T_IsEquivalence_28
d_isEquivalence_230 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> T_IsEquivalence_28
d_isEquivalence_230 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184 -> T_IsEquivalence_28
du_isEquivalence_230 T_IsDecPreorder_184
v6
du_isEquivalence_230 :: T_IsDecPreorder_184 -> T_IsEquivalence_28
du_isEquivalence_230 :: T_IsDecPreorder_184 -> T_IsEquivalence_28
du_isEquivalence_230 T_IsDecPreorder_184
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0))
-- Relation.Binary.Structures.IsDecPreorder.Eq._.isPartialEquivalence
d_isPartialEquivalence_232 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_232 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_232 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6
  = T_IsDecPreorder_184 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_232 T_IsDecPreorder_184
v6
du_isPartialEquivalence_232 ::
  T_IsDecPreorder_184 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_232 :: T_IsDecPreorder_184 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_232 T_IsDecPreorder_184
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Structures.IsDecPreorder.Eq._.refl
d_refl_234 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
d_refl_234 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
d_refl_234 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6 = T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
du_refl_234 T_IsDecPreorder_184
v6
du_refl_234 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
du_refl_234 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny
du_refl_234 T_IsDecPreorder_184
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0)))
-- Relation.Binary.Structures.IsDecPreorder.Eq._.reflexive
d_reflexive_236 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_236 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_236 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6 = T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_236 T_IsDecPreorder_184
v6
du_reflexive_236 ::
  T_IsDecPreorder_184 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_236 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_236 T_IsDecPreorder_184
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecPreorder.Eq._.sym
d_sym_238 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_238 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_238 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6 = T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_238 T_IsDecPreorder_184
v6
du_sym_238 ::
  T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_238 :: T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_238 T_IsDecPreorder_184
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0)))
-- Relation.Binary.Structures.IsDecPreorder.Eq._.trans
d_trans_240 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_240 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPreorder_184
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_240 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPreorder_184
v6 = T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_240 T_IsDecPreorder_184
v6
du_trans_240 ::
  T_IsDecPreorder_184 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_240 :: T_IsDecPreorder_184
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_240 T_IsDecPreorder_184
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (T_IsDecPreorder_184 -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184
v0)))
-- Relation.Binary.Structures.IsPartialOrder
d_IsPartialOrder_248 :: p -> p -> p -> p -> p -> p -> ()
d_IsPartialOrder_248 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsPartialOrder_248
  = C_constructor_294 T_IsPreorder_76
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsPartialOrder.isPreorder
d_isPreorder_256 :: T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 :: T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 T_IsPartialOrder_248
v0
  = case T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v0 of
      C_constructor_294 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 -> T_IsPreorder_76 -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPreorder_76
v1
      T_IsPartialOrder_248
_ -> T_IsPreorder_76
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPartialOrder.antisym
d_antisym_258 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_258 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_258 T_IsPartialOrder_248
v0
  = case T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v0 of
      C_constructor_294 T_IsPreorder_76
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      T_IsPartialOrder_248
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPartialOrder._.isEquivalence
d_isEquivalence_262 :: T_IsPartialOrder_248 -> T_IsEquivalence_28
d_isEquivalence_262 :: T_IsPartialOrder_248 -> T_IsEquivalence_28
d_isEquivalence_262 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.refl
d_refl_264 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 -> AgdaAny -> AgdaAny
d_refl_264 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> AgdaAny
-> AgdaAny
d_refl_264 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6 = T_IsPartialOrder_248 -> AgdaAny -> AgdaAny
du_refl_264 T_IsPartialOrder_248
v6
du_refl_264 :: T_IsPartialOrder_248 -> AgdaAny -> AgdaAny
du_refl_264 :: T_IsPartialOrder_248 -> AgdaAny -> AgdaAny
du_refl_264 T_IsPartialOrder_248
v0 = (T_IsPreorder_76 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.reflexive
d_reflexive_266 ::
  T_IsPartialOrder_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_266 :: T_IsPartialOrder_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_266 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.trans
d_trans_268 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_268 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_268 T_IsPartialOrder_248
v0 = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_270 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_270 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> T_Σ_14
d_'8764''45'resp'45''8776'_270 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248 -> T_Σ_14
du_'8764''45'resp'45''8776'_270 T_IsPartialOrder_248
v6
du_'8764''45'resp'45''8776'_270 ::
  T_IsPartialOrder_248 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_270 :: T_IsPartialOrder_248 -> T_Σ_14
du_'8764''45'resp'45''8776'_270 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_272 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_272 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_272 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_272 T_IsPartialOrder_248
v6
du_'8764''45'resp'691''45''8776'_272 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_272 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_272 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_274 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_274 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_274 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_274 T_IsPartialOrder_248
v6
du_'8764''45'resp'737''45''8776'_274 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_274 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_274 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_276 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_276 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> T_Σ_14
d_'8818''45'resp'45''8776'_276 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248 -> T_Σ_14
du_'8818''45'resp'45''8776'_276 T_IsPartialOrder_248
v6
du_'8818''45'resp'45''8776'_276 ::
  T_IsPartialOrder_248 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_276 :: T_IsPartialOrder_248 -> T_Σ_14
du_'8818''45'resp'45''8776'_276 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_278 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_278 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_278 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_278 T_IsPartialOrder_248
v6
du_'8818''45'resp'691''45''8776'_278 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_278 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_278 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_280 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_280 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_280 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_280 T_IsPartialOrder_248
v6
du_'8818''45'resp'737''45''8776'_280 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_280 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_280 T_IsPartialOrder_248
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_284 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_284 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_284 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6
  = T_IsPartialOrder_248 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_284 T_IsPartialOrder_248
v6
du_isPartialEquivalence_284 ::
  T_IsPartialOrder_248 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_284 :: T_IsPartialOrder_248 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_284 T_IsPartialOrder_248
v0
  = let v1 :: T_IsPreorder_76
v1 = T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v1)))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.refl
d_refl_286 :: T_IsPartialOrder_248 -> AgdaAny -> AgdaAny
d_refl_286 :: T_IsPartialOrder_248 -> AgdaAny -> AgdaAny
d_refl_286 T_IsPartialOrder_248
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0)))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.reflexive
d_reflexive_288 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsPartialOrder_248 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_288 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_248
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_288 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_248
v6 = T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_288 T_IsPartialOrder_248
v6
du_reflexive_288 ::
  T_IsPartialOrder_248 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_288 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_288 T_IsPartialOrder_248
v0
  = let v1 :: T_IsPreorder_76
v1 = T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsPartialOrder._.Eq.sym
d_sym_290 ::
  T_IsPartialOrder_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_290 :: T_IsPartialOrder_248 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_290 T_IsPartialOrder_248
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0)))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.trans
d_trans_292 ::
  T_IsPartialOrder_248 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_292 :: T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_292 T_IsPartialOrder_248
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder
d_IsDecPartialOrder_300 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecPartialOrder_300 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecPartialOrder_300
  = C_constructor_364 T_IsPartialOrder_248
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
-- Relation.Binary.Structures.IsDecPartialOrder.isPartialOrder
d_isPartialOrder_310 ::
  T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 :: T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 T_IsDecPartialOrder_300
v0
  = case T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0 of
      C_constructor_364 T_IsPartialOrder_248
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v1
      T_IsDecPartialOrder_300
_ -> T_IsPartialOrder_248
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPartialOrder._≟_
d__'8799'__312 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__312 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__312 T_IsDecPartialOrder_300
