{-# 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_IsPartialEquivalence'46'constructor_273 (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_IsPartialEquivalence'46'constructor_273 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_IsPartialEquivalence'46'constructor_273 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_26 :: p -> p -> p -> p -> ()
d_IsEquivalence_26 p
a0 p
a1 p
a2 p
a3 = ()
data T_IsEquivalence_26
  = C_IsEquivalence'46'constructor_745 (AgdaAny -> AgdaAny)
                                       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                                       (AgdaAny ->
                                        AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsEquivalence.refl
d_refl_34 :: T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 :: T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 T_IsEquivalence_26
v0
  = case T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v0 of
      C_IsEquivalence'46'constructor_745 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_26
_ -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence.sym
d_sym_36 ::
  T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 :: T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 T_IsEquivalence_26
v0
  = case T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v0 of
      C_IsEquivalence'46'constructor_745 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_26
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence.trans
d_trans_38 ::
  T_IsEquivalence_26 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 :: T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 T_IsEquivalence_26
v0
  = case T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v0 of
      C_IsEquivalence'46'constructor_745 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_26
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsEquivalence.reflexive
d_reflexive_40 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsEquivalence_26 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_40 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsEquivalence_26
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_40 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsEquivalence_26
v4 AgdaAny
v5 ~AgdaAny
v6 ~T__'8801'__12
v7
  = T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 T_IsEquivalence_26
v4 AgdaAny
v5
du_reflexive_40 :: T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 :: T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 T_IsEquivalence_26
v0 AgdaAny
v1 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 T_IsEquivalence_26
v0 AgdaAny
v1
-- Relation.Binary.Structures.IsEquivalence.isPartialEquivalence
d_isPartialEquivalence_42 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsEquivalence_26 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_42 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsEquivalence_26
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_42 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsEquivalence_26
v4
  = T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 T_IsEquivalence_26
v4
du_isPartialEquivalence_42 ::
  T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 :: T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 T_IsEquivalence_26
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_IsPartialEquivalence'46'constructor_273 ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v0))
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v0))
-- Relation.Binary.Structures.IsDecEquivalence
d_IsDecEquivalence_44 :: p -> p -> p -> p -> ()
d_IsDecEquivalence_44 p
a0 p
a1 p
a2 p
a3 = ()
data T_IsDecEquivalence_44
  = C_IsDecEquivalence'46'constructor_3083 T_IsEquivalence_26
                                           (AgdaAny ->
                                            AgdaAny ->
                                            MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20)
-- Relation.Binary.Structures.IsDecEquivalence.isEquivalence
d_isEquivalence_50 :: T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 :: T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 T_IsDecEquivalence_44
v0
  = case T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
forall a b. a -> b
coe T_IsDecEquivalence_44
v0 of
      C_IsDecEquivalence'46'constructor_3083 T_IsEquivalence_26
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 -> T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v1
      T_IsDecEquivalence_44
_ -> T_IsEquivalence_26
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecEquivalence._≟_
d__'8799'__52 ::
  T_IsDecEquivalence_44 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__52 :: T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__52 T_IsDecEquivalence_44
v0
  = case T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
forall a b. a -> b
coe T_IsDecEquivalence_44
v0 of
      C_IsDecEquivalence'46'constructor_3083 T_IsEquivalence_26
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_44
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecEquivalence._.isPartialEquivalence
d_isPartialEquivalence_56 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecEquivalence_44 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_56 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecEquivalence_44
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_56 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsDecEquivalence_44
v4
  = T_IsDecEquivalence_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_56 T_IsDecEquivalence_44
v4
du_isPartialEquivalence_56 ::
  T_IsDecEquivalence_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_56 :: T_IsDecEquivalence_44 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_56 T_IsDecEquivalence_44
v0
  = (T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0))
-- Relation.Binary.Structures.IsDecEquivalence._.refl
d_refl_58 :: T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny
d_refl_58 :: T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny
d_refl_58 T_IsDecEquivalence_44
v0 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0))
-- Relation.Binary.Structures.IsDecEquivalence._.reflexive
d_reflexive_60 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  (AgdaAny -> AgdaAny -> ()) ->
  T_IsDecEquivalence_44 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_60 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecEquivalence_44
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_60 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 T_IsDecEquivalence_44
v4 = T_IsDecEquivalence_44
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_60 T_IsDecEquivalence_44
v4
du_reflexive_60 ::
  T_IsDecEquivalence_44 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_60 :: T_IsDecEquivalence_44
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_60 T_IsDecEquivalence_44
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0)) AgdaAny
v1
-- Relation.Binary.Structures.IsDecEquivalence._.sym
d_sym_62 ::
  T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_62 :: T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_62 T_IsDecEquivalence_44
v0 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0))
-- Relation.Binary.Structures.IsDecEquivalence._.trans
d_trans_64 ::
  T_IsDecEquivalence_44 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_64 :: T_IsDecEquivalence_44
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_64 T_IsDecEquivalence_44
v0 = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0))
-- Relation.Binary.Structures.IsPreorder
d_IsPreorder_70 :: p -> p -> p -> p -> p -> p -> ()
d_IsPreorder_70 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsPreorder_70
  = C_IsPreorder'46'constructor_4003 T_IsEquivalence_26
                                     (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                                     (AgdaAny ->
                                      AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsPreorder.isEquivalence
d_isEquivalence_80 :: T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 :: T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 T_IsPreorder_70
v0
  = case T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v0 of
      C_IsPreorder'46'constructor_4003 T_IsEquivalence_26
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 -> T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v1
      T_IsPreorder_70
_ -> T_IsEquivalence_26
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPreorder.reflexive
d_reflexive_82 ::
  T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 T_IsPreorder_70
v0
  = case T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v0 of
      C_IsPreorder'46'constructor_4003 T_IsEquivalence_26
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_70
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPreorder.trans
d_trans_84 ::
  T_IsPreorder_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84 :: T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84 T_IsPreorder_70
v0
  = case T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v0 of
      C_IsPreorder'46'constructor_4003 T_IsEquivalence_26
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_70
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPreorder.Eq.isPartialEquivalence
d_isPartialEquivalence_88 ::
  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_70 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_88 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_88 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6
  = T_IsPreorder_70 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_88 T_IsPreorder_70
v6
du_isPartialEquivalence_88 ::
  T_IsPreorder_70 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_88 :: T_IsPreorder_70 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_88 T_IsPreorder_70
v0
  = (T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
-- Relation.Binary.Structures.IsPreorder.Eq.refl
d_refl_90 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny
d_refl_90 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny
d_refl_90 T_IsPreorder_70
v0 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
-- Relation.Binary.Structures.IsPreorder.Eq.reflexive
d_reflexive_92 ::
  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_70 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_92 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_92 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6 = T_IsPreorder_70 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_92 T_IsPreorder_70
v6
du_reflexive_92 ::
  T_IsPreorder_70 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_92 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_92 T_IsPreorder_70
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0)) AgdaAny
v1
-- Relation.Binary.Structures.IsPreorder.Eq.sym
d_sym_94 ::
  T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_94 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_94 T_IsPreorder_70
v0 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
-- Relation.Binary.Structures.IsPreorder.Eq.trans
d_trans_96 ::
  T_IsPreorder_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_96 :: T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_96 T_IsPreorder_70
v0 = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
-- Relation.Binary.Structures.IsPreorder.refl
d_refl_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_70 -> AgdaAny -> AgdaAny
d_refl_98 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
d_refl_98 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6 AgdaAny
v7 = T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 T_IsPreorder_70
v6 AgdaAny
v7
du_refl_98 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 :: T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 T_IsPreorder_70
v0 AgdaAny
v1
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 T_IsPreorder_70
v0 AgdaAny
v1 AgdaAny
v1
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 (T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v0)) AgdaAny
v1)
-- Relation.Binary.Structures.IsPreorder.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_100 ::
  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_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_100 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_100 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6 AgdaAny
v7
                                    AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100 T_IsPreorder_70
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_'8818''45'resp'737''45''8776'_100 ::
  T_IsPreorder_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100 :: T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100 T_IsPreorder_70
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84 T_IsPreorder_70
v0 AgdaAny
v3 AgdaAny
v2 AgdaAny
v1
      ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 T_IsPreorder_70
v0 AgdaAny
v3 AgdaAny
v2
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 (T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v0)) AgdaAny
v2 AgdaAny
v3 AgdaAny
v4))
      AgdaAny
v5
-- Relation.Binary.Structures.IsPreorder.≲-respʳ-≈
d_'8818''45'resp'691''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_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_106 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_106 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6 AgdaAny
v7
                                    AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
  = T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106 T_IsPreorder_70
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9 AgdaAny
v10 AgdaAny
v11
du_'8818''45'resp'691''45''8776'_106 ::
  T_IsPreorder_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106 :: T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106 T_IsPreorder_70
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 AgdaAny
v5
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84 T_IsPreorder_70
v0 AgdaAny
v1 AgdaAny
v2 AgdaAny
v3 AgdaAny
v5 ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 T_IsPreorder_70
v0 AgdaAny
v2 AgdaAny
v3 AgdaAny
v4)
-- Relation.Binary.Structures.IsPreorder.≲-resp-≈
d_'8818''45'resp'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_70 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_112 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> T_Σ_14
d_'8818''45'resp'45''8776'_112 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6
  = T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 T_IsPreorder_70
v6
du_'8818''45'resp'45''8776'_112 ::
  T_IsPreorder_70 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_112 :: T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 T_IsPreorder_70
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_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
-- Relation.Binary.Structures.IsPreorder.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_114 ::
  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_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_114 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_114 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6
  = T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114 T_IsPreorder_70