v0
  = case T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0 of
      C_constructor_364 T_IsPartialOrder_248
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v2
      T_IsDecPartialOrder_300
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPartialOrder._≤?_
d__'8804''63'__314 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__314 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__314 T_IsDecPartialOrder_300
v0
  = case T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0 of
      C_constructor_364 T_IsPartialOrder_248
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v3
      T_IsDecPartialOrder_300
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPartialOrder._.antisym
d_antisym_318 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_318 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_318 T_IsDecPartialOrder_300
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_258 ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0))
-- Relation.Binary.Structures.IsDecPartialOrder._.isEquivalence
d_isEquivalence_320 ::
  T_IsDecPartialOrder_300 -> T_IsEquivalence_28
d_isEquivalence_320 :: T_IsDecPartialOrder_300 -> T_IsEquivalence_28
d_isEquivalence_320 T_IsDecPartialOrder_300
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder._.isPreorder
d_isPreorder_322 :: T_IsDecPartialOrder_300 -> T_IsPreorder_76
d_isPreorder_322 :: T_IsDecPartialOrder_300 -> T_IsPreorder_76
d_isPreorder_322 T_IsDecPartialOrder_300
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0))
-- Relation.Binary.Structures.IsDecPartialOrder._.refl
d_refl_324 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
d_refl_324 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
d_refl_324 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6 = T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
du_refl_324 T_IsDecPartialOrder_300
v6
du_refl_324 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
du_refl_324 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
du_refl_324 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.reflexive
d_reflexive_326 ::
  T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_326 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_326 T_IsDecPartialOrder_300
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder._.trans
d_trans_328 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_328 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_328 T_IsDecPartialOrder_300
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_330 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_330 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> T_Σ_14
d_'8764''45'resp'45''8776'_330 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300 -> T_Σ_14
du_'8764''45'resp'45''8776'_330 T_IsDecPartialOrder_300
v6
du_'8764''45'resp'45''8776'_330 ::
  T_IsDecPartialOrder_300 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_330 :: T_IsDecPartialOrder_300 -> T_Σ_14
du_'8764''45'resp'45''8776'_330 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_332 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_332 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_332 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_332 T_IsDecPartialOrder_300
v6
du_'8764''45'resp'691''45''8776'_332 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_332 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_332 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_334 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_334 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_334 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_334 T_IsDecPartialOrder_300
v6
du_'8764''45'resp'737''45''8776'_334 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_334 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_334 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_336 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_336 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> T_Σ_14
d_'8818''45'resp'45''8776'_336 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300 -> T_Σ_14
du_'8818''45'resp'45''8776'_336 T_IsDecPartialOrder_300
v6
du_'8818''45'resp'45''8776'_336 ::
  T_IsDecPartialOrder_300 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_336 :: T_IsDecPartialOrder_300 -> T_Σ_14
du_'8818''45'resp'45''8776'_336 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_338 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_338 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_338 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_338 T_IsDecPartialOrder_300
v6
du_'8818''45'resp'691''45''8776'_338 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_338 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_338 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_340 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_340 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_340 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_340 T_IsDecPartialOrder_300
v6
du_'8818''45'resp'737''45''8776'_340 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_340 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_340 T_IsDecPartialOrder_300
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> T_IsDecPartialOrder_300
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder.isDecPreorder
d_isDecPreorder_342 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
d_isDecPreorder_342 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> T_IsDecPreorder_184
d_isDecPreorder_342 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 T_IsDecPartialOrder_300
v6
du_isDecPreorder_342 ::
  T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 :: T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 T_IsDecPartialOrder_300
v0
  = (T_IsPreorder_76
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsDecPreorder_184
forall a b. a -> b
coe
      T_IsPreorder_76
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> T_IsDecPreorder_184
C_constructor_242
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsDecPartialOrder_300 -> T_IsPartialOrder_248)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsPartialOrder_248
d_isPartialOrder_310 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0)))
      ((T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__312 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0)) ((T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__314 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq._≟_
d__'8799'__348 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__348 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__348 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6 = T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__348 T_IsDecPartialOrder_300
v6
du__'8799'__348 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__348 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__348 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe ((T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__196 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.isDecEquivalence
d_isDecEquivalence_350 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> T_IsDecEquivalence_48
d_isDecEquivalence_350 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> T_IsDecEquivalence_48
d_isDecEquivalence_350 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300 -> T_IsDecEquivalence_48
du_isDecEquivalence_350 T_IsDecPartialOrder_300
v6
du_isDecEquivalence_350 ::
  T_IsDecPartialOrder_300 -> T_IsDecEquivalence_48
du_isDecEquivalence_350 :: T_IsDecPartialOrder_300 -> T_IsDecEquivalence_48
du_isDecEquivalence_350 T_IsDecPartialOrder_300
v0
  = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 ((T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.isEquivalence
d_isEquivalence_352 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> T_IsEquivalence_28
d_isEquivalence_352 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> T_IsEquivalence_28
d_isEquivalence_352 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300 -> T_IsEquivalence_28
du_isEquivalence_352 T_IsDecPartialOrder_300
v6
du_isEquivalence_352 ::
  T_IsDecPartialOrder_300 -> T_IsEquivalence_28
du_isEquivalence_352 :: T_IsDecPartialOrder_300 -> T_IsEquivalence_28
du_isEquivalence_352 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_354 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_354 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_354 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6
  = T_IsDecPartialOrder_300 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_354 T_IsDecPartialOrder_300
v6
du_isPartialEquivalence_354 ::
  T_IsDecPartialOrder_300 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_354 :: T_IsDecPartialOrder_300 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_354 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.refl
d_refl_356 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
d_refl_356 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
d_refl_356 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6 = T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
du_refl_356 T_IsDecPartialOrder_300
v6
du_refl_356 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
du_refl_356 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny
du_refl_356 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.reflexive
d_reflexive_358 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_358 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_358 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6 = T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_358 T_IsDecPartialOrder_300
v6
du_reflexive_358 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_358 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_358 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)) AgdaAny
v3))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.sym
d_sym_360 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_360 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_360 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6 = T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_360 T_IsDecPartialOrder_300
v6
du_sym_360 ::
  T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_360 :: T_IsDecPartialOrder_300 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_360 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Structures.IsDecPartialOrder._.Eq.trans
d_trans_362 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_362 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_300
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_362 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_300
v6 = T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_362 T_IsDecPartialOrder_300
v6
du_trans_362 ::
  T_IsDecPartialOrder_300 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_362 :: T_IsDecPartialOrder_300
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_362 T_IsDecPartialOrder_300
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (T_IsDecPartialOrder_300 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
         ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1))))
-- Relation.Binary.Structures.IsStrictPartialOrder
d_IsStrictPartialOrder_370 :: p -> p -> p -> p -> p -> p -> ()
d_IsStrictPartialOrder_370 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsStrictPartialOrder_370
  = C_constructor_412 T_IsEquivalence_28
                      (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                      MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
-- Relation.Binary.Structures.IsStrictPartialOrder.isEquivalence
d_isEquivalence_382 ::