v6
du_'8764''45'resp'737''45''8776'_114 ::
  T_IsPreorder_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114 :: T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114 T_IsPreorder_70
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0)
-- Relation.Binary.Structures.IsPreorder.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_116 ::
  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_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_116 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_116 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6
  = T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116 T_IsPreorder_70
v6
du_'8764''45'resp'691''45''8776'_116 ::
  T_IsPreorder_70 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116 :: T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116 T_IsPreorder_70
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0)
-- Relation.Binary.Structures.IsPreorder.∼-resp-≈
d_'8764''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_70 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_118 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPreorder_70
-> T_Σ_14
d_'8764''45'resp'45''8776'_118 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPreorder_70
v6
  = T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 T_IsPreorder_70
v6
du_'8764''45'resp'45''8776'_118 ::
  T_IsPreorder_70 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_118 :: T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 T_IsPreorder_70
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0)
-- Relation.Binary.Structures.IsTotalPreorder
d_IsTotalPreorder_124 :: p -> p -> p -> p -> p -> p -> ()
d_IsTotalPreorder_124 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsTotalPreorder_124
  = C_IsTotalPreorder'46'constructor_8325 T_IsPreorder_70
                                          (AgdaAny ->
                                           AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30)
-- Relation.Binary.Structures.IsTotalPreorder.isPreorder
d_isPreorder_132 :: T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 :: T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 T_IsTotalPreorder_124
v0
  = case T_IsTotalPreorder_124 -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_IsTotalPreorder_124
v0 of
      C_IsTotalPreorder'46'constructor_8325 T_IsPreorder_70
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 -> T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v1
      T_IsTotalPreorder_124
_ -> T_IsPreorder_70
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalPreorder.total
d_total_134 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_134 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_134 T_IsTotalPreorder_124
v0
  = case T_IsTotalPreorder_124 -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_IsTotalPreorder_124
v0 of
      C_IsTotalPreorder'46'constructor_8325 T_IsPreorder_70
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_124
_ -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalPreorder._.isEquivalence
d_isEquivalence_138 :: T_IsTotalPreorder_124 -> T_IsEquivalence_26
d_isEquivalence_138 :: T_IsTotalPreorder_124 -> T_IsEquivalence_26
d_isEquivalence_138 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.refl
d_refl_140 ::
  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_124 -> AgdaAny -> AgdaAny
d_refl_140 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> AgdaAny
-> AgdaAny
d_refl_140 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6 = T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny
du_refl_140 T_IsTotalPreorder_124
v6
du_refl_140 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny
du_refl_140 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny
du_refl_140 T_IsTotalPreorder_124
v0 = (T_IsPreorder_70 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.reflexive
d_reflexive_142 ::
  T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_142 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_142 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.trans
d_trans_144 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_144 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_144 T_IsTotalPreorder_124
v0 = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.∼-resp-≈
d_'8764''45'resp'45''8776'_146 ::
  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_124 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_146 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> T_Σ_14
d_'8764''45'resp'45''8776'_146 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124 -> T_Σ_14
du_'8764''45'resp'45''8776'_146 T_IsTotalPreorder_124
v6
du_'8764''45'resp'45''8776'_146 ::
  T_IsTotalPreorder_124 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_146 :: T_IsTotalPreorder_124 -> T_Σ_14
du_'8764''45'resp'45''8776'_146 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_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_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_148 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_148 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_148 T_IsTotalPreorder_124
v6
du_'8764''45'resp'691''45''8776'_148 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_148 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_148 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_150 ::
  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_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_150 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_150 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_150 T_IsTotalPreorder_124
v6
du_'8764''45'resp'737''45''8776'_150 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_150 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_150 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.≲-resp-≈
d_'8818''45'resp'45''8776'_152 ::
  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_124 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_152 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> T_Σ_14
d_'8818''45'resp'45''8776'_152 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124 -> T_Σ_14
du_'8818''45'resp'45''8776'_152 T_IsTotalPreorder_124
v6
du_'8818''45'resp'45''8776'_152 ::
  T_IsTotalPreorder_124 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_152 :: T_IsTotalPreorder_124 -> T_Σ_14
du_'8818''45'resp'45''8776'_152 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.≲-respʳ-≈
d_'8818''45'resp'691''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_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_154 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_154 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_154 T_IsTotalPreorder_124
v6
du_'8818''45'resp'691''45''8776'_154 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_154 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_154 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.≲-respˡ-≈
d_'8818''45'resp'737''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_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_156 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_156 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_156 T_IsTotalPreorder_124
v6
du_'8818''45'resp'737''45''8776'_156 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_156 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_156 T_IsTotalPreorder_124
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100
      ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.isPartialEquivalence
d_isPartialEquivalence_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_124 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_160 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_160 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6
  = T_IsTotalPreorder_124 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_160 T_IsTotalPreorder_124
v6
du_isPartialEquivalence_160 ::
  T_IsTotalPreorder_124 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_160 :: T_IsTotalPreorder_124 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_160 T_IsTotalPreorder_124
v0
  = let v1 :: T_IsPreorder_70
v1 = T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_IsTotalPreorder_124
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.refl
d_refl_162 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny
d_refl_162 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny
d_refl_162 T_IsTotalPreorder_124
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0)))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.reflexive
d_reflexive_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_124 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_164 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalPreorder_124
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_164 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalPreorder_124
v6 = T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_164 T_IsTotalPreorder_124
v6
du_reflexive_164 ::
  T_IsTotalPreorder_124 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_164 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_164 T_IsTotalPreorder_124
v0
  = let v1 :: T_IsPreorder_70
v1 = T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_IsTotalPreorder_124
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.sym
d_sym_166 ::
  T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_166 :: T_IsTotalPreorder_124 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_166 T_IsTotalPreorder_124
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0)))
-- Relation.Binary.Structures.IsTotalPreorder._.Eq.trans
d_trans_168 ::
  T_IsTotalPreorder_124 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_168 :: T_IsTotalPreorder_124
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_168 T_IsTotalPreorder_124
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsTotalPreorder_124 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124 -> T_IsPreorder_70
d_isPreorder_132 (T_IsTotalPreorder_124 -> AgdaAny
forall a b. a -> b
coe T_IsTotalPreorder_124
v0)))
-- Relation.Binary.Structures.IsPartialOrder
d_IsPartialOrder_174 :: p -> p -> p -> p -> p -> p -> ()
d_IsPartialOrder_174 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsPartialOrder_174
  = C_IsPartialOrder'46'constructor_9853 T_IsPreorder_70
                                         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-- Relation.Binary.Structures.IsPartialOrder.isPreorder
d_isPreorder_182 :: T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 :: T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 T_IsPartialOrder_174
v0
  = case T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v0 of
      C_IsPartialOrder'46'constructor_9853 T_IsPreorder_70
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v2 -> T_IsPreorder_70 -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPreorder_70
v1
      T_IsPartialOrder_174
_ -> T_IsPreorder_70
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPartialOrder.antisym
d_antisym_184 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_184 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_184 T_IsPartialOrder_174
v0
  = case T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v0 of
      C_IsPartialOrder'46'constructor_9853 T_IsPreorder_70
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_174
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsPartialOrder._.isEquivalence
d_isEquivalence_188 :: T_IsPartialOrder_174 -> T_IsEquivalence_26
d_isEquivalence_188 :: T_IsPartialOrder_174 -> T_IsEquivalence_26
d_isEquivalence_188 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.refl
d_refl_190 ::
  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_174 -> AgdaAny -> AgdaAny
d_refl_190 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> AgdaAny
-> AgdaAny
d_refl_190 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6 = T_IsPartialOrder_174 -> AgdaAny -> AgdaAny
du_refl_190 T_IsPartialOrder_174
v6
du_refl_190 :: T_IsPartialOrder_174 -> AgdaAny -> AgdaAny
du_refl_190 :: T_IsPartialOrder_174 -> AgdaAny -> AgdaAny
du_refl_190 T_IsPartialOrder_174
v0 = (T_IsPreorder_70 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.reflexive
d_reflexive_192 ::
  T_IsPartialOrder_174 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_192 :: T_IsPartialOrder_174 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_192 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.trans
d_trans_194 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_194 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_194 T_IsPartialOrder_174
v0 = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_196 ::
  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_174 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_196 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> T_Σ_14
d_'8764''45'resp'45''8776'_196 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174 -> T_Σ_14
du_'8764''45'resp'45''8776'_196 T_IsPartialOrder_174
v6
du_'8764''45'resp'45''8776'_196 ::
  T_IsPartialOrder_174 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_196 :: T_IsPartialOrder_174 -> T_Σ_14
du_'8764''45'resp'45''8776'_196 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_198 ::
  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_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_198 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_198 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_198 T_IsPartialOrder_174
v6
du_'8764''45'resp'691''45''8776'_198 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_198 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_198 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_200 ::
  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_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_200 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_200 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_200 T_IsPartialOrder_174
v6
du_'8764''45'resp'737''45''8776'_200 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_200 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_200 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_202 ::
  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_174 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_202 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> T_Σ_14
d_'8818''45'resp'45''8776'_202 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174 -> T_Σ_14
du_'8818''45'resp'45''8776'_202 T_IsPartialOrder_174
v6
du_'8818''45'resp'45''8776'_202 ::
  T_IsPartialOrder_174 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_202 :: T_IsPartialOrder_174 -> T_Σ_14
du_'8818''45'resp'45''8776'_202 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_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_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_204 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_204 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_204 T_IsPartialOrder_174
v6
du_'8818''45'resp'691''45''8776'_204 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_204 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_204 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_206 ::