  T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 :: T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 T_IsStrictPartialOrder_370
v0
  = case T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0 of
      C_constructor_412 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 T_Σ_14
v4 -> T_IsEquivalence_28 -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsEquivalence_28
v1
      T_IsStrictPartialOrder_370
_ -> T_IsEquivalence_28
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictPartialOrder.irrefl
d_irrefl_384 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_384 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_384 = T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictPartialOrder.trans
d_trans_386 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_386 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_386 T_IsStrictPartialOrder_370
v0
  = case T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0 of
      C_constructor_412 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 T_Σ_14
v4 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3
      T_IsStrictPartialOrder_370
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictPartialOrder.<-resp-≈
d_'60''45'resp'45''8776'_388 ::
  T_IsStrictPartialOrder_370 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_388 :: T_IsStrictPartialOrder_370 -> T_Σ_14
d_'60''45'resp'45''8776'_388 T_IsStrictPartialOrder_370
v0
  = case T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0 of
      C_constructor_412 T_IsEquivalence_28
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 T_Σ_14
v4 -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4
      T_IsStrictPartialOrder_370
_ -> T_Σ_14
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.isPartialEquivalence
d_isPartialEquivalence_392 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictPartialOrder_370 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_392 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_370
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_392 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_370
v6
  = T_IsStrictPartialOrder_370 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_392 T_IsStrictPartialOrder_370
v6
du_isPartialEquivalence_392 ::
  T_IsStrictPartialOrder_370 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_392 :: T_IsStrictPartialOrder_370 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_392 T_IsStrictPartialOrder_370
v0
  = (T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.refl
d_refl_394 :: T_IsStrictPartialOrder_370 -> AgdaAny -> AgdaAny
d_refl_394 :: T_IsStrictPartialOrder_370 -> AgdaAny -> AgdaAny
d_refl_394 T_IsStrictPartialOrder_370
v0 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.reflexive
d_reflexive_396 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictPartialOrder_370 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_396 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_370
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_396 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_370
v6 = T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_396 T_IsStrictPartialOrder_370
v6
du_reflexive_396 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_396 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_396 T_IsStrictPartialOrder_370
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0)) AgdaAny
v1
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.sym
d_sym_398 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_398 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_398 T_IsStrictPartialOrder_370
v0 = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.trans
d_trans_400 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_400 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_400 T_IsStrictPartialOrder_370
v0 = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.asym
d_asym_402 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictPartialOrder_370 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_402 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_370
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_402 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_370
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictPartialOrder.<-respʳ-≈
d_'60''45'resp'691''45''8776'_408 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_408 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_370
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_408 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_370
v6 AgdaAny
v7 AgdaAny
v8
                                  AgdaAny
v9
  = T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_408 T_IsStrictPartialOrder_370
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_'60''45'resp'691''45''8776'_408 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_408 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_408 T_IsStrictPartialOrder_370
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T_Σ_14 -> AgdaAny)
-> T_Σ_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28
      (T_IsStrictPartialOrder_370 -> T_Σ_14
d_'60''45'resp'45''8776'_388 (T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0)) AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
-- Relation.Binary.Structures.IsStrictPartialOrder.<-respˡ-≈
d_'60''45'resp'737''45''8776'_410 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_410 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_370
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_410 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_370
v6 AgdaAny
v7 AgdaAny
v8
                                  AgdaAny
v9
  = T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_410 T_IsStrictPartialOrder_370
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_'60''45'resp'737''45''8776'_410 ::
  T_IsStrictPartialOrder_370 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_410 :: T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_410 T_IsStrictPartialOrder_370
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
  = (T_Σ_14 -> AgdaAny)
-> T_Σ_14
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30
      (T_IsStrictPartialOrder_370 -> T_Σ_14
d_'60''45'resp'45''8776'_388 (T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v0)) AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
-- Relation.Binary.Structures.IsDecStrictPartialOrder
d_IsDecStrictPartialOrder_418 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecStrictPartialOrder_418 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecStrictPartialOrder_418
  = C_constructor_482 T_IsStrictPartialOrder_370
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.isStrictPartialOrder
d_isStrictPartialOrder_428 ::
  T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 :: T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 T_IsDecStrictPartialOrder_418
v0
  = case T_IsDecStrictPartialOrder_418 -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0 of
      C_constructor_482 T_IsStrictPartialOrder_370
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v1
      T_IsDecStrictPartialOrder_418
_ -> T_IsStrictPartialOrder_370
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecStrictPartialOrder._≟_
d__'8799'__430 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__430 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__430 T_IsDecStrictPartialOrder_418
v0
  = case T_IsDecStrictPartialOrder_418 -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0 of
      C_constructor_482 T_IsStrictPartialOrder_370
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v2
      T_IsDecStrictPartialOrder_418
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecStrictPartialOrder._<?_
d__'60''63'__432 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__432 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'60''63'__432 T_IsDecStrictPartialOrder_418
v0
  = case T_IsDecStrictPartialOrder_418 -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0 of
      C_constructor_482 T_IsStrictPartialOrder_370
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v3
      T_IsDecStrictPartialOrder_418
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.<-resp-≈
d_'60''45'resp'45''8776'_436 ::
  T_IsDecStrictPartialOrder_418 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_436 :: T_IsDecStrictPartialOrder_418 -> T_Σ_14
d_'60''45'resp'45''8776'_436 T_IsDecStrictPartialOrder_418
v0
  = (T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_Σ_14
d_'60''45'resp'45''8776'_388
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.<-respʳ-≈
d_'60''45'resp'691''45''8776'_438 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_438 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_438 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6
  = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_438 T_IsDecStrictPartialOrder_418
v6
du_'60''45'resp'691''45''8776'_438 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_438 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_438 T_IsDecStrictPartialOrder_418
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_408
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.<-respˡ-≈
d_'60''45'resp'737''45''8776'_440 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_440 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_440 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6
  = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_440 T_IsDecStrictPartialOrder_418
v6
du_'60''45'resp'737''45''8776'_440 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_440 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_440 T_IsDecStrictPartialOrder_418
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_410
      ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.asym
d_asym_442 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_442 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_442 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.irrefl
d_irrefl_444 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_444 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_444 = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.isEquivalence
d_isEquivalence_446 ::
  T_IsDecStrictPartialOrder_418 -> T_IsEquivalence_28
d_isEquivalence_446 :: T_IsDecStrictPartialOrder_418 -> T_IsEquivalence_28
d_isEquivalence_446 T_IsDecStrictPartialOrder_418
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.trans
d_trans_448 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_448 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_448 T_IsDecStrictPartialOrder_418
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_386 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.isPartialEquivalence
d_isPartialEquivalence_452 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_452 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_452 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6
  = T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_452 T_IsDecStrictPartialOrder_418
v6
du_isPartialEquivalence_452 ::
  T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_452 :: T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_452 T_IsDecStrictPartialOrder_418
v0
  = let v1 :: T_IsStrictPartialOrder_370
v1 = T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v1)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.refl
d_refl_454 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny
d_refl_454 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny
d_refl_454 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.reflexive