  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_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_206 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_206 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_206 T_IsPartialOrder_174
v6
du_'8818''45'resp'737''45''8776'_206 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_206 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_206 T_IsPartialOrder_174
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_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_IsPartialOrder_174 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_210 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_210 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6
  = T_IsPartialOrder_174 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_210 T_IsPartialOrder_174
v6
du_isPartialEquivalence_210 ::
  T_IsPartialOrder_174 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_210 :: T_IsPartialOrder_174 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_210 T_IsPartialOrder_174
v0
  = let v1 :: T_IsPreorder_70
v1 = T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.refl
d_refl_212 :: T_IsPartialOrder_174 -> AgdaAny -> AgdaAny
d_refl_212 :: T_IsPartialOrder_174 -> AgdaAny -> AgdaAny
d_refl_212 T_IsPartialOrder_174
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0)))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.reflexive
d_reflexive_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_IsPartialOrder_174 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_214 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsPartialOrder_174
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_214 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsPartialOrder_174
v6 = T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_214 T_IsPartialOrder_174
v6
du_reflexive_214 ::
  T_IsPartialOrder_174 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_214 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_214 T_IsPartialOrder_174
v0
  = let v1 :: T_IsPreorder_70
v1 = T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsPartialOrder._.Eq.sym
d_sym_216 ::
  T_IsPartialOrder_174 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_216 :: T_IsPartialOrder_174 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_216 T_IsPartialOrder_174
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0)))
-- Relation.Binary.Structures.IsPartialOrder._.Eq.trans
d_trans_218 ::
  T_IsPartialOrder_174 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_218 :: T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_218 T_IsPartialOrder_174
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder
d_IsDecPartialOrder_224 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecPartialOrder_224 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecPartialOrder_224
  = C_IsDecPartialOrder'46'constructor_11683 T_IsPartialOrder_174
                                             (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_234 ::
  T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 :: T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 T_IsDecPartialOrder_224
v0
  = case T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0 of
      C_IsDecPartialOrder'46'constructor_11683 T_IsPartialOrder_174
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v1
      T_IsDecPartialOrder_224
_ -> T_IsPartialOrder_174
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPartialOrder._≟_
d__'8799'__236 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__236 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__236 T_IsDecPartialOrder_224
v0
  = case T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0 of
      C_IsDecPartialOrder'46'constructor_11683 T_IsPartialOrder_174
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_224
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPartialOrder._≤?_
d__'8804''63'__238 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__238 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__238 T_IsDecPartialOrder_224
v0
  = case T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0 of
      C_IsDecPartialOrder'46'constructor_11683 T_IsPartialOrder_174
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_224
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecPartialOrder._.antisym
d_antisym_242 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_242 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_242 T_IsDecPartialOrder_224
v0
  = (T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_184 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))
-- Relation.Binary.Structures.IsDecPartialOrder._.isEquivalence
d_isEquivalence_244 ::
  T_IsDecPartialOrder_224 -> T_IsEquivalence_26
d_isEquivalence_244 :: T_IsDecPartialOrder_224 -> T_IsEquivalence_26
d_isEquivalence_244 T_IsDecPartialOrder_224
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder._.isPreorder
d_isPreorder_246 :: T_IsDecPartialOrder_224 -> T_IsPreorder_70
d_isPreorder_246 :: T_IsDecPartialOrder_224 -> T_IsPreorder_70
d_isPreorder_246 T_IsDecPartialOrder_224
v0
  = (T_IsPartialOrder_174 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))
-- Relation.Binary.Structures.IsDecPartialOrder._.refl
d_refl_248 ::
  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_224 -> AgdaAny -> AgdaAny
d_refl_248 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
d_refl_248 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6 = T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
du_refl_248 T_IsDecPartialOrder_224
v6
du_refl_248 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
du_refl_248 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
du_refl_248 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.reflexive
d_reflexive_250 ::
  T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_250 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_250 T_IsDecPartialOrder_224
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder._.trans
d_trans_252 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_252 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_252 T_IsDecPartialOrder_224
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_254 ::
  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_224 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_254 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> T_Σ_14
d_'8764''45'resp'45''8776'_254 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224 -> T_Σ_14
du_'8764''45'resp'45''8776'_254 T_IsDecPartialOrder_224
v6
du_'8764''45'resp'45''8776'_254 ::
  T_IsDecPartialOrder_224 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_254 :: T_IsDecPartialOrder_224 -> T_Σ_14
du_'8764''45'resp'45''8776'_254 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_256 ::
  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_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_256 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_256 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_256 T_IsDecPartialOrder_224
v6
du_'8764''45'resp'691''45''8776'_256 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_256 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_256 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_258 ::
  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_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_258 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_258 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_258 T_IsDecPartialOrder_224
v6
du_'8764''45'resp'737''45''8776'_258 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_258 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_258 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_260 ::
  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_224 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_260 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> T_Σ_14
d_'8818''45'resp'45''8776'_260 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224 -> T_Σ_14
du_'8818''45'resp'45''8776'_260 T_IsDecPartialOrder_224
v6
du_'8818''45'resp'45''8776'_260 ::
  T_IsDecPartialOrder_224 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_260 :: T_IsDecPartialOrder_224 -> T_Σ_14
du_'8818''45'resp'45''8776'_260 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_262 ::
  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_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_262 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_262 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_262 T_IsDecPartialOrder_224
v6
du_'8818''45'resp'691''45''8776'_262 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_262 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_262 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_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_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_264 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_264 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_264 T_IsDecPartialOrder_224
v6
du_'8818''45'resp'737''45''8776'_264 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_264 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_264 T_IsDecPartialOrder_224
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> T_IsDecPartialOrder_224
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder.Eq.isDecEquivalence
d_isDecEquivalence_268 ::
  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_224 -> T_IsDecEquivalence_44
d_isDecEquivalence_268 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> T_IsDecEquivalence_44
d_isDecEquivalence_268 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
du_isDecEquivalence_268 T_IsDecPartialOrder_224
v6
du_isDecEquivalence_268 ::
  T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
du_isDecEquivalence_268 :: T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
du_isDecEquivalence_268 T_IsDecPartialOrder_224
v0
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44
C_IsDecEquivalence'46'constructor_3083
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))))
      ((T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__236 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._._≟_
d__'8799'__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_IsDecPartialOrder_224 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__272 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__272 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6 = T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__272 T_IsDecPartialOrder_224
v6
du__'8799'__272 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__272 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__272 T_IsDecPartialOrder_224
v0 = (T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__236 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0)
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._.isEquivalence
d_isEquivalence_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_IsDecPartialOrder_224 -> T_IsEquivalence_26
d_isEquivalence_274 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> T_IsEquivalence_26
d_isEquivalence_274 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224 -> T_IsEquivalence_26
du_isEquivalence_274 T_IsDecPartialOrder_224
v6
du_isEquivalence_274 ::
  T_IsDecPartialOrder_224 -> T_IsEquivalence_26
du_isEquivalence_274 :: T_IsDecPartialOrder_224 -> T_IsEquivalence_26
du_isEquivalence_274 T_IsDecPartialOrder_224
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0)))
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_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_IsDecPartialOrder_224 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_276 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_276 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6
  = T_IsDecPartialOrder_224 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_276 T_IsDecPartialOrder_224
v6
du_isPartialEquivalence_276 ::
  T_IsDecPartialOrder_224 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_276 :: T_IsDecPartialOrder_224 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_276 T_IsDecPartialOrder_224
v0
  = let v1 :: t
v1 = (T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
du_isDecEquivalence_268 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._.refl
d_refl_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_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
d_refl_278 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
d_refl_278 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6 = T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
du_refl_278 T_IsDecPartialOrder_224
v6
du_refl_278 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
du_refl_278 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny
du_refl_278 T_IsDecPartialOrder_224
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))))
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._.reflexive
d_reflexive_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_IsDecPartialOrder_224 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_280 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_280 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6 = T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_280 T_IsDecPartialOrder_224
v6
du_reflexive_280 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_280 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_280 T_IsDecPartialOrder_224
v0
  = let v1 :: t
v1 = (T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsDecEquivalence_44
du_isDecEquivalence_268 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._.sym
d_sym_282 ::
  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_224 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_282 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_282 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6 = T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_282 T_IsDecPartialOrder_224
v6
du_sym_282 ::
  T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_282 :: T_IsDecPartialOrder_224 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_282 T_IsDecPartialOrder_224
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))))
-- Relation.Binary.Structures.IsDecPartialOrder.Eq._.trans
d_trans_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_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_284 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecPartialOrder_224
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_284 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecPartialOrder_224
v6 = T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_284 T_IsDecPartialOrder_224
v6
du_trans_284 ::
  T_IsDecPartialOrder_224 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_284 :: T_IsDecPartialOrder_224
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_284 T_IsDecPartialOrder_224
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsDecPartialOrder_224 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224 -> T_IsPartialOrder_174
d_isPartialOrder_234 (T_IsDecPartialOrder_224 -> AgdaAny
forall a b. a -> b
coe T_IsDecPartialOrder_224
v0))))
-- Relation.Binary.Structures.IsStrictPartialOrder