d_reflexive_456 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_456 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_456 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6 = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_456 T_IsDecStrictPartialOrder_418
v6
du_reflexive_456 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_456 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_456 T_IsDecStrictPartialOrder_418
v0
  = let v1 :: T_IsStrictPartialOrder_370
v1 = T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 (T_IsStrictPartialOrder_370 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.sym
d_sym_458 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_458 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_458 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.trans
d_trans_460 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_460 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_460 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq.isDecEquivalence
d_isDecEquivalence_464 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
d_isDecEquivalence_464 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> T_IsDecEquivalence_48
d_isDecEquivalence_464 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6
  = T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 T_IsDecStrictPartialOrder_418
v6
du_isDecEquivalence_464 ::
  T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 :: T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsEquivalence_28
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48
C_constructor_70
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
      ((T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__430 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._._≟_
d__'8799'__468 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__468 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__468 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6 = T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__468 T_IsDecStrictPartialOrder_418
v6
du__'8799'__468 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__468 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__468 T_IsDecStrictPartialOrder_418
v0 = (T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__430 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_470 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 -> T_IsEquivalence_28
d_isEquivalence_470 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> T_IsEquivalence_28
d_isEquivalence_470 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6
  = T_IsDecStrictPartialOrder_418 -> T_IsEquivalence_28
du_isEquivalence_470 T_IsDecStrictPartialOrder_418
v6
du_isEquivalence_470 ::
  T_IsDecStrictPartialOrder_418 -> T_IsEquivalence_28
du_isEquivalence_470 :: T_IsDecStrictPartialOrder_418 -> T_IsEquivalence_28
du_isEquivalence_470 T_IsDecStrictPartialOrder_418
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_472 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_472 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_472 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6
  = T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_472 T_IsDecStrictPartialOrder_418
v6
du_isPartialEquivalence_472 ::
  T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_472 :: T_IsDecStrictPartialOrder_418 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_472 T_IsDecStrictPartialOrder_418
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.refl
d_refl_474 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny
d_refl_474 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
d_refl_474 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6 = T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny
du_refl_474 T_IsDecStrictPartialOrder_418
v6
du_refl_474 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny
du_refl_474 :: T_IsDecStrictPartialOrder_418 -> AgdaAny -> AgdaAny
du_refl_474 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.reflexive
d_reflexive_476 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_476 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_476 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6 = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_476 T_IsDecStrictPartialOrder_418
v6
du_reflexive_476 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_476 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_476 T_IsDecStrictPartialOrder_418
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsDecEquivalence_48
du_isDecEquivalence_464 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.sym
d_sym_478 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_478 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_478 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6 = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_478 T_IsDecStrictPartialOrder_418
v6
du_sym_478 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_478 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_478 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.trans
d_trans_480 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_480 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_418
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_480 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_418
v6 = T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_480 T_IsDecStrictPartialOrder_418
v6
du_trans_480 ::
  T_IsDecStrictPartialOrder_418 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_480 :: T_IsDecStrictPartialOrder_418
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_480 T_IsDecStrictPartialOrder_418
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_428 (T_IsDecStrictPartialOrder_418 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_418
v0)))
-- Relation.Binary.Structures.IsTotalOrder
d_IsTotalOrder_488 :: p -> p -> p -> p -> p -> p -> ()
d_IsTotalOrder_488 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsTotalOrder_488
  = C_constructor_540 T_IsPartialOrder_248
                      (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30)
-- Relation.Binary.Structures.IsTotalOrder.isPartialOrder
d_isPartialOrder_496 :: T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 :: T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 T_IsTotalOrder_488
v0
  = case T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0 of
      C_constructor_540 T_IsPartialOrder_248
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 -> T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v1
      T_IsTotalOrder_488
_ -> T_IsPartialOrder_248
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalOrder.total
d_total_498 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_498 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_498 T_IsTotalOrder_488
v0
  = case T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0 of
      C_constructor_540 T_IsPartialOrder_248
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 -> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v2
      T_IsTotalOrder_488
_ -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalOrder._.antisym
d_antisym_502 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_502 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_502 T_IsTotalOrder_488
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_258 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0))
-- Relation.Binary.Structures.IsTotalOrder._.isEquivalence
d_isEquivalence_504 :: T_IsTotalOrder_488 -> T_IsEquivalence_28
d_isEquivalence_504 :: T_IsTotalOrder_488 -> T_IsEquivalence_28
d_isEquivalence_504 T_IsTotalOrder_488
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0)))
-- Relation.Binary.Structures.IsTotalOrder._.isPreorder
d_isPreorder_506 :: T_IsTotalOrder_488 -> T_IsPreorder_76
d_isPreorder_506 :: T_IsTotalOrder_488 -> T_IsPreorder_76
d_isPreorder_506 T_IsTotalOrder_488
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0))
-- Relation.Binary.Structures.IsTotalOrder._.refl
d_refl_508 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 -> AgdaAny -> AgdaAny
d_refl_508 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> AgdaAny
-> AgdaAny
d_refl_508 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6 = T_IsTotalOrder_488 -> AgdaAny -> AgdaAny
du_refl_508 T_IsTotalOrder_488
v6
du_refl_508 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny
du_refl_508 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny
du_refl_508 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.reflexive
d_reflexive_510 ::
  T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_510 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_510 T_IsTotalOrder_488
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0)))
-- Relation.Binary.Structures.IsTotalOrder._.trans
d_trans_512 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_512 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_512 T_IsTotalOrder_488
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0)))
-- Relation.Binary.Structures.IsTotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_514 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_514 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> T_Σ_14
d_'8764''45'resp'45''8776'_514 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488 -> T_Σ_14
du_'8764''45'resp'45''8776'_514 T_IsTotalOrder_488
v6
du_'8764''45'resp'45''8776'_514 ::
  T_IsTotalOrder_488 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_514 :: T_IsTotalOrder_488 -> T_Σ_14
du_'8764''45'resp'45''8776'_514 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_516 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_516 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_516 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_516 T_IsTotalOrder_488
v6
du_'8764''45'resp'691''45''8776'_516 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_516 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_516 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_518 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_518 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_518 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_518 T_IsTotalOrder_488
v6
du_'8764''45'resp'737''45''8776'_518 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_518 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_518 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_520 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_520 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> T_Σ_14
d_'8818''45'resp'45''8776'_520 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488 -> T_Σ_14
du_'8818''45'resp'45''8776'_520 T_IsTotalOrder_488
v6
du_'8818''45'resp'45''8776'_520 ::
  T_IsTotalOrder_488 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_520 :: T_IsTotalOrder_488 -> T_Σ_14
du_'8818''45'resp'45''8776'_520 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_522 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_522 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_522 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_522 T_IsTotalOrder_488
v6
du_'8818''45'resp'691''45''8776'_522 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_522 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_522 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_524 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_524 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_524 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_524 T_IsTotalOrder_488
v6
du_'8818''45'resp'737''45''8776'_524 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_524 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_524 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_528 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_528 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_528 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_528 T_IsTotalOrder_488
v6
du_isPartialEquivalence_528 ::
  T_IsTotalOrder_488 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_528 :: T_IsTotalOrder_488 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_528 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsPreorder_76
v2 = T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v2))))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.refl
d_refl_530 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny
d_refl_530 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny
d_refl_530 T_IsTotalOrder_488
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0))))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.reflexive
d_reflexive_532 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_532 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_532 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6 = T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_532 T_IsTotalOrder_488
v6
du_reflexive_532 ::
  T_IsTotalOrder_488 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_532 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_532 T_IsTotalOrder_488
v0
  = let v1 :: T_IsPartialOrder_248
v1 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPreorder_76
v2 = T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsPartialOrder_248
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 (T_IsPreorder_76 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76
v2)) AgdaAny
v3))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.sym
d_sym_534 ::
  T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_534 :: T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_534 T_IsTotalOrder_488
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0))))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.trans
d_trans_536 ::
  T_IsTotalOrder_488 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_536 :: T_IsTotalOrder_488
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_536 T_IsTotalOrder_488
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
      ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86
         ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0))))
-- Relation.Binary.Structures.IsTotalOrder.isTotalPreorder
d_isTotalPreorder_538 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsTotalOrder_488 -> T_IsTotalPreorder_132
d_isTotalPreorder_538 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_488
-> T_IsTotalPreorder_132
d_isTotalPreorder_538 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_488
v6
  = T_IsTotalOrder_488 -> T_IsTotalPreorder_132
du_isTotalPreorder_538 T_IsTotalOrder_488
v6
du_isTotalPreorder_538 ::
  T_IsTotalOrder_488 -> T_IsTotalPreorder_132
du_isTotalPreorder_538 :: T_IsTotalOrder_488 -> T_IsTotalPreorder_132
du_isTotalPreorder_538 T_IsTotalOrder_488
v0
  = (T_IsPreorder_76
 -> (AgdaAny -> AgdaAny -> T__'8846'__30) -> T_IsTotalPreorder_132)
-> AgdaAny -> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe
      T_IsPreorder_76
-> (AgdaAny -> AgdaAny -> T__'8846'__30) -> T_IsTotalPreorder_132
C_constructor_178
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0)))
      ((T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_498 (T_IsTotalOrder_488 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488
v0))
-- Relation.Binary.Structures.IsDecTotalOrder
d_IsDecTotalOrder_546 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecTotalOrder_546 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecTotalOrder_546
  = C_constructor_618 T_IsTotalOrder_488
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
-- Relation.Binary.Structures.IsDecTotalOrder.isTotalOrder
d_isTotalOrder_556 :: T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 :: T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 T_IsDecTotalOrder_546
v0
  = case T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0 of
      C_constructor_618 T_IsTotalOrder_488
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1
      T_IsDecTotalOrder_546
_ -> T_IsTotalOrder_488
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecTotalOrder._≟_
d__'8799'__558 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__558 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__558 T_IsDecTotalOrder_546
v0
  = case T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0 of
      C_constructor_618 T_IsTotalOrder_488
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v2
      T_IsDecTotalOrder_546
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecTotalOrder._≤?_
d__'8804''63'__560 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__560 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__560 T_IsDecTotalOrder_546
v0
  = case T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0 of
      C_constructor_618 T_IsTotalOrder_488
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v3
      T_IsDecTotalOrder_546
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecTotalOrder._.antisym
d_antisym_564 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_564 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_564 T_IsDecTotalOrder_546
v0
  = (T_IsPartialOrder_248
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_258
      ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0)))
-- Relation.Binary.Structures.IsDecTotalOrder._.isEquivalence
d_isEquivalence_566 :: T_IsDecTotalOrder_546 -> T_IsEquivalence_28
d_isEquivalence_566 :: T_IsDecTotalOrder_546 -> T_IsEquivalence_28
d_isEquivalence_566 T_IsDecTotalOrder_546
v0
  = (T_IsPreorder_76 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256
         ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder._.isPartialOrder
d_isPartialOrder_568 ::
  T_IsDecTotalOrder_546 -> T_IsPartialOrder_248
d_isPartialOrder_568 :: T_IsDecTotalOrder_546 -> T_IsPartialOrder_248
d_isPartialOrder_568 T_IsDecTotalOrder_546
v0
  = (T_IsTotalOrder_488 -> T_IsPartialOrder_248)
-> AgdaAny -> T_IsPartialOrder_248
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.isPreorder
d_isPreorder_570 :: T_IsDecTotalOrder_546 -> T_IsPreorder_76
d_isPreorder_570 :: T_IsDecTotalOrder_546 -> T_IsPreorder_76
d_isPreorder_570 T_IsDecTotalOrder_546
v0
  = (T_IsPartialOrder_248 -> T_IsPreorder_76)
-> AgdaAny -> T_IsPreorder_76
forall a b. a -> b
coe
      T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256
      ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0)))
-- Relation.Binary.Structures.IsDecTotalOrder._.isTotalPreorder
d_isTotalPreorder_572 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> T_IsTotalPreorder_132
d_isTotalPreorder_572 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_IsTotalPreorder_132
d_isTotalPreorder_572 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_IsTotalPreorder_132
du_isTotalPreorder_572 T_IsDecTotalOrder_546
v6
du_isTotalPreorder_572 ::
  T_IsDecTotalOrder_546 -> T_IsTotalPreorder_132
du_isTotalPreorder_572 :: T_IsDecTotalOrder_546 -> T_IsTotalPreorder_132
du_isTotalPreorder_572 T_IsDecTotalOrder_546
v0
  = (T_IsTotalOrder_488 -> T_IsTotalPreorder_132)
-> AgdaAny -> T_IsTotalPreorder_132
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsTotalPreorder_132
du_isTotalPreorder_538 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.refl
d_refl_574 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
d_refl_574 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
d_refl_574 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6 = T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
du_refl_574 T_IsDecTotalOrder_546
v6
du_refl_574 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
du_refl_574 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
du_refl_574 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_76 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> AgdaAny -> AgdaAny
du_refl_104 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.reflexive
d_reflexive_576 ::
  T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_576 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_576 T_IsDecTotalOrder_546
v0
  = (T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_88
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256
         ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder._.total
d_total_578 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_578 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_578 T_IsDecTotalOrder_546
v0 = (T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe T_IsTotalOrder_488 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_498 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.trans
d_trans_580 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_580 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_580 T_IsDecTotalOrder_546
v0
  = (T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_90
      ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256
         ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_582 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_582 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_Σ_14
d_'8764''45'resp'45''8776'_582 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_Σ_14
du_'8764''45'resp'45''8776'_582 T_IsDecTotalOrder_546
v6
du_'8764''45'resp'45''8776'_582 ::
  T_IsDecTotalOrder_546 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_582 :: T_IsDecTotalOrder_546 -> T_Σ_14
du_'8764''45'resp'45''8776'_582 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
du_'8764''45'resp'45''8776'_124 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_584 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_584 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_584 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_584 T_IsDecTotalOrder_546
v6
du_'8764''45'resp'691''45''8776'_584 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_584 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_584 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_122
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_586 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_586 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_586 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_586 T_IsDecTotalOrder_546
v6
du_'8764''45'resp'737''45''8776'_586 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_586 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_586 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_120
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_588 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_588 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_Σ_14
d_'8818''45'resp'45''8776'_588 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_Σ_14
du_'8818''45'resp'45''8776'_588 T_IsDecTotalOrder_546
v6
du_'8818''45'resp'45''8776'_588 ::
  T_IsDecTotalOrder_546 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_588 :: T_IsDecTotalOrder_546 -> T_Σ_14
du_'8818''45'resp'45''8776'_588 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76 -> T_Σ_14
du_'8818''45'resp'45''8776'_118 ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_590 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_590 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_590 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_590 T_IsDecTotalOrder_546
v6
du_'8818''45'resp'691''45''8776'_590 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_590 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_590 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_112
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_592 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_592 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_592 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_592 T_IsDecTotalOrder_546