d_IsStrictPartialOrder_290 :: p -> p -> p -> p -> p -> p -> ()
d_IsStrictPartialOrder_290 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsStrictPartialOrder_290
  = C_IsStrictPartialOrder'46'constructor_14045 T_IsEquivalence_26
                                                (AgdaAny ->
                                                 AgdaAny ->
                                                 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
                                                MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
-- Relation.Binary.Structures.IsStrictPartialOrder.isEquivalence
d_isEquivalence_302 ::
  T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 :: T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 T_IsStrictPartialOrder_290
v0
  = case T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0 of
      C_IsStrictPartialOrder'46'constructor_14045 T_IsEquivalence_26
v1 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v3 T_Σ_14
v4 -> T_IsEquivalence_26 -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsEquivalence_26
v1
      T_IsStrictPartialOrder_290
_ -> T_IsEquivalence_26
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictPartialOrder.irrefl
d_irrefl_304 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_304 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_304 = T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictPartialOrder.trans
d_trans_306 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_306 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_306 T_IsStrictPartialOrder_290
v0
  = case T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0 of
      C_IsStrictPartialOrder'46'constructor_14045 T_IsEquivalence_26
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_290
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictPartialOrder.<-resp-≈
d_'60''45'resp'45''8776'_308 ::
  T_IsStrictPartialOrder_290 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_308 :: T_IsStrictPartialOrder_290 -> T_Σ_14
d_'60''45'resp'45''8776'_308 T_IsStrictPartialOrder_290
v0
  = case T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0 of
      C_IsStrictPartialOrder'46'constructor_14045 T_IsEquivalence_26
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_290
_ -> T_Σ_14
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.isPartialEquivalence
d_isPartialEquivalence_312 ::
  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_290 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_312 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_290
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_312 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_290
v6
  = T_IsStrictPartialOrder_290 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_312 T_IsStrictPartialOrder_290
v6
du_isPartialEquivalence_312 ::
  T_IsStrictPartialOrder_290 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_312 :: T_IsStrictPartialOrder_290 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_312 T_IsStrictPartialOrder_290
v0
  = (T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.refl
d_refl_314 :: T_IsStrictPartialOrder_290 -> AgdaAny -> AgdaAny
d_refl_314 :: T_IsStrictPartialOrder_290 -> AgdaAny -> AgdaAny
d_refl_314 T_IsStrictPartialOrder_290
v0 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.reflexive
d_reflexive_316 ::
  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_290 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_316 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_290
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_316 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_290
v6 = T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_316 T_IsStrictPartialOrder_290
v6
du_reflexive_316 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_316 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_316 T_IsStrictPartialOrder_290
v0 AgdaAny
v1 AgdaAny
v2 T__'8801'__12
v3
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0)) AgdaAny
v1
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.sym
d_sym_318 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_318 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_318 T_IsStrictPartialOrder_290
v0 = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.Eq.trans
d_trans_320 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_320 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_320 T_IsStrictPartialOrder_290
v0 = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
-- Relation.Binary.Structures.IsStrictPartialOrder.asym
d_asym_322 ::
  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_290 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_322 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_290
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_322 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_290
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictPartialOrder.<-respʳ-≈
d_'60''45'resp'691''45''8776'_328 ::
  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_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_328 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_290
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_328 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_290
v6 AgdaAny
v7 AgdaAny
v8
                                  AgdaAny
v9
  = T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_328 T_IsStrictPartialOrder_290
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_'60''45'resp'691''45''8776'_328 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_328 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_328 T_IsStrictPartialOrder_290
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_290 -> T_Σ_14
d_'60''45'resp'45''8776'_308 (T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0)) AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
-- Relation.Binary.Structures.IsStrictPartialOrder.<-respˡ-≈
d_'60''45'resp'737''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_IsStrictPartialOrder_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_330 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictPartialOrder_290
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_330 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictPartialOrder_290
v6 AgdaAny
v7 AgdaAny
v8
                                  AgdaAny
v9
  = T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_330 T_IsStrictPartialOrder_290
v6 AgdaAny
v7 AgdaAny
v8 AgdaAny
v9
du_'60''45'resp'737''45''8776'_330 ::
  T_IsStrictPartialOrder_290 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_330 :: T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_330 T_IsStrictPartialOrder_290
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_290 -> T_Σ_14
d_'60''45'resp'45''8776'_308 (T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0)) AgdaAny
v1 AgdaAny
v2 AgdaAny
v3
-- Relation.Binary.Structures.IsDecStrictPartialOrder
d_IsDecStrictPartialOrder_336 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecStrictPartialOrder_336 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecStrictPartialOrder_336
  = C_IsDecStrictPartialOrder'46'constructor_18663 T_IsStrictPartialOrder_290
                                                   (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_346 ::
  T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 :: T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 T_IsDecStrictPartialOrder_336
v0
  = case T_IsDecStrictPartialOrder_336 -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0 of
      C_IsDecStrictPartialOrder'46'constructor_18663 T_IsStrictPartialOrder_290
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1
      T_IsDecStrictPartialOrder_336
_ -> T_IsStrictPartialOrder_290
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecStrictPartialOrder._≟_
d__'8799'__348 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__348 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__348 T_IsDecStrictPartialOrder_336
v0
  = case T_IsDecStrictPartialOrder_336 -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0 of
      C_IsDecStrictPartialOrder'46'constructor_18663 T_IsStrictPartialOrder_290
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_336
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecStrictPartialOrder._<?_
d__'60''63'__350 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__350 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'60''63'__350 T_IsDecStrictPartialOrder_336
v0
  = case T_IsDecStrictPartialOrder_336 -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0 of
      C_IsDecStrictPartialOrder'46'constructor_18663 T_IsStrictPartialOrder_290
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_336
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.<-resp-≈
d_'60''45'resp'45''8776'_354 ::
  T_IsDecStrictPartialOrder_336 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_354 :: T_IsDecStrictPartialOrder_336 -> T_Σ_14
d_'60''45'resp'45''8776'_354 T_IsDecStrictPartialOrder_336
v0
  = (T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_Σ_14
d_'60''45'resp'45''8776'_308
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.<-respʳ-≈
d_'60''45'resp'691''45''8776'_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_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_356 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_356 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6
  = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_356 T_IsDecStrictPartialOrder_336
v6
du_'60''45'resp'691''45''8776'_356 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_356 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_356 T_IsDecStrictPartialOrder_336
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_328
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.<-respˡ-≈
d_'60''45'resp'737''45''8776'_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_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_358 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_358 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6
  = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_358 T_IsDecStrictPartialOrder_336
v6
du_'60''45'resp'737''45''8776'_358 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_358 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_358 T_IsDecStrictPartialOrder_336
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_330
      ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.asym
d_asym_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_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_360 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_360 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.irrefl
d_irrefl_362 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_362 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_362 = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.isEquivalence
d_isEquivalence_364 ::
  T_IsDecStrictPartialOrder_336 -> T_IsEquivalence_26
d_isEquivalence_364 :: T_IsDecStrictPartialOrder_336 -> T_IsEquivalence_26
d_isEquivalence_364 T_IsDecStrictPartialOrder_336
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.trans
d_trans_366 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_366 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_366 T_IsDecStrictPartialOrder_336
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_306 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.isPartialEquivalence
d_isPartialEquivalence_370 ::
  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_336 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_370 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_370 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6
  = T_IsDecStrictPartialOrder_336 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_370 T_IsDecStrictPartialOrder_336
v6
du_isPartialEquivalence_370 ::
  T_IsDecStrictPartialOrder_336 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_370 :: T_IsDecStrictPartialOrder_336 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_370 T_IsDecStrictPartialOrder_336
v0
  = let v1 :: T_IsStrictPartialOrder_290
v1 = T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.refl
d_refl_372 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny
d_refl_372 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny
d_refl_372 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.reflexive
d_reflexive_374 ::
  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_336 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_374 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_374 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6 = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_374 T_IsDecStrictPartialOrder_336
v6
du_reflexive_374 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_374 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_374 T_IsDecStrictPartialOrder_336
v0
  = let v1 :: T_IsStrictPartialOrder_290
v1 = T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.sym
d_sym_376 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_376 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_376 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.SPO.Eq.trans
d_trans_378 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_378 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_378 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq.isDecEquivalence
d_isDecEquivalence_382 ::
  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_336 -> T_IsDecEquivalence_44
d_isDecEquivalence_382 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> T_IsDecEquivalence_44
d_isDecEquivalence_382 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6
  = T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
du_isDecEquivalence_382 T_IsDecStrictPartialOrder_336
v6
du_isDecEquivalence_382 ::
  T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
du_isDecEquivalence_382 :: T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
du_isDecEquivalence_382 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44
C_IsDecEquivalence'46'constructor_3083
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
      ((T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__348 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._._≟_
d__'8799'__386 ::
  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_336 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__386 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__386 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6 = T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__386 T_IsDecStrictPartialOrder_336
v6
du__'8799'__386 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__386 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__386 T_IsDecStrictPartialOrder_336
v0 = (T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__348 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.isEquivalence
d_isEquivalence_388 ::
  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_336 -> T_IsEquivalence_26
d_isEquivalence_388 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> T_IsEquivalence_26
d_isEquivalence_388 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6
  = T_IsDecStrictPartialOrder_336 -> T_IsEquivalence_26