v6
du_'8818''45'resp'737''45''8776'_592 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_592 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_592 T_IsDecTotalOrder_546
v0
  = let v1 :: T_IsTotalOrder_488
v1 = T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> T_IsDecTotalOrder_546
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_248
v2 = T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 (T_IsTotalOrder_488 -> T_IsTotalOrder_488
forall a b. a -> b
coe T_IsTotalOrder_488
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_76
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_76
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_106
            ((T_IsPartialOrder_248 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248 -> T_IsPreorder_76
d_isPreorder_256 (T_IsPartialOrder_248 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_248
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder.isDecPartialOrder
d_isDecPartialOrder_594 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
d_isDecPartialOrder_594 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_IsDecPartialOrder_300
d_isDecPartialOrder_594 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 T_IsDecTotalOrder_546
v6
du_isDecPartialOrder_594 ::
  T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 :: T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 T_IsDecTotalOrder_546
v0
  = (T_IsPartialOrder_248
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsDecPartialOrder_300
forall a b. a -> b
coe
      T_IsPartialOrder_248
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> T_IsDecPartialOrder_300
C_constructor_364
      ((T_IsTotalOrder_488 -> T_IsPartialOrder_248) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_488 -> T_IsPartialOrder_248
d_isPartialOrder_496 ((T_IsDecTotalOrder_546 -> T_IsTotalOrder_488) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsTotalOrder_488
d_isTotalOrder_556 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0)))
      ((T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__558 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0)) ((T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__560 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.isDecPreorder
d_isDecPreorder_598 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> T_IsDecPreorder_184
d_isDecPreorder_598 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_IsDecPreorder_184
d_isDecPreorder_598 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_IsDecPreorder_184
du_isDecPreorder_598 T_IsDecTotalOrder_546
v6
du_isDecPreorder_598 ::
  T_IsDecTotalOrder_546 -> T_IsDecPreorder_184
du_isDecPreorder_598 :: T_IsDecTotalOrder_546 -> T_IsDecPreorder_184
du_isDecPreorder_598 T_IsDecTotalOrder_546
v0
  = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> T_IsDecPreorder_184
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 ((T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq._≟_
d__'8799'__602 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__602 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__602 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6 = T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__602 T_IsDecTotalOrder_546
v6
du__'8799'__602 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__602 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__602 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__196 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.isDecEquivalence
d_isDecEquivalence_604 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> T_IsDecEquivalence_48
d_isDecEquivalence_604 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_IsDecEquivalence_48
d_isDecEquivalence_604 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_IsDecEquivalence_48
du_isDecEquivalence_604 T_IsDecTotalOrder_546
v6
du_isDecEquivalence_604 ::
  T_IsDecTotalOrder_546 -> T_IsDecEquivalence_48
du_isDecEquivalence_604 :: T_IsDecTotalOrder_546 -> T_IsDecEquivalence_48
du_isDecEquivalence_604 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      ((T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 ((T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.isEquivalence
d_isEquivalence_606 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> T_IsEquivalence_28
d_isEquivalence_606 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_IsEquivalence_28
d_isEquivalence_606 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_IsEquivalence_28
du_isEquivalence_606 T_IsDecTotalOrder_546
v6
du_isEquivalence_606 :: T_IsDecTotalOrder_546 -> T_IsEquivalence_28
du_isEquivalence_606 :: T_IsDecTotalOrder_546 -> T_IsEquivalence_28
du_isEquivalence_606 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_608 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_608 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_608 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6
  = T_IsDecTotalOrder_546 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_608 T_IsDecTotalOrder_546
v6
du_isPartialEquivalence_608 ::
  T_IsDecTotalOrder_546 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_608 :: T_IsDecTotalOrder_546 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_608 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          AgdaAny -> AgdaAny
forall a b. a -> b
coe
            ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
               T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)))))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.refl
d_refl_610 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
d_refl_610 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
d_refl_610 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6 = T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
du_refl_610 T_IsDecTotalOrder_546
v6
du_refl_610 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
du_refl_610 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny
du_refl_610 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36
            ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.reflexive
d_reflexive_612 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_612 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_612 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6 = T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_612 T_IsDecTotalOrder_546
v6
du_reflexive_612 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_612 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_612 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (let v3 :: AgdaAny
v3 = (T_IsDecPreorder_184 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsDecEquivalence_48
du_isDecEquivalence_224 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2) in
          (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
            (\ AgdaAny
v4 AgdaAny
v5 AgdaAny
v6 ->
               (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v3)) AgdaAny
v4)))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.sym
d_sym_614 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_614 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_614 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6 = T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_614 T_IsDecTotalOrder_546
v6
du_sym_614 ::
  T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_614 :: T_IsDecTotalOrder_546 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_614 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38 ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Structures.IsDecTotalOrder._.Eq.trans
d_trans_616 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_616 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_546
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_616 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_546
v6 = T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_616 T_IsDecTotalOrder_546
v6
du_trans_616 ::
  T_IsDecTotalOrder_546 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_616 :: T_IsDecTotalOrder_546
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_616 T_IsDecTotalOrder_546
v0
  = let v1 :: AgdaAny
v1 = (T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546 -> T_IsDecPartialOrder_300
du_isDecPartialOrder_594 (T_IsDecTotalOrder_546 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_546
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsDecPartialOrder_300 -> T_IsDecPreorder_184)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_300 -> T_IsDecPreorder_184
du_isDecPreorder_342 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
            ((T_IsPreorder_76 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_76 -> T_IsEquivalence_28
d_isEquivalence_86 ((T_IsDecPreorder_184 -> T_IsPreorder_76) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPreorder_184 -> T_IsPreorder_76
d_isPreorder_194 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)))))
-- Relation.Binary.Structures.IsStrictTotalOrder
d_IsStrictTotalOrder_624 :: p -> p -> p -> p -> p -> p -> ()
d_IsStrictTotalOrder_624 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsStrictTotalOrder_624
  = C_constructor_680 T_IsStrictPartialOrder_370
                      (AgdaAny ->
                       AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158)
-- Relation.Binary.Structures.IsStrictTotalOrder.isStrictPartialOrder
d_isStrictPartialOrder_632 ::
  T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 :: T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 T_IsStrictTotalOrder_624
v0
  = case T_IsStrictTotalOrder_624 -> T_IsStrictTotalOrder_624
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0 of
      C_constructor_680 T_IsStrictPartialOrder_370
v1 AgdaAny -> AgdaAny -> T_Tri_158
v2 -> T_IsStrictPartialOrder_370 -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe T_IsStrictPartialOrder_370
v1
      T_IsStrictTotalOrder_624
_ -> T_IsStrictPartialOrder_370
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictTotalOrder.compare
d_compare_634 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_634 :: T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_634 T_IsStrictTotalOrder_624
v0
  = case T_IsStrictTotalOrder_624 -> T_IsStrictTotalOrder_624
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0 of
      C_constructor_680 T_IsStrictPartialOrder_370
v1 AgdaAny -> AgdaAny -> T_Tri_158
v2 -> (AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Tri_158
v2
      T_IsStrictTotalOrder_624
_ -> AgdaAny -> AgdaAny -> T_Tri_158
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictTotalOrder._.<-resp-≈
d_'60''45'resp'45''8776'_638 ::
  T_IsStrictTotalOrder_624 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_638 :: T_IsStrictTotalOrder_624 -> T_Σ_14
d_'60''45'resp'45''8776'_638 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_Σ_14
d_'60''45'resp'45''8776'_388
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_640 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_640 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_640 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_640 T_IsStrictTotalOrder_624
v6
du_'60''45'resp'691''45''8776'_640 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_640 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_640 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_408
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_642 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_642 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_642 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_642 T_IsStrictTotalOrder_624
v6