du_isEquivalence_388 T_IsDecStrictPartialOrder_336
v6
du_isEquivalence_388 ::
  T_IsDecStrictPartialOrder_336 -> T_IsEquivalence_26
du_isEquivalence_388 :: T_IsDecStrictPartialOrder_336 -> T_IsEquivalence_26
du_isEquivalence_388 T_IsDecStrictPartialOrder_336
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_390 ::
  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_336 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_390 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_390 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6
  = T_IsDecStrictPartialOrder_336 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_390 T_IsDecStrictPartialOrder_336
v6
du_isPartialEquivalence_390 ::
  T_IsDecStrictPartialOrder_336 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_390 :: T_IsDecStrictPartialOrder_336 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_390 T_IsDecStrictPartialOrder_336
v0
  = let v1 :: t
v1 = (T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44)
-> AgdaAny -> t
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
du_isDecEquivalence_382 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.refl
d_refl_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_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny
d_refl_392 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
d_refl_392 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6 = T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny
du_refl_392 T_IsDecStrictPartialOrder_336
v6
du_refl_392 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny
du_refl_392 :: T_IsDecStrictPartialOrder_336 -> AgdaAny -> AgdaAny
du_refl_392 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.reflexive
d_reflexive_394 ::
  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_336 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_394 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_394 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6 = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_394 T_IsDecStrictPartialOrder_336
v6
du_reflexive_394 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_394 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_394 T_IsDecStrictPartialOrder_336
v0
  = let v1 :: t
v1 = (T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44)
-> AgdaAny -> t
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsDecEquivalence_44
du_isDecEquivalence_382 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.sym
d_sym_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_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_396 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_396 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6 = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_396 T_IsDecStrictPartialOrder_336
v6
du_sym_396 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_396 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_396 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
-- Relation.Binary.Structures.IsDecStrictPartialOrder.Eq._.trans
d_trans_398 ::
  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_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_398 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecStrictPartialOrder_336
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_398 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecStrictPartialOrder_336
v6 = T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_398 T_IsDecStrictPartialOrder_336
v6
du_trans_398 ::
  T_IsDecStrictPartialOrder_336 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_398 :: T_IsDecStrictPartialOrder_336
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_398 T_IsDecStrictPartialOrder_336
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_346 (T_IsDecStrictPartialOrder_336 -> AgdaAny
forall a b. a -> b
coe T_IsDecStrictPartialOrder_336
v0)))
-- Relation.Binary.Structures.IsTotalOrder
d_IsTotalOrder_404 :: p -> p -> p -> p -> p -> p -> ()
d_IsTotalOrder_404 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsTotalOrder_404
  = C_IsTotalOrder'46'constructor_20555 T_IsPartialOrder_174
                                        (AgdaAny ->
                                         AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30)
-- Relation.Binary.Structures.IsTotalOrder.isPartialOrder
d_isPartialOrder_412 :: T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 :: T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 T_IsTotalOrder_404
v0
  = case T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0 of
      C_IsTotalOrder'46'constructor_20555 T_IsPartialOrder_174
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 -> T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v1
      T_IsTotalOrder_404
_ -> T_IsPartialOrder_174
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalOrder.total
d_total_414 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_414 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_414 T_IsTotalOrder_404
v0
  = case T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0 of
      C_IsTotalOrder'46'constructor_20555 T_IsPartialOrder_174
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_404
_ -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsTotalOrder._.antisym
d_antisym_418 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_418 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_418 T_IsTotalOrder_404
v0
  = (T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_184 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0))
-- Relation.Binary.Structures.IsTotalOrder._.isEquivalence
d_isEquivalence_420 :: T_IsTotalOrder_404 -> T_IsEquivalence_26
d_isEquivalence_420 :: T_IsTotalOrder_404 -> T_IsEquivalence_26
d_isEquivalence_420 T_IsTotalOrder_404
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0)))
-- Relation.Binary.Structures.IsTotalOrder._.isPreorder
d_isPreorder_422 :: T_IsTotalOrder_404 -> T_IsPreorder_70
d_isPreorder_422 :: T_IsTotalOrder_404 -> T_IsPreorder_70
d_isPreorder_422 T_IsTotalOrder_404
v0
  = (T_IsPartialOrder_174 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0))
-- Relation.Binary.Structures.IsTotalOrder._.refl
d_refl_424 ::
  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_404 -> AgdaAny -> AgdaAny
d_refl_424 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> AgdaAny
-> AgdaAny
d_refl_424 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6 = T_IsTotalOrder_404 -> AgdaAny -> AgdaAny
du_refl_424 T_IsTotalOrder_404
v6
du_refl_424 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny
du_refl_424 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny
du_refl_424 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.reflexive
d_reflexive_426 ::
  T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_426 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_426 T_IsTotalOrder_404
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0)))
-- Relation.Binary.Structures.IsTotalOrder._.trans
d_trans_428 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_428 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_428 T_IsTotalOrder_404
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0)))
-- Relation.Binary.Structures.IsTotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_430 ::
  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_404 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_430 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> T_Σ_14
d_'8764''45'resp'45''8776'_430 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404 -> T_Σ_14
du_'8764''45'resp'45''8776'_430 T_IsTotalOrder_404
v6
du_'8764''45'resp'45''8776'_430 ::
  T_IsTotalOrder_404 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_430 :: T_IsTotalOrder_404 -> T_Σ_14
du_'8764''45'resp'45''8776'_430 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_432 ::
  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_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_432 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_432 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_432 T_IsTotalOrder_404
v6
du_'8764''45'resp'691''45''8776'_432 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_432 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_432 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_434 ::
  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_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_434 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_434 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_434 T_IsTotalOrder_404
v6
du_'8764''45'resp'737''45''8776'_434 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_434 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_434 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_436 ::
  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_404 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_436 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> T_Σ_14
d_'8818''45'resp'45''8776'_436 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404 -> T_Σ_14
du_'8818''45'resp'45''8776'_436 T_IsTotalOrder_404
v6
du_'8818''45'resp'45''8776'_436 ::
  T_IsTotalOrder_404 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_436 :: T_IsTotalOrder_404 -> T_Σ_14
du_'8818''45'resp'45''8776'_436 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.≲-respʳ-≈
d_'8818''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_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_438 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_438 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_438 T_IsTotalOrder_404
v6
du_'8818''45'resp'691''45''8776'_438 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_438 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_438 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.≲-respˡ-≈
d_'8818''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_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_440 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_440 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_440 T_IsTotalOrder_404
v6
du_'8818''45'resp'737''45''8776'_440 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_440 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_440 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_444 ::
  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_404 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_444 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_444 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_444 T_IsTotalOrder_404
v6
du_isPartialEquivalence_444 ::
  T_IsTotalOrder_404 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_444 :: T_IsTotalOrder_404 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_444 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: T_IsPreorder_70
v2 = T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v2))))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.refl
d_refl_446 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny
d_refl_446 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny
d_refl_446 T_IsTotalOrder_404
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0))))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.reflexive
d_reflexive_448 ::
  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_404 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_448 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_448 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6 = T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_448 T_IsTotalOrder_404
v6
du_reflexive_448 ::
  T_IsTotalOrder_404 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_448 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_448 T_IsTotalOrder_404
v0
  = let v1 :: T_IsPartialOrder_174
v1 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPreorder_70
v2 = T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsPartialOrder_174
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v2)) AgdaAny
v3))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.sym
d_sym_450 ::
  T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_450 :: T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_450 T_IsTotalOrder_404
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0))))
-- Relation.Binary.Structures.IsTotalOrder._.Eq.trans
d_trans_452 ::
  T_IsTotalOrder_404 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_452 :: T_IsTotalOrder_404
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_452 T_IsTotalOrder_404
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0))))
-- Relation.Binary.Structures.IsTotalOrder.isTotalPreorder
d_isTotalPreorder_454 ::
  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_404 -> T_IsTotalPreorder_124
d_isTotalPreorder_454 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsTotalOrder_404
-> T_IsTotalPreorder_124
d_isTotalPreorder_454 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsTotalOrder_404
v6
  = T_IsTotalOrder_404 -> T_IsTotalPreorder_124
du_isTotalPreorder_454 T_IsTotalOrder_404
v6
du_isTotalPreorder_454 ::
  T_IsTotalOrder_404 -> T_IsTotalPreorder_124
du_isTotalPreorder_454 :: T_IsTotalOrder_404 -> T_IsTotalPreorder_124
du_isTotalPreorder_454 T_IsTotalOrder_404
v0
  = (T_IsPreorder_70
 -> (AgdaAny -> AgdaAny -> T__'8846'__30) -> T_IsTotalPreorder_124)
-> AgdaAny -> AgdaAny -> T_IsTotalPreorder_124
forall a b. a -> b
coe
      T_IsPreorder_70
-> (AgdaAny -> AgdaAny -> T__'8846'__30) -> T_IsTotalPreorder_124
C_IsTotalPreorder'46'constructor_8325
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0)))
      ((T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_414 (T_IsTotalOrder_404 -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404
v0))
-- Relation.Binary.Structures.IsDecTotalOrder
d_IsDecTotalOrder_460 :: p -> p -> p -> p -> p -> p -> ()
d_IsDecTotalOrder_460 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDecTotalOrder_460
  = C_IsDecTotalOrder'46'constructor_22695 T_IsTotalOrder_404
                                           (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_470 :: T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 :: T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 T_IsDecTotalOrder_460
v0
  = case T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0 of
      C_IsDecTotalOrder'46'constructor_22695 T_IsTotalOrder_404
v1 AgdaAny -> AgdaAny -> T_Dec_20
v2 AgdaAny -> AgdaAny -> T_Dec_20
v3 -> T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1
      T_IsDecTotalOrder_460
_ -> T_IsTotalOrder_404
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecTotalOrder._≟_
d__'8799'__472 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__472 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__472 T_IsDecTotalOrder_460
v0
  = case T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0 of
      C_IsDecTotalOrder'46'constructor_22695 T_IsTotalOrder_404
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_460
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecTotalOrder._≤?_
d__'8804''63'__474 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8804''63'__474 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__474 T_IsDecTotalOrder_460
v0
  = case T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0 of
      C_IsDecTotalOrder'46'constructor_22695 T_IsTotalOrder_404
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_460
_ -> AgdaAny -> AgdaAny -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDecTotalOrder._.antisym
d_antisym_478 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_478 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_478 T_IsDecTotalOrder_460
v0
  = (T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_antisym_184
      ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))
-- Relation.Binary.Structures.IsDecTotalOrder._.isEquivalence
d_isEquivalence_480 :: T_IsDecTotalOrder_460 -> T_IsEquivalence_26
d_isEquivalence_480 :: T_IsDecTotalOrder_460 -> T_IsEquivalence_26
d_isEquivalence_480 T_IsDecTotalOrder_460
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
         ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder._.isPartialOrder
d_isPartialOrder_482 ::
  T_IsDecTotalOrder_460 -> T_IsPartialOrder_174
d_isPartialOrder_482 :: T_IsDecTotalOrder_460 -> T_IsPartialOrder_174
d_isPartialOrder_482 T_IsDecTotalOrder_460
v0
  = (T_IsTotalOrder_404 -> T_IsPartialOrder_174)
-> AgdaAny -> T_IsPartialOrder_174
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.isPreorder
d_isPreorder_484 :: T_IsDecTotalOrder_460 -> T_IsPreorder_70
d_isPreorder_484 :: T_IsDecTotalOrder_460 -> T_IsPreorder_70
d_isPreorder_484 T_IsDecTotalOrder_460
v0
  = (T_IsPartialOrder_174 -> T_IsPreorder_70)
-> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
      ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))
-- Relation.Binary.Structures.IsDecTotalOrder._.isTotalPreorder
d_isTotalPreorder_486 ::
  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_460 -> T_IsTotalPreorder_124
d_isTotalPreorder_486 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_IsTotalPreorder_124
d_isTotalPreorder_486 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_IsTotalPreorder_124
du_isTotalPreorder_486 T_IsDecTotalOrder_460
v6
du_isTotalPreorder_486 ::
  T_IsDecTotalOrder_460 -> T_IsTotalPreorder_124
du_isTotalPreorder_486 :: T_IsDecTotalOrder_460 -> T_IsTotalPreorder_124
du_isTotalPreorder_486 T_IsDecTotalOrder_460
v0
  = (T_IsTotalOrder_404 -> T_IsTotalPreorder_124)
-> AgdaAny -> T_IsTotalPreorder_124
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsTotalPreorder_124
du_isTotalPreorder_454 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.refl
d_refl_488 ::
  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_460 -> AgdaAny -> AgdaAny
d_refl_488 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
d_refl_488 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6 = T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
du_refl_488 T_IsDecTotalOrder_460
v6
du_refl_488 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
du_refl_488 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
du_refl_488 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe ((T_IsPreorder_70 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70 -> AgdaAny -> AgdaAny
du_refl_98 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.reflexive
d_reflexive_490 ::
  T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_490 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_490 T_IsDecTotalOrder_460
v0
  = (T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_reflexive_82
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
         ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder._.total
d_total_492 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_total_492 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_492 T_IsDecTotalOrder_460
v0 = (T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30)
-> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a b. a -> b
coe T_IsTotalOrder_404 -> AgdaAny -> AgdaAny -> T__'8846'__30
d_total_414 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))
-- Relation.Binary.Structures.IsDecTotalOrder._.trans
d_trans_494 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_494 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_494 T_IsDecTotalOrder_460
v0
  = (T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_84
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
         ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder._.∼-resp-≈
d_'8764''45'resp'45''8776'_496 ::
  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_460 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8764''45'resp'45''8776'_496 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_Σ_14
d_'8764''45'resp'45''8776'_496 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_Σ_14
du_'8764''45'resp'45''8776'_496 T_IsDecTotalOrder_460
v6
du_'8764''45'resp'45''8776'_496 ::
  T_IsDecTotalOrder_460 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8764''45'resp'45''8776'_496 :: T_IsDecTotalOrder_460 -> T_Σ_14
du_'8764''45'resp'45''8776'_496 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
du_'8764''45'resp'45''8776'_118 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.∼-respʳ-≈
d_'8764''45'resp'691''45''8776'_498 ::
  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_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'691''45''8776'_498 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'691''45''8776'_498 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_498 T_IsDecTotalOrder_460
v6
du_'8764''45'resp'691''45''8776'_498 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_498 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_498 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'691''45''8776'_116
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.∼-respˡ-≈
d_'8764''45'resp'737''45''8776'_500 ::
  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_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8764''45'resp'737''45''8776'_500 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8764''45'resp'737''45''8776'_500 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_500 T_IsDecTotalOrder_460
v6
du_'8764''45'resp'737''45''8776'_500 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_500 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_500 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8764''45'resp'737''45''8776'_114
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.≲-resp-≈
d_'8818''45'resp'45''8776'_502 ::
  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_460 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8818''45'resp'45''8776'_502 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_Σ_14
d_'8818''45'resp'45''8776'_502 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_Σ_14
du_'8818''45'resp'45''8776'_502 T_IsDecTotalOrder_460
v6
du_'8818''45'resp'45''8776'_502 ::
  T_IsDecTotalOrder_460 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8818''45'resp'45''8776'_502 :: T_IsDecTotalOrder_460 -> T_Σ_14
du_'8818''45'resp'45''8776'_502 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70 -> T_Σ_14) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_Σ_14
du_'8818''45'resp'45''8776'_112 ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.≲-respʳ-≈
d_'8818''45'resp'691''45''8776'_504 ::
  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_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'691''45''8776'_504 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'691''45''8776'_504 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_504 T_IsDecTotalOrder_460
v6
du_'8818''45'resp'691''45''8776'_504 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_504 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_504 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'691''45''8776'_106
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder._.≲-respˡ-≈
d_'8818''45'resp'737''45''8776'_506 ::
  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_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'8818''45'resp'737''45''8776'_506 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'8818''45'resp'737''45''8776'_506 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_506 T_IsDecTotalOrder_460
v6
du_'8818''45'resp'737''45''8776'_506 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_506 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_506 T_IsDecTotalOrder_460
v0
  = let v1 :: T_IsTotalOrder_404
v1 = T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> T_IsDecTotalOrder_460
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: T_IsPartialOrder_174
v2 = T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 (T_IsTotalOrder_404 -> T_IsTotalOrder_404
forall a b. a -> b
coe T_IsTotalOrder_404
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'8818''45'resp'737''45''8776'_100
            ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v2))))
-- Relation.Binary.Structures.IsDecTotalOrder.isDecPartialOrder
d_isDecPartialOrder_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_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224
d_isDecPartialOrder_508 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_IsDecPartialOrder_224
d_isDecPartialOrder_508 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224
du_isDecPartialOrder_508 T_IsDecTotalOrder_460
v6
du_isDecPartialOrder_508 ::
  T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224
du_isDecPartialOrder_508 :: T_IsDecTotalOrder_460 -> T_IsDecPartialOrder_224
du_isDecPartialOrder_508 T_IsDecTotalOrder_460
v0
  = (T_IsPartialOrder_174
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> T_IsDecPartialOrder_224)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsDecPartialOrder_224
forall a b. a -> b
coe
      T_IsPartialOrder_174
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> T_IsDecPartialOrder_224
C_IsDecPartialOrder'46'constructor_11683
      ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))
      ((T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__472 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)) ((T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8804''63'__474 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))
-- Relation.Binary.Structures.IsDecTotalOrder.Eq.isDecEquivalence
d_isDecEquivalence_512 ::
  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_460 -> T_IsDecEquivalence_44
d_isDecEquivalence_512 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_IsDecEquivalence_44
d_isDecEquivalence_512 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44
du_isDecEquivalence_512 T_IsDecTotalOrder_460
v6
du_isDecEquivalence_512 ::
  T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44
du_isDecEquivalence_512 :: T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44
du_isDecEquivalence_512 T_IsDecTotalOrder_460
v0
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44
C_IsDecEquivalence'46'constructor_3083
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
            ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))))
      ((T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__472 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._._≟_
d__'8799'__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_IsDecTotalOrder_460 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__516 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__516 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6 = T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__516 T_IsDecTotalOrder_460
v6
du__'8799'__516 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__516 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__516 T_IsDecTotalOrder_460
v0 = (T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> T_Dec_20
d__'8799'__472 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._.isEquivalence
d_isEquivalence_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_IsDecTotalOrder_460 -> T_IsEquivalence_26
d_isEquivalence_518 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_IsEquivalence_26
d_isEquivalence_518 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_IsEquivalence_26
du_isEquivalence_518 T_IsDecTotalOrder_460
v6
du_isEquivalence_518 :: T_IsDecTotalOrder_460 -> T_IsEquivalence_26
du_isEquivalence_518 :: T_IsDecTotalOrder_460 -> T_IsEquivalence_26
du_isEquivalence_518 T_IsDecTotalOrder_460
v0
  = (T_IsPreorder_70 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
      ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
         ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0))))
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_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_IsDecTotalOrder_460 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_520 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_520 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6
  = T_IsDecTotalOrder_460 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_520 T_IsDecTotalOrder_460
v6
du_isPartialEquivalence_520 ::
  T_IsDecTotalOrder_460 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_520 :: T_IsDecTotalOrder_460 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_520 T_IsDecTotalOrder_460
v0
  = let v1 :: t
v1 = (T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44
du_isDecEquivalence_512 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._.refl
d_refl_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_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
d_refl_522 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
d_refl_522 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6 = T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
du_refl_522 T_IsDecTotalOrder_460
v6
du_refl_522 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
du_refl_522 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny
du_refl_522 T_IsDecTotalOrder_460
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
            ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))))
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._.reflexive
d_reflexive_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_IsDecTotalOrder_460 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_524 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_524 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6 = T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_524 T_IsDecTotalOrder_460
v6
du_reflexive_524 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_524 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_524 T_IsDecTotalOrder_460
v0
  = let v1 :: t
v1 = (T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsDecEquivalence_44
du_isDecEquivalence_512 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._.sym
d_sym_526 ::
  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_460 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_526 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_526 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6 = T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_526 T_IsDecTotalOrder_460
v6
du_sym_526 ::
  T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_526 :: T_IsDecTotalOrder_460 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_526 T_IsDecTotalOrder_460
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
            ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))))
-- Relation.Binary.Structures.IsDecTotalOrder.Eq._.trans
d_trans_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_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_528 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDecTotalOrder_460
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_528 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDecTotalOrder_460
v6 = T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_528 T_IsDecTotalOrder_460
v6
du_trans_528 ::
  T_IsDecTotalOrder_460 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_528 :: T_IsDecTotalOrder_460
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_528 T_IsDecTotalOrder_460
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
      ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsEquivalence_26
d_isEquivalence_80
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
d_isPreorder_182
            ((T_IsTotalOrder_404 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsTotalOrder_404 -> T_IsPartialOrder_174
d_isPartialOrder_412 ((T_IsDecTotalOrder_460 -> T_IsTotalOrder_404) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460 -> T_IsTotalOrder_404
d_isTotalOrder_470 (T_IsDecTotalOrder_460 -> AgdaAny
forall a b. a -> b
coe T_IsDecTotalOrder_460
v0)))))
-- Relation.Binary.Structures.IsStrictTotalOrder
d_IsStrictTotalOrder_534 :: p -> p -> p -> p -> p -> p -> ()
d_IsStrictTotalOrder_534 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsStrictTotalOrder_534
  = C_IsStrictTotalOrder'46'constructor_24953 T_IsStrictPartialOrder_290
                                              (AgdaAny ->
                                               AgdaAny ->
                                               MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158)
-- Relation.Binary.Structures.IsStrictTotalOrder.isStrictPartialOrder
d_isStrictPartialOrder_542 ::
  T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 :: T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 T_IsStrictTotalOrder_534
v0
  = case T_IsStrictTotalOrder_534 -> T_IsStrictTotalOrder_534
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0 of
      C_IsStrictTotalOrder'46'constructor_24953 T_IsStrictPartialOrder_290
v1 AgdaAny -> AgdaAny -> T_Tri_158
v2 -> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1
      T_IsStrictTotalOrder_534
_ -> T_IsStrictPartialOrder_290
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictTotalOrder.compare
d_compare_544 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_544 :: T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_544 T_IsStrictTotalOrder_534
v0
  = case T_IsStrictTotalOrder_534 -> T_IsStrictTotalOrder_534
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0 of
      C_IsStrictTotalOrder'46'constructor_24953 T_IsStrictPartialOrder_290
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_534
_ -> AgdaAny -> AgdaAny -> T_Tri_158
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsStrictTotalOrder._.<-resp-≈
d_'60''45'resp'45''8776'_548 ::
  T_IsStrictTotalOrder_534 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_548 :: T_IsStrictTotalOrder_534 -> T_Σ_14
d_'60''45'resp'45''8776'_548 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_Σ_14
d_'60''45'resp'45''8776'_308
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_550 ::
  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_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_550 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_550 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_550 T_IsStrictTotalOrder_534
v6
du_'60''45'resp'691''45''8776'_550 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_550 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_550 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_328
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_552 ::
  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_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_552 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_552 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_552 T_IsStrictTotalOrder_534
v6
du_'60''45'resp'737''45''8776'_552 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_552 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_552 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_330
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.asym
d_asym_554 ::
  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_534 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_554 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_554 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictTotalOrder._.irrefl
d_irrefl_556 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_556 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_556 = T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsStrictTotalOrder._.isEquivalence
d_isEquivalence_558 ::
  T_IsStrictTotalOrder_534 -> T_IsEquivalence_26
d_isEquivalence_558 :: T_IsStrictTotalOrder_534 -> T_IsEquivalence_26
d_isEquivalence_558 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._.trans
d_trans_560 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_560 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_560 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_306 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._≟_
d__'8799'__562 ::
  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_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__562 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__562 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 T_IsStrictTotalOrder_534
v6
du__'8799'__562 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__562 :: T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 T_IsStrictTotalOrder_534
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'_492
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_544 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder._<?_
d__'60''63'__564 ::
  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_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__564 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__564 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__564 T_IsStrictTotalOrder_534
v6
du__'60''63'__564 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__564 :: T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__564 T_IsStrictTotalOrder_534
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'_528
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_544 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.isDecStrictPartialOrder
d_isDecStrictPartialOrder_566 ::
  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_534 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_566 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_566 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_566 T_IsStrictTotalOrder_534
v6
du_isDecStrictPartialOrder_566 ::
  T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_566 :: T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_566 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> T_IsDecStrictPartialOrder_336
C_IsDecStrictPartialOrder'46'constructor_18663
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)) ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__564 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq.isDecEquivalence
d_isDecEquivalence_570 ::
  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_534 -> T_IsDecEquivalence_44
d_isDecEquivalence_570 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> T_IsDecEquivalence_44
d_isDecEquivalence_570 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 T_IsStrictTotalOrder_534
v6
du_isDecEquivalence_570 ::
  T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 :: T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 T_IsStrictTotalOrder_534
v0
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44
C_IsDecEquivalence'46'constructor_3083
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)))
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._._≟_
d__'8799'__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_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__574 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__574 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__574 T_IsStrictTotalOrder_534
v6
du__'8799'__574 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__574 :: T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__574 T_IsStrictTotalOrder_534
v0 = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.isEquivalence
d_isEquivalence_576 ::
  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_534 -> T_IsEquivalence_26
d_isEquivalence_576 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> T_IsEquivalence_26
d_isEquivalence_576 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534 -> T_IsEquivalence_26
du_isEquivalence_576 T_IsStrictTotalOrder_534
v6
du_isEquivalence_576 ::
  T_IsStrictTotalOrder_534 -> T_IsEquivalence_26
du_isEquivalence_576 :: T_IsStrictTotalOrder_534 -> T_IsEquivalence_26
du_isEquivalence_576 T_IsStrictTotalOrder_534
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.isPartialEquivalence
d_isPartialEquivalence_578 ::
  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_534 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_578 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_578 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_578 T_IsStrictTotalOrder_534
v6
du_isPartialEquivalence_578 ::
  T_IsStrictTotalOrder_534 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_578 :: T_IsStrictTotalOrder_534 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_578 T_IsStrictTotalOrder_534
v0
  = let v1 :: t
v1 = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.refl
d_refl_580 ::
  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_534 -> AgdaAny -> AgdaAny
d_refl_580 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
d_refl_580 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny
du_refl_580 T_IsStrictTotalOrder_534
v6
du_refl_580 :: T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny
du_refl_580 :: T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny
du_refl_580 T_IsStrictTotalOrder_534
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.reflexive
d_reflexive_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_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_582 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_582 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_582 T_IsStrictTotalOrder_534
v6
du_reflexive_582 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_582 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_582 T_IsStrictTotalOrder_534
v0
  = let v1 :: t
v1 = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0) in
    (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (\ AgdaAny
v2 AgdaAny
v3 AgdaAny
v4 ->
         (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v1)) AgdaAny
v2)
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.sym
d_sym_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_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_584 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_584 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_584 T_IsStrictTotalOrder_534
v6
du_sym_584 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_584 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_584 T_IsStrictTotalOrder_534
v0
  = (T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)))
-- Relation.Binary.Structures.IsStrictTotalOrder.Eq._.trans
d_trans_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_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_586 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_586 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6 = T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_586 T_IsStrictTotalOrder_534
v6
du_trans_586 ::
  T_IsStrictTotalOrder_534 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_586 :: T_IsStrictTotalOrder_534
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_586 T_IsStrictTotalOrder_534
v0
  = (T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)))
-- Relation.Binary.Structures.IsStrictTotalOrder.isDecEquivalence
d_isDecEquivalence_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_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
d_isDecEquivalence_588 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsStrictTotalOrder_534
-> T_IsDecEquivalence_44
d_isDecEquivalence_588 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsStrictTotalOrder_534
v6
  = T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_588 T_IsStrictTotalOrder_534
v6
du_isDecEquivalence_588 ::
  T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_588 :: T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_588 T_IsStrictTotalOrder_534
v0
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_IsDecEquivalence_44
C_IsDecEquivalence'46'constructor_3083
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0)))
      ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder
d_IsDenseLinearOrder_594 :: p -> p -> p -> p -> p -> p -> ()
d_IsDenseLinearOrder_594 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsDenseLinearOrder_594
  = C_IsDenseLinearOrder'46'constructor_28131 T_IsStrictTotalOrder_534
                                              (AgdaAny ->
                                               AgdaAny ->
                                               AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14)
-- Relation.Binary.Structures.IsDenseLinearOrder.isStrictTotalOrder
d_isStrictTotalOrder_602 ::
  T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 :: T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 T_IsDenseLinearOrder_594
v0
  = case T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0 of
      C_IsDenseLinearOrder'46'constructor_28131 T_IsStrictTotalOrder_534
v1 AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
v2 -> T_IsStrictTotalOrder_534 -> T_IsStrictTotalOrder_534
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1
      T_IsDenseLinearOrder_594
_ -> T_IsStrictTotalOrder_534
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDenseLinearOrder.dense
d_dense_604 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_dense_604 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
d_dense_604 T_IsDenseLinearOrder_594
v0
  = case T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0 of
      C_IsDenseLinearOrder'46'constructor_28131 T_IsStrictTotalOrder_534
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_594
_ -> AgdaAny -> AgdaAny -> AgdaAny -> T_Σ_14
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsDenseLinearOrder._._<?_
d__'60''63'__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_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'60''63'__608 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'60''63'__608 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__608 T_IsDenseLinearOrder_594
v6
du__'60''63'__608 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'60''63'__608 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__608 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'60''63'__564 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._._≟_