du_'60''45'resp'737''45''8776'_642 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_642 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_642 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_410
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.asym
d_asym_644 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_644 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_644 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictTotalOrder._.irrefl
d_irrefl_646 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_646 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_646 = T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictTotalOrder._.isEquivalence
d_isEquivalence_648 ::
  T_IsStrictTotalOrder_624 -> T_IsEquivalence_28
d_isEquivalence_648 :: T_IsStrictTotalOrder_624 -> T_IsEquivalence_28
d_isEquivalence_648 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.trans
d_trans_650 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_650 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_650 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_386 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._≟_
d__'8799'__652 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__652 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__652 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 T_IsStrictTotalOrder_624
v6
du__'8799'__652 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__652 :: T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 T_IsStrictTotalOrder_624
v0
  = ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Consequences.du_tri'8658'dec'8776'_548
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_634 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._<?_
d__'60''63'__654 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__654 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__654 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__654 T_IsStrictTotalOrder_624
v6
du__'60''63'__654 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__654 :: T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__654 T_IsStrictTotalOrder_624
v0
  = ((AgdaAny -> AgdaAny -> T_Tri_158)
 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> T_Tri_158) -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Consequences.du_tri'8658'dec'60'_584
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_634 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.isDecStrictPartialOrder
d_isDecStrictPartialOrder_656 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_656 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_656 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_656 T_IsStrictTotalOrder_624
v6
du_isDecStrictPartialOrder_656 ::
  T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_656 :: T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_656 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> T_IsDecStrictPartialOrder_418
C_constructor_482 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)) ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__654 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq.isDecEquivalence
d_isDecEquivalence_660 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
d_isDecEquivalence_660 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> T_IsDecEquivalence_48
d_isDecEquivalence_660 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 T_IsStrictTotalOrder_624
v6
du_isDecEquivalence_660 ::
  T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 :: T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 T_IsStrictTotalOrder_624
v0
  = (T_IsEquivalence_28
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsEquivalence_28
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48
C_constructor_70
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)))
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._._≟_
d__'8799'__664 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__664 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__664 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__664 T_IsStrictTotalOrder_624
v6
du__'8799'__664 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__664 :: T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__664 T_IsStrictTotalOrder_624
v0 = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.isEquivalence
d_isEquivalence_666 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 -> T_IsEquivalence_28
d_isEquivalence_666 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> T_IsEquivalence_28
d_isEquivalence_666 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624 -> T_IsEquivalence_28
du_isEquivalence_666 T_IsStrictTotalOrder_624
v6
du_isEquivalence_666 ::
  T_IsStrictTotalOrder_624 -> T_IsEquivalence_28
du_isEquivalence_666 :: T_IsStrictTotalOrder_624 -> T_IsEquivalence_28
du_isEquivalence_666 T_IsStrictTotalOrder_624
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_668 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_668 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_668 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_668 T_IsStrictTotalOrder_624
v6
du_isPartialEquivalence_668 ::
  T_IsStrictTotalOrder_624 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_668 :: T_IsStrictTotalOrder_624 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_668 T_IsStrictTotalOrder_624
v0
  = let v1 :: AgdaAny
v1 = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.refl
d_refl_670 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny
d_refl_670 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
d_refl_670 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny
du_refl_670 T_IsStrictTotalOrder_624
v6
du_refl_670 :: T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny
du_refl_670 :: T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny
du_refl_670 T_IsStrictTotalOrder_624
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.reflexive
d_reflexive_672 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_672 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_672 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_672 T_IsStrictTotalOrder_624
v6
du_reflexive_672 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_672 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_672 T_IsStrictTotalOrder_624
v0
  = let v1 :: AgdaAny
v1 = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.sym
d_sym_674 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_674 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_674 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_674 T_IsStrictTotalOrder_624
v6
du_sym_674 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_674 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_674 T_IsStrictTotalOrder_624
v0
  = (T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.trans
d_trans_676 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_676 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_676 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6 = T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_676 T_IsStrictTotalOrder_624
v6
du_trans_676 ::
  T_IsStrictTotalOrder_624 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_676 :: T_IsStrictTotalOrder_624
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_676 T_IsStrictTotalOrder_624
v0
  = (T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)))
-- Relation.Binary.Structures.IsStrictTotalOrder.isDecEquivalence
d_isDecEquivalence_678 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
d_isDecEquivalence_678 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_624
-> T_IsDecEquivalence_48
d_isDecEquivalence_678 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_624
v6
  = T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_678 T_IsStrictTotalOrder_624
v6
du_isDecEquivalence_678 ::
  T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_678 :: T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_678 T_IsStrictTotalOrder_624
v0
  = (T_IsEquivalence_28
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsEquivalence_28
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_48
C_constructor_70
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0)))
      ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder
d_IsDenseLinearOrder_686 :: p -> p -> p -> p -> p -> p -> ()
d_IsDenseLinearOrder_686 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDenseLinearOrder_686
  = C_constructor_744 T_IsStrictTotalOrder_624
                      (AgdaAny ->
                       AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14)
-- Relation.Binary.Structures.IsDenseLinearOrder.isStrictTotalOrder
d_isStrictTotalOrder_694 ::
  T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 :: T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 T_IsDenseLinearOrder_686
v0
  = case T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0 of
      C_constructor_744 T_IsStrictTotalOrder_624
v1 AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
v2 -> T_IsStrictTotalOrder_624 -> T_IsStrictTotalOrder_624
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1
      T_IsDenseLinearOrder_686
_ -> T_IsStrictTotalOrder_624
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDenseLinearOrder.dense
d_dense_696 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_dense_696 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
d_dense_696 T_IsDenseLinearOrder_686
v0
  = case T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0 of
      C_constructor_744 T_IsStrictTotalOrder_624
v1 AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
v2 -> (AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
v2
      T_IsDenseLinearOrder_686
_ -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDenseLinearOrder._._<?_
d__'60''63'__700 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__700 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__700 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__700 T_IsDenseLinearOrder_686
v6
du__'60''63'__700 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__700 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__700 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__654 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._._≟_
d__'8799'__702 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__702 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__702 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__702 T_IsDenseLinearOrder_686
v6
du__'8799'__702 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__702 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__702 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.<-resp-≈
d_'60''45'resp'45''8776'_704 ::
  T_IsDenseLinearOrder_686 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_704 :: T_IsDenseLinearOrder_686 -> T_Σ_14
d_'60''45'resp'45''8776'_704 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictPartialOrder_370 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_Σ_14
d_'60''45'resp'45''8776'_388
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_706 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_706 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_706 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_706 T_IsDenseLinearOrder_686
v6
du_'60''45'resp'691''45''8776'_706 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_706 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_706 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_408
         ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_708 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_708 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_708 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_708 T_IsDenseLinearOrder_686
v6