d__'8799'__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_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__610 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__610 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__610 T_IsDenseLinearOrder_594
v6
du__'8799'__610 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__610 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__610 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.<-resp-≈
d_'60''45'resp'45''8776'_612 ::
  T_IsDenseLinearOrder_594 -> MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'60''45'resp'45''8776'_612 :: T_IsDenseLinearOrder_594 -> T_Σ_14
d_'60''45'resp'45''8776'_612 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictPartialOrder_290 -> T_Σ_14) -> AgdaAny -> T_Σ_14
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_Σ_14
d_'60''45'resp'45''8776'_308
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.<-respʳ-≈
d_'60''45'resp'691''45''8776'_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_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'691''45''8776'_614 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'691''45''8776'_614 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_614 T_IsDenseLinearOrder_594
v6
du_'60''45'resp'691''45''8776'_614 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_614 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_614 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'691''45''8776'_328
         ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.<-respˡ-≈
d_'60''45'resp'737''45''8776'_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_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_'60''45'resp'737''45''8776'_616 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_'60''45'resp'737''45''8776'_616 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_616 T_IsDenseLinearOrder_594
v6
du_'60''45'resp'737''45''8776'_616 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_616 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_616 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_'60''45'resp'737''45''8776'_330
         ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.asym
d_asym_618 ::
  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_594 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_asym_618 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
d_asym_618 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDenseLinearOrder._.compare
d_compare_620 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Binary.Definitions.T_Tri_158
d_compare_620 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_620 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_Tri_158
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Tri_158
d_compare_544 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.irrefl
d_irrefl_622 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_622 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_622 = T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsDenseLinearOrder._.isDecEquivalence
d_isDecEquivalence_624 ::
  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_594 -> T_IsDecEquivalence_44
d_isDecEquivalence_624 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> T_IsDecEquivalence_44
d_isDecEquivalence_624 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594 -> T_IsDecEquivalence_44
du_isDecEquivalence_624 T_IsDenseLinearOrder_594
v6
du_isDecEquivalence_624 ::
  T_IsDenseLinearOrder_594 -> T_IsDecEquivalence_44
du_isDecEquivalence_624 :: T_IsDenseLinearOrder_594 -> T_IsDecEquivalence_44
du_isDecEquivalence_624 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_588 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.isDecStrictPartialOrder
d_isDecStrictPartialOrder_626 ::
  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_594 -> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_626 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> T_IsDecStrictPartialOrder_336
d_isDecStrictPartialOrder_626 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_626 T_IsDenseLinearOrder_594
v6
du_isDecStrictPartialOrder_626 ::
  T_IsDenseLinearOrder_594 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_626 :: T_IsDenseLinearOrder_594 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_626 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336)
-> AgdaAny -> T_IsDecStrictPartialOrder_336
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsDecStrictPartialOrder_336
du_isDecStrictPartialOrder_566
      ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.isEquivalence
d_isEquivalence_628 ::
  T_IsDenseLinearOrder_594 -> T_IsEquivalence_26
d_isEquivalence_628 :: T_IsDenseLinearOrder_594 -> T_IsEquivalence_26
d_isEquivalence_628 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.isStrictPartialOrder
d_isStrictPartialOrder_630 ::
  T_IsDenseLinearOrder_594 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_630 :: T_IsDenseLinearOrder_594 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_630 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.trans
d_trans_632 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_632 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_632 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_306
      ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq._≟_
d__'8799'__636 ::
  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_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d__'8799'__636 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> T_Dec_20
d__'8799'__636 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__636 T_IsDenseLinearOrder_594
v6
du__'8799'__636 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny -> MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du__'8799'__636 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__636 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe ((T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> AgdaAny -> AgdaAny -> T_Dec_20
du__'8799'__562 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.isDecEquivalence
d_isDecEquivalence_638 ::
  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_594 -> T_IsDecEquivalence_44
d_isDecEquivalence_638 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> T_IsDecEquivalence_44
d_isDecEquivalence_638 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594 -> T_IsDecEquivalence_44
du_isDecEquivalence_638 T_IsDenseLinearOrder_594
v6
du_isDecEquivalence_638 ::
  T_IsDenseLinearOrder_594 -> T_IsDecEquivalence_44
du_isDecEquivalence_638 :: T_IsDenseLinearOrder_594 -> T_IsDecEquivalence_44
du_isDecEquivalence_638 T_IsDenseLinearOrder_594
v0
  = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44)
-> AgdaAny -> T_IsDecEquivalence_44
forall a b. a -> b
coe
      T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 ((T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> AgdaAny
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.isEquivalence
d_isEquivalence_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_IsDenseLinearOrder_594 -> T_IsEquivalence_26
d_isEquivalence_640 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> T_IsEquivalence_26
d_isEquivalence_640 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594 -> T_IsEquivalence_26
du_isEquivalence_640 T_IsDenseLinearOrder_594
v6
du_isEquivalence_640 ::
  T_IsDenseLinearOrder_594 -> T_IsEquivalence_26
du_isEquivalence_640 :: T_IsDenseLinearOrder_594 -> T_IsEquivalence_26
du_isEquivalence_640 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1)))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.isPartialEquivalence
d_isPartialEquivalence_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_IsDenseLinearOrder_594 -> T_IsPartialEquivalence_16
d_isPartialEquivalence_642 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> T_IsPartialEquivalence_16
d_isPartialEquivalence_642 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6
  = T_IsDenseLinearOrder_594 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_642 T_IsDenseLinearOrder_594
v6
du_isPartialEquivalence_642 ::
  T_IsDenseLinearOrder_594 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_642 :: T_IsDenseLinearOrder_594 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_642 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny -> T_IsPartialEquivalence_16
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1) in
       AgdaAny -> AgdaAny
forall a b. a -> b
coe
         ((T_IsEquivalence_26 -> T_IsPartialEquivalence_16)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> T_IsPartialEquivalence_16
du_isPartialEquivalence_42 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2))))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.refl
d_refl_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_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny
d_refl_644 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
d_refl_644 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny
du_refl_644 T_IsDenseLinearOrder_594
v6
du_refl_644 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny
du_refl_644 :: T_IsDenseLinearOrder_594 -> AgdaAny -> AgdaAny
du_refl_644 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny
d_refl_34
         ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1))))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.reflexive
d_reflexive_646 ::
  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_594 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
d_reflexive_646 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> T__'8801'__12
-> AgdaAny
d_reflexive_646 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_646 T_IsDenseLinearOrder_594
v6
du_reflexive_646 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny ->
  AgdaAny ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 -> AgdaAny
du_reflexive_646 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
du_reflexive_646 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> T__'8801'__12 -> AgdaAny
forall a b. a -> b
coe
      (let v2 :: t
v2 = (T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44) -> AgdaAny -> t
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsDecEquivalence_44
du_isDecEquivalence_570 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1) in
       (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v3 AgdaAny
v4 AgdaAny
v5 ->
            (T_IsEquivalence_26 -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
du_reflexive_40 ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44 -> T_IsEquivalence_26
d_isEquivalence_50 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
forall a. a
v2)) AgdaAny
v3))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.sym
d_sym_648 ::
  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_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_648 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_sym_648 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_648 T_IsDenseLinearOrder_594
v6
du_sym_648 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_648 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_sym_648 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_36
         ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1))))
-- Relation.Binary.Structures.IsDenseLinearOrder._.Eq.trans
d_trans_650 ::
  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_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_650 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsDenseLinearOrder_594
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> AgdaAny
d_trans_650 ~()
v0 ~()
v1 ~()
v2 ~AgdaAny -> AgdaAny -> ()
v3 ~()
v4 ~AgdaAny -> AgdaAny -> ()
v5 T_IsDenseLinearOrder_594
v6 = T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_650 T_IsDenseLinearOrder_594
v6
du_trans_650 ::
  T_IsDenseLinearOrder_594 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_650 :: T_IsDenseLinearOrder_594
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
du_trans_650 T_IsDenseLinearOrder_594
v0
  = let v1 :: T_IsStrictTotalOrder_534
v1 = T_IsDenseLinearOrder_594 -> T_IsStrictTotalOrder_534
d_isStrictTotalOrder_602 (T_IsDenseLinearOrder_594 -> T_IsDenseLinearOrder_594
forall a b. a -> b
coe T_IsDenseLinearOrder_594
v0) in
    AgdaAny
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
      ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_trans_38
         ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
d_isEquivalence_302 ((T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534 -> T_IsStrictPartialOrder_290
d_isStrictPartialOrder_542 (T_IsStrictTotalOrder_534 -> AgdaAny
forall a b. a -> b
coe T_IsStrictTotalOrder_534
v1))))
-- Relation.Binary.Structures.IsApartnessRelation
d_IsApartnessRelation_656 :: p -> p -> p -> p -> p -> p -> ()
d_IsApartnessRelation_656 p
a0 p
a1 p
a2 p
a3 p
a4 p
a5 = ()
data T_IsApartnessRelation_656
  = C_IsApartnessRelation'46'constructor_30225 (AgdaAny ->
                                                AgdaAny -> AgdaAny -> AgdaAny)
                                               (AgdaAny ->
                                                AgdaAny ->
                                                AgdaAny ->
                                                AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30)
-- Relation.Binary.Structures.IsApartnessRelation.irrefl
d_irrefl_666 ::
  T_IsApartnessRelation_656 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_irrefl_666 :: T_IsApartnessRelation_656
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
d_irrefl_666 = T_IsApartnessRelation_656
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20
forall a. a
erased
-- Relation.Binary.Structures.IsApartnessRelation.sym
d_sym_668 ::
  T_IsApartnessRelation_656 ->
  AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_668 :: T_IsApartnessRelation_656
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
d_sym_668 T_IsApartnessRelation_656
v0
  = case T_IsApartnessRelation_656 -> T_IsApartnessRelation_656
forall a b. a -> b
coe T_IsApartnessRelation_656
v0 of
      C_IsApartnessRelation'46'constructor_30225 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_656
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsApartnessRelation.cotrans
d_cotrans_670 ::
  T_IsApartnessRelation_656 ->
  AgdaAny ->
  AgdaAny ->
  AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_cotrans_670 :: T_IsApartnessRelation_656
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
d_cotrans_670 T_IsApartnessRelation_656
v0
  = case T_IsApartnessRelation_656 -> T_IsApartnessRelation_656
forall a b. a -> b
coe T_IsApartnessRelation_656
v0 of
      C_IsApartnessRelation'46'constructor_30225 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_656
_ -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Relation.Binary.Structures.IsApartnessRelation._¬#_
d__'172''35'__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_IsApartnessRelation_656 -> AgdaAny -> AgdaAny -> ()
d__'172''35'__672 :: ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsApartnessRelation_656
-> AgdaAny
-> AgdaAny
-> ()
d__'172''35'__672 = ()
-> ()
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> ()
-> (AgdaAny -> AgdaAny -> ())
-> T_IsApartnessRelation_656
-> AgdaAny
-> AgdaAny
-> ()
forall a. a
erased