du_'60''45'resp'737''45''8776'_708 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_708 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_708 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_410
         ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.asym
d_asym_710 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_710 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_710 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDenseLinearOrder._.compare
d_compare_712 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_712 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_712 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_634 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.irrefl
d_irrefl_714 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_714 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_714 = T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDenseLinearOrder._.isDecEquivalence
d_isDecEquivalence_716 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
d_isDecEquivalence_716 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> T_IsDecEquivalence_48
d_isDecEquivalence_716 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
du_isDecEquivalence_716 T_IsDenseLinearOrder_686
v6
du_isDecEquivalence_716 ::
  T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
du_isDecEquivalence_716 :: T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
du_isDecEquivalence_716 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_678 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_718 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 -> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_718 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> T_IsDecStrictPartialOrder_418
d_isDecStrictPartialOrder_718 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_718 T_IsDenseLinearOrder_686
v6
du_isDecStrictPartialOrder_718 ::
  T_IsDenseLinearOrder_686 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_718 :: T_IsDenseLinearOrder_686 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_718 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418)
-> AgdaAny -> T_IsDecStrictPartialOrder_418
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsDecStrictPartialOrder_418
du_isDecStrictPartialOrder_656
      ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.isEquivalence
d_isEquivalence_720 ::
  T_IsDenseLinearOrder_686 -> T_IsEquivalence_28
d_isEquivalence_720 :: T_IsDenseLinearOrder_686 -> T_IsEquivalence_28
d_isEquivalence_720 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.isStrictPartialOrder
d_isStrictPartialOrder_722 ::
  T_IsDenseLinearOrder_686 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_722 :: T_IsDenseLinearOrder_686 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_722 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> T_IsStrictPartialOrder_370
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.trans
d_trans_724 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_724 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_724 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictPartialOrder_370
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_370
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_386
      ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq._≟_
d__'8799'__728 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__728 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__728 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__728 T_IsDenseLinearOrder_686
v6
du__'8799'__728 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__728 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__728 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe ((T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__652 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.isDecEquivalence
d_isDecEquivalence_730 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
d_isDecEquivalence_730 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> T_IsDecEquivalence_48
d_isDecEquivalence_730 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
du_isDecEquivalence_730 T_IsDenseLinearOrder_686
v6
du_isDecEquivalence_730 ::
  T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
du_isDecEquivalence_730 :: T_IsDenseLinearOrder_686 -> T_IsDecEquivalence_48
du_isDecEquivalence_730 T_IsDenseLinearOrder_686
v0
  = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> T_IsDecEquivalence_48
forall a b. a -> b
coe
      T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 ((T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.isEquivalence
d_isEquivalence_732 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 -> T_IsEquivalence_28
d_isEquivalence_732 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> T_IsEquivalence_28
d_isEquivalence_732 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686 -> T_IsEquivalence_28
du_isEquivalence_732 T_IsDenseLinearOrder_686
v6
du_isEquivalence_732 ::
  T_IsDenseLinearOrder_686 -> T_IsEquivalence_28
du_isEquivalence_732 :: T_IsDenseLinearOrder_686 -> T_IsEquivalence_28
du_isEquivalence_732 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny -> T_IsEquivalence_28
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_734 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_734 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_734 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6
  = T_IsDenseLinearOrder_686 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_734 T_IsDenseLinearOrder_686
v6
du_isPartialEquivalence_734 ::
  T_IsDenseLinearOrder_686 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_734 :: T_IsDenseLinearOrder_686 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_734 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_28 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_44 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2))))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.refl
d_refl_736 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny
d_refl_736 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
d_refl_736 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny
du_refl_736 T_IsDenseLinearOrder_686
v6
du_refl_736 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny
du_refl_736 :: T_IsDenseLinearOrder_686 -> AgdaAny -> AgdaAny
du_refl_736 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny
d_refl_36
         ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1))))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.reflexive
d_reflexive_738 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_738 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_738 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_738 T_IsDenseLinearOrder_686
v6
du_reflexive_738 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_738 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_738 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: AgdaAny
v2 = (T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsDecEquivalence_48
du_isDecEquivalence_660 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_28 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_28 -> AgdaAny -> AgdaAny
du_reflexive_42 ((T_IsDecEquivalence_48 -> T_IsEquivalence_28) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_48 -> T_IsEquivalence_28
d_isEquivalence_54 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v2)) AgdaAny
v3))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.sym
d_sym_740 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_740 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_740 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_740 T_IsDenseLinearOrder_686
v6
du_sym_740 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_740 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_740 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_38
         ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1))))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.trans
d_trans_742 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_742 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_686
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_742 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_686
v6 = T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_742 T_IsDenseLinearOrder_686
v6
du_trans_742 ::
  T_IsDenseLinearOrder_686 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_742 :: T_IsDenseLinearOrder_686
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_742 T_IsDenseLinearOrder_686
v0
  = let v1 :: T_IsStrictTotalOrder_624
v1 = T_IsDenseLinearOrder_686 -> T_IsStrictTotalOrder_624
d_isStrictTotalOrder_694 (T_IsDenseLinearOrder_686 -> T_IsDenseLinearOrder_686
forall a b. a -> b
coe T_IsDenseLinearOrder_686
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_28
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_28
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_40
         ((T_IsStrictPartialOrder_370 -> T_IsEquivalence_28)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_370 -> T_IsEquivalence_28
d_isEquivalence_382 ((T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624 -> T_IsStrictPartialOrder_370
d_isStrictPartialOrder_632 (T_IsStrictTotalOrder_624 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_624
v1))))
-- Relation.Binary.Structures.IsApartnessRelation
d_IsApartnessRelation_750 :: p -> p -> p -> p -> p -> p -> ()
d_IsApartnessRelation_750 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsApartnessRelation_750
  = C_constructor_772 (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                      (AgdaAny ->
                       AgdaAny ->
                       AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30)
-- Relation.Binary.Structures.IsApartnessRelation.irrefl
d_irrefl_760 ::
  T_IsApartnessRelation_750 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_760 :: T_IsApartnessRelation_750
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_760 = T_IsApartnessRelation_750
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsApartnessRelation.sym
d_sym_762 ::
  T_IsApartnessRelation_750 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_762 :: T_IsApartnessRelation_750
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_762 T_IsApartnessRelation_750
v0
  = case T_IsApartnessRelation_750 -> T_IsApartnessRelation_750
forall a b. a -> b
coe T_IsApartnessRelation_750
v0 of
      C_constructor_772 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
v3 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2
      T_IsApartnessRelation_750
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsApartnessRelation.cotrans
d_cotrans_764 ::
  T_IsApartnessRelation_750 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_cotrans_764 :: T_IsApartnessRelation_750
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
d_cotrans_764 T_IsApartnessRelation_750
v0
  = case T_IsApartnessRelation_750 -> T_IsApartnessRelation_750
forall a b. a -> b
coe T_IsApartnessRelation_750
v0 of
      C_constructor_772 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
v3 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
v3
      T_IsApartnessRelation_750
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsApartnessRelation._¬#_
d__'172''35'__766 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsApartnessRelation_750 -> AgdaAny -> AgdaAny -> ()
d__'172''35'__766 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsApartnessRelation_750
-> AgdaAny
-> AgdaAny
-> ()
d__'172''35'__766 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsApartnessRelation_750
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased