{-# 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.Data.Product.Relation.Binary.Pointwise.NonDependent 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.Product.Base
import qualified MAlonzo.Code.Data.Sum.Base
import qualified MAlonzo.Code.Function.Bundles
import qualified MAlonzo.Code.Relation.Binary.Bundles
import qualified MAlonzo.Code.Relation.Binary.Structures
import qualified MAlonzo.Code.Relation.Nullary.Decidable.Core

-- Data.Product.Relation.Binary.Pointwise.NonDependent.Pointwise
d_Pointwise_40 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 -> ()
d_Pointwise_40 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> T_Σ_14
-> T_Level_18
d_Pointwise_40 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> T_Σ_14
-> T_Level_18
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-reflexive
d_'215''45'reflexive_54 ::
  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 -> ()) ->
  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 -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'reflexive_54 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'reflexive_54 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9
                        ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'reflexive_54 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15
du_'215''45'reflexive_54 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'reflexive_54 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'reflexive_54 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 T_Σ_14
v2 T_Σ_14
v3
  = ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_map_128
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v4 ->
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-refl
d_'215''45'refl_60 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'refl_60 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
d_'215''45'refl_60 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny
v9 T_Σ_14
v10
  = (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14
du_'215''45'refl_60 AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny
v9 T_Σ_14
v10
du_'215''45'refl_60 ::
  (AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'refl_60 :: (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14
du_'215''45'refl_60 AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny
v1 T_Σ_14
v2
  = (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
      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2)))
      ((AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-irreflexive₁
d_'215''45'irreflexive'8321'_66 ::
  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 -> ()) ->
  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 -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_'215''45'irreflexive'8321'_66 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
d_'215''45'irreflexive'8321'_66 = T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-irreflexive₂
d_'215''45'irreflexive'8322'_74 ::
  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 -> ()) ->
  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 -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_'215''45'irreflexive'8322'_74 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
d_'215''45'irreflexive'8322'_74 = T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-symmetric
d_'215''45'symmetric_82 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'symmetric_82 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'symmetric_82 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 T_Σ_14
v10
                        T_Σ_14
v11
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'symmetric_82 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 T_Σ_14
v10 T_Σ_14
v11
du_'215''45'symmetric_82 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'symmetric_82 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'symmetric_82 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 T_Σ_14
v2 T_Σ_14
v3
  = ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_map_128
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3)))
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v4 ->
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-transitive
d_'215''45'transitive_88 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'transitive_88 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'transitive_88 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 T_Σ_14
v10
                         T_Σ_14
v11 T_Σ_14
v12
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'transitive_88 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v9 T_Σ_14
v10 T_Σ_14
v11 T_Σ_14
v12
du_'215''45'transitive_88 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'transitive_88 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'transitive_88 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 T_Σ_14
v2 T_Σ_14
v3 T_Σ_14
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_zip_198
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4)))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v5 AgdaAny
v6 ->
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4))))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-antisymmetric
d_'215''45'antisymmetric_94 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  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 -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'antisymmetric_94 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'antisymmetric_94 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9
                            ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'antisymmetric_94 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15
du_'215''45'antisymmetric_94 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'antisymmetric_94 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'antisymmetric_94 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 T_Σ_14
v2 T_Σ_14
v3
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_zip_198
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3)))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v4 AgdaAny
v5 ->
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-asymmetric₁
d_'215''45'asymmetric'8321'_100 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_'215''45'asymmetric'8321'_100 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
d_'215''45'asymmetric'8321'_100 = T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-asymmetric₂
d_'215''45'asymmetric'8322'_108 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   AgdaAny ->
   AgdaAny -> MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Data.Irrelevant.T_Irrelevant_20
d_'215''45'asymmetric'8322'_108 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
d_'215''45'asymmetric'8322'_108 = T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> T_Irrelevant_20)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Irrelevant_20
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-respectsʳ
d_'215''45'respects'691'_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 -> ()) ->
  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 -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'respects'691'_116 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'respects'691'_116 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8
                             ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15 T_Σ_14
v16
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'respects'691'_116 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15 T_Σ_14
v16
du_'215''45'respects'691'_116 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'respects'691'_116 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'respects'691'_116 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 T_Σ_14
v2 T_Σ_14
v3 T_Σ_14
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_zip_198
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4)))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v5 AgdaAny
v6 ->
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4))))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-respectsˡ
d_'215''45'respects'737'_122 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  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 -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'respects'737'_122 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'respects'737'_122 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8
                             ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15 T_Σ_14
v16
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'respects'737'_122 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v12 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v13 T_Σ_14
v14 T_Σ_14
v15 T_Σ_14
v16
du_'215''45'respects'737'_122 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'respects'737'_122 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'respects'737'_122 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 T_Σ_14
v2 T_Σ_14
v3 T_Σ_14
v4
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_zip_198
      ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))
         (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_fst_28 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4)))
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe
         (\ AgdaAny
v5 AgdaAny
v6 ->
            (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
              AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v1 (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3))
              (T_Σ_14 -> AgdaAny
MAlonzo.Code.Agda.Builtin.Sigma.d_snd_30 (T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4))))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-respects₂
d_'215''45'respects'8322'_128 ::
  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 -> ()) ->
  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 -> ()) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'215''45'respects'8322'_128 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
d_'215''45'respects'8322'_128 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8
                              ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11
  = T_Σ_14 -> T_Σ_14 -> T_Σ_14
du_'215''45'respects'8322'_128
du_'215''45'respects'8322'_128 ::
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'215''45'respects'8322'_128 :: T_Σ_14 -> T_Σ_14 -> T_Σ_14
du_'215''45'respects'8322'_128
  = ((AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> T_Σ_14 -> T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
MAlonzo.Code.Data.Product.Base.du_zip_198
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'respects'691'_116)
      ((AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v0 AgdaAny
v1 -> ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny
forall a b. a -> b
coe (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'respects'737'_122))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-total
d_'215''45'total_130 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Data.Sum.Base.T__'8846'__30
d_'215''45'total_130 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_Σ_14
-> T_Σ_14
-> T__'8846'__30
d_'215''45'total_130 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> T__'8846'__30
v9 AgdaAny -> AgdaAny -> T__'8846'__30
v10 T_Σ_14
v11
                     T_Σ_14
v12
  = (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_Σ_14
-> T_Σ_14
-> T__'8846'__30
du_'215''45'total_130 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v8 AgdaAny -> AgdaAny -> T__'8846'__30
v9 AgdaAny -> AgdaAny -> T__'8846'__30
v10 T_Σ_14
v11 T_Σ_14
v12
du_'215''45'total_130 ::
  (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  (AgdaAny -> AgdaAny -> MAlonzo.Code.Data.Sum.Base.T__'8846'__30) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Data.Sum.Base.T__'8846'__30
du_'215''45'total_130 :: (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> (AgdaAny -> AgdaAny -> T__'8846'__30)
-> T_Σ_14
-> T_Σ_14
-> T__'8846'__30
du_'215''45'total_130 AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny -> AgdaAny -> T__'8846'__30
v1 AgdaAny -> AgdaAny -> T__'8846'__30
v2 T_Σ_14
v3 T_Σ_14
v4
  = case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3 of
      MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v5 AgdaAny
v6
        -> case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v4 of
             MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v7 AgdaAny
v8
               -> let v9 :: t
v9 = (AgdaAny -> AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v1 AgdaAny
v5 AgdaAny
v7 in
                  AgdaAny -> T__'8846'__30
forall a b. a -> b
coe
                    (let v10 :: t
v10 = (AgdaAny -> AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny -> t
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T__'8846'__30
v2 AgdaAny
v6 AgdaAny
v8 in
                     AgdaAny -> AgdaAny
forall a b. a -> b
coe
                       (case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v9 of
                          MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v11
                            -> case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v10 of
                                 MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v12
                                   -> (AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                        AgdaAny -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38
                                        ((AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                           AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v11)
                                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v12))
                                 MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v12
                                   -> (AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                        AgdaAny -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42
                                        ((AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                           AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
                                           ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v5 AgdaAny
v7 AgdaAny
v11) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v12))
                                 T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
                          MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v11
                            -> case AgdaAny -> T__'8846'__30
forall a b. a -> b
coe AgdaAny
forall a. a
v10 of
                                 MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38 AgdaAny
v12
                                   -> (AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                        AgdaAny -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8321'_38
                                        ((AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                           AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32
                                           ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
v0 AgdaAny
v7 AgdaAny
v5 AgdaAny
v11) (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v12))
                                 MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42 AgdaAny
v12
                                   -> (AgdaAny -> T__'8846'__30) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                        AgdaAny -> T__'8846'__30
MAlonzo.Code.Data.Sum.Base.C_inj'8322'_42
                                        ((AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
                                           AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v11)
                                           (AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny
v12))
                                 T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError
                          T__'8846'__30
_ -> AgdaAny
forall a. a
MAlonzo.RTE.mazUnreachableError))
             T_Σ_14
_ -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
      T_Σ_14
_ -> T__'8846'__30
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-decidable
d_'215''45'decidable_222 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
d_'215''45'decidable_222 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20)
-> T_Σ_14
-> T_Σ_14
-> T_Dec_20
d_'215''45'decidable_222 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 AgdaAny -> AgdaAny -> T_Dec_20
v8 AgdaAny -> AgdaAny -> T_Dec_20
v9 T_Σ_14
v10
                         T_Σ_14
v11
  = (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_Σ_14 -> T_Σ_14 -> T_Dec_20
du_'215''45'decidable_222 AgdaAny -> AgdaAny -> T_Dec_20
v8 AgdaAny -> AgdaAny -> T_Dec_20
v9 T_Σ_14
v10 T_Σ_14
v11
du_'215''45'decidable_222 ::
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  (AgdaAny ->
   AgdaAny ->
   MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20) ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Relation.Nullary.Decidable.Core.T_Dec_20
du_'215''45'decidable_222 :: (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_Σ_14 -> T_Σ_14 -> T_Dec_20
du_'215''45'decidable_222 AgdaAny -> AgdaAny -> T_Dec_20
v0 AgdaAny -> AgdaAny -> T_Dec_20
v1 T_Σ_14
v2 T_Σ_14
v3
  = case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v2 of
      MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v4 AgdaAny
v5
        -> case T_Σ_14 -> T_Σ_14
forall a b. a -> b
coe T_Σ_14
v3 of
             MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
v6 AgdaAny
v7
               -> (T_Dec_20 -> T_Dec_20 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> T_Dec_20
forall a b. a -> b
coe
                    T_Dec_20 -> T_Dec_20 -> T_Dec_20
MAlonzo.Code.Relation.Nullary.Decidable.Core.du__'215''45'dec__76
                    ((AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v0 AgdaAny
v4 AgdaAny
v6) ((AgdaAny -> AgdaAny -> T_Dec_20) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe AgdaAny -> AgdaAny -> T_Dec_20
v1 AgdaAny
v5 AgdaAny
v7)
             T_Σ_14
_ -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
      T_Σ_14
_ -> T_Dec_20
forall a. a
MAlonzo.RTE.mazUnreachableError
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-isEquivalence
d_'215''45'isEquivalence_236 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
d_'215''45'isEquivalence_236 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_IsEquivalence_26
-> T_IsEquivalence_26
-> T_IsEquivalence_26
d_'215''45'isEquivalence_236 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 T_IsEquivalence_26
v8 T_IsEquivalence_26
v9
  = T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26
du_'215''45'isEquivalence_236 T_IsEquivalence_26
v8 T_IsEquivalence_26
v9
du_'215''45'isEquivalence_236 ::
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsEquivalence_26
du_'215''45'isEquivalence_236 :: T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26
du_'215''45'isEquivalence_236 T_IsEquivalence_26
v0 T_IsEquivalence_26
v1
  = ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsEquivalence_26
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.C_IsEquivalence'46'constructor_745
      (((AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny) -> (AgdaAny -> AgdaAny) -> T_Σ_14 -> T_Σ_14
du_'215''45'refl_60
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v0))
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_refl_34 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v1)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'symmetric_82
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v0))
         ((T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_sym_36 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v1)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'transitive_88
         ((T_IsEquivalence_26
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_38 (T_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
MAlonzo.Code.Relation.Binary.Structures.d_trans_38 (T_IsEquivalence_26 -> AgdaAny
forall a b. a -> b
coe T_IsEquivalence_26
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-isDecEquivalence
d_'215''45'isDecEquivalence_250 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
d_'215''45'isDecEquivalence_250 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_IsDecEquivalence_44
-> T_IsDecEquivalence_44
-> T_IsDecEquivalence_44
d_'215''45'isDecEquivalence_250 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 ~T_Level_18
v6 ~AgdaAny -> AgdaAny -> T_Level_18
v7 T_IsDecEquivalence_44
v8
                                T_IsDecEquivalence_44
v9
  = T_IsDecEquivalence_44
-> T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
du_'215''45'isDecEquivalence_250 T_IsDecEquivalence_44
v8 T_IsDecEquivalence_44
v9
du_'215''45'isDecEquivalence_250 ::
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsDecEquivalence_44
du_'215''45'isDecEquivalence_250 :: T_IsDecEquivalence_44
-> T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
du_'215''45'isDecEquivalence_250 T_IsDecEquivalence_44
v0 T_IsDecEquivalence_44
v1
  = (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
MAlonzo.Code.Relation.Binary.Structures.C_IsDecEquivalence'46'constructor_3083
      ((T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26
du_'215''45'isEquivalence_236
         ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
            (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0))
         ((T_IsDecEquivalence_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_50
            (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v1)))
      (((AgdaAny -> AgdaAny -> T_Dec_20)
 -> (AgdaAny -> AgdaAny -> T_Dec_20)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Dec_20)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> T_Dec_20)
-> (AgdaAny -> AgdaAny -> T_Dec_20) -> T_Σ_14 -> T_Σ_14 -> T_Dec_20
du_'215''45'decidable_222
         ((T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__52 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v0))
         ((T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsDecEquivalence_44 -> AgdaAny -> AgdaAny -> T_Dec_20
MAlonzo.Code.Relation.Binary.Structures.d__'8799'__52 (T_IsDecEquivalence_44 -> AgdaAny
forall a b. a -> b
coe T_IsDecEquivalence_44
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-isPreorder
d_'215''45'isPreorder_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 -> ()) ->
  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 -> ()) ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
d_'215''45'isPreorder_260 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_IsPreorder_70
-> T_IsPreorder_70
-> T_IsPreorder_70
d_'215''45'isPreorder_260 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9
                          ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 T_IsPreorder_70
v12 T_IsPreorder_70
v13
  = T_IsPreorder_70 -> T_IsPreorder_70 -> T_IsPreorder_70
du_'215''45'isPreorder_260 T_IsPreorder_70
v12 T_IsPreorder_70
v13
du_'215''45'isPreorder_260 ::
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPreorder_70
du_'215''45'isPreorder_260 :: T_IsPreorder_70 -> T_IsPreorder_70 -> T_IsPreorder_70
du_'215''45'isPreorder_260 T_IsPreorder_70
v0 T_IsPreorder_70
v1
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsPreorder_70)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsPreorder_70
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.C_IsPreorder'46'constructor_4003
      ((T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26
du_'215''45'isEquivalence_236
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
         ((T_IsPreorder_70 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_80
            (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'reflexive_54
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v0))
         ((T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPreorder_70 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_reflexive_82 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'transitive_88
         ((T_IsPreorder_70
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_84 (T_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
MAlonzo.Code.Relation.Binary.Structures.d_trans_84 (T_IsPreorder_70 -> AgdaAny
forall a b. a -> b
coe T_IsPreorder_70
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-isPartialOrder
d_'215''45'isPartialOrder_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 -> ()) ->
  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 -> ()) ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
d_'215''45'isPartialOrder_274 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_IsPartialOrder_174
-> T_IsPartialOrder_174
-> T_IsPartialOrder_174
d_'215''45'isPartialOrder_274 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7 ~T_Level_18
v8
                              ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 T_IsPartialOrder_174
v12 T_IsPartialOrder_174
v13
  = T_IsPartialOrder_174
-> T_IsPartialOrder_174 -> T_IsPartialOrder_174
du_'215''45'isPartialOrder_274 T_IsPartialOrder_174
v12 T_IsPartialOrder_174
v13
du_'215''45'isPartialOrder_274 ::
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsPartialOrder_174
du_'215''45'isPartialOrder_274 :: T_IsPartialOrder_174
-> T_IsPartialOrder_174 -> T_IsPartialOrder_174
du_'215''45'isPartialOrder_274 T_IsPartialOrder_174
v0 T_IsPartialOrder_174
v1
  = (T_IsPreorder_70
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny -> T_IsPartialOrder_174
forall a b. a -> b
coe
      T_IsPreorder_70
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Structures.C_IsPartialOrder'46'constructor_9853
      ((T_IsPreorder_70 -> T_IsPreorder_70 -> T_IsPreorder_70)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsPreorder_70 -> T_IsPreorder_70
du_'215''45'isPreorder_260
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
         ((T_IsPartialOrder_174 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Structures.d_isPreorder_182 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'antisymmetric_94
         ((T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_184 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v0))
         ((T_IsPartialOrder_174
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsPartialOrder_174
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_antisym_184 (T_IsPartialOrder_174 -> AgdaAny
forall a b. a -> b
coe T_IsPartialOrder_174
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-isStrictPartialOrder
d_'215''45'isStrictPartialOrder_288 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  (AgdaAny -> AgdaAny -> ()) ->
  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 -> ()) ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
d_'215''45'isStrictPartialOrder_288 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_Level_18
-> (AgdaAny -> AgdaAny -> T_Level_18)
-> T_IsStrictPartialOrder_290
-> T_IsStrictPartialOrder_290
-> T_IsStrictPartialOrder_290
d_'215''45'isStrictPartialOrder_288 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~AgdaAny -> AgdaAny -> T_Level_18
v3 ~T_Level_18
v4 ~AgdaAny -> AgdaAny -> T_Level_18
v5 ~T_Level_18
v6 ~T_Level_18
v7
                                    ~T_Level_18
v8 ~AgdaAny -> AgdaAny -> T_Level_18
v9 ~T_Level_18
v10 ~AgdaAny -> AgdaAny -> T_Level_18
v11 T_IsStrictPartialOrder_290
v12 T_IsStrictPartialOrder_290
v13
  = T_IsStrictPartialOrder_290
-> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
du_'215''45'isStrictPartialOrder_288 T_IsStrictPartialOrder_290
v12 T_IsStrictPartialOrder_290
v13
du_'215''45'isStrictPartialOrder_288 ::
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290 ->
  MAlonzo.Code.Relation.Binary.Structures.T_IsStrictPartialOrder_290
du_'215''45'isStrictPartialOrder_288 :: T_IsStrictPartialOrder_290
-> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
du_'215''45'isStrictPartialOrder_288 T_IsStrictPartialOrder_290
v0 T_IsStrictPartialOrder_290
v1
  = (T_IsEquivalence_26
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny -> AgdaAny -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe
      T_IsEquivalence_26
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Structures.C_IsStrictPartialOrder'46'constructor_14045
      ((T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26
du_'215''45'isEquivalence_236
         ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
            (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
         ((T_IsStrictPartialOrder_290 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_IsStrictPartialOrder_290 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Structures.d_isEquivalence_302
            (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1)))
      (((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14
 -> T_Σ_14)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
du_'215''45'transitive_88
         ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_306 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
         ((T_IsStrictPartialOrder_290
 -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
-> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny
MAlonzo.Code.Relation.Binary.Structures.d_trans_306 (T_IsStrictPartialOrder_290 -> AgdaAny
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1)))
      ((T_Σ_14 -> T_Σ_14 -> T_Σ_14) -> T_Σ_14 -> T_Σ_14 -> AgdaAny
forall a b. a -> b
coe
         T_Σ_14 -> T_Σ_14 -> T_Σ_14
du_'215''45'respects'8322'_128
         (T_IsStrictPartialOrder_290 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_308
            (T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v0))
         (T_IsStrictPartialOrder_290 -> T_Σ_14
MAlonzo.Code.Relation.Binary.Structures.d_'60''45'resp'45''8776'_308
            (T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
forall a b. a -> b
coe T_IsStrictPartialOrder_290
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-setoid
d_'215''45'setoid_304 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44
d_'215''45'setoid_304 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Setoid_44
-> T_Setoid_44
-> T_Setoid_44
d_'215''45'setoid_304 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 T_Setoid_44
v4 T_Setoid_44
v5
  = T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44
du_'215''45'setoid_304 T_Setoid_44
v4 T_Setoid_44
v5
du_'215''45'setoid_304 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44
du_'215''45'setoid_304 :: T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44
du_'215''45'setoid_304 T_Setoid_44
v0 T_Setoid_44
v1
  = (T_IsEquivalence_26 -> T_Setoid_44) -> AgdaAny -> T_Setoid_44
forall a b. a -> b
coe
      T_IsEquivalence_26 -> T_Setoid_44
MAlonzo.Code.Relation.Binary.Bundles.C_Setoid'46'constructor_733
      ((T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsEquivalence_26 -> T_IsEquivalence_26 -> T_IsEquivalence_26
du_'215''45'isEquivalence_236
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v0))
         ((T_Setoid_44 -> T_IsEquivalence_26) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Setoid_44 -> T_IsEquivalence_26
MAlonzo.Code.Relation.Binary.Bundles.d_isEquivalence_60 (T_Setoid_44 -> AgdaAny
forall a b. a -> b
coe T_Setoid_44
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-decSetoid
d_'215''45'decSetoid_314 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84
d_'215''45'decSetoid_314 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_DecSetoid_84
-> T_DecSetoid_84
-> T_DecSetoid_84
d_'215''45'decSetoid_314 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 T_DecSetoid_84
v4 T_DecSetoid_84
v5
  = T_DecSetoid_84 -> T_DecSetoid_84 -> T_DecSetoid_84
du_'215''45'decSetoid_314 T_DecSetoid_84
v4 T_DecSetoid_84
v5
du_'215''45'decSetoid_314 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_DecSetoid_84
du_'215''45'decSetoid_314 :: T_DecSetoid_84 -> T_DecSetoid_84 -> T_DecSetoid_84
du_'215''45'decSetoid_314 T_DecSetoid_84
v0 T_DecSetoid_84
v1
  = (T_IsDecEquivalence_44 -> T_DecSetoid_84)
-> AgdaAny -> T_DecSetoid_84
forall a b. a -> b
coe
      T_IsDecEquivalence_44 -> T_DecSetoid_84
MAlonzo.Code.Relation.Binary.Bundles.C_DecSetoid'46'constructor_1389
      ((T_IsDecEquivalence_44
 -> T_IsDecEquivalence_44 -> T_IsDecEquivalence_44)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsDecEquivalence_44
-> T_IsDecEquivalence_44 -> T_IsDecEquivalence_44
du_'215''45'isDecEquivalence_250
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DecSetoid_84 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Bundles.d_isDecEquivalence_100
            (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v0))
         ((T_DecSetoid_84 -> T_IsDecEquivalence_44) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_DecSetoid_84 -> T_IsDecEquivalence_44
MAlonzo.Code.Relation.Binary.Bundles.d_isDecEquivalence_100
            (T_DecSetoid_84 -> AgdaAny
forall a b. a -> b
coe T_DecSetoid_84
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-preorder
d_'215''45'preorder_324 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132
d_'215''45'preorder_324 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Preorder_132
-> T_Preorder_132
-> T_Preorder_132
d_'215''45'preorder_324 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 T_Preorder_132
v6 T_Preorder_132
v7
  = T_Preorder_132 -> T_Preorder_132 -> T_Preorder_132
du_'215''45'preorder_324 T_Preorder_132
v6 T_Preorder_132
v7
du_'215''45'preorder_324 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Preorder_132
du_'215''45'preorder_324 :: T_Preorder_132 -> T_Preorder_132 -> T_Preorder_132
du_'215''45'preorder_324 T_Preorder_132
v0 T_Preorder_132
v1
  = (T_IsPreorder_70 -> T_Preorder_132) -> AgdaAny -> T_Preorder_132
forall a b. a -> b
coe
      T_IsPreorder_70 -> T_Preorder_132
MAlonzo.Code.Relation.Binary.Bundles.C_Preorder'46'constructor_2267
      ((T_IsPreorder_70 -> T_IsPreorder_70 -> T_IsPreorder_70)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPreorder_70 -> T_IsPreorder_70 -> T_IsPreorder_70
du_'215''45'isPreorder_260
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Preorder_132 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Bundles.d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v0))
         ((T_Preorder_132 -> T_IsPreorder_70) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Preorder_132 -> T_IsPreorder_70
MAlonzo.Code.Relation.Binary.Bundles.d_isPreorder_154 (T_Preorder_132 -> AgdaAny
forall a b. a -> b
coe T_Preorder_132
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-poset
d_'215''45'poset_334 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314
d_'215''45'poset_334 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Poset_314
-> T_Poset_314
-> T_Poset_314
d_'215''45'poset_334 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 T_Poset_314
v6 T_Poset_314
v7
  = T_Poset_314 -> T_Poset_314 -> T_Poset_314
du_'215''45'poset_334 T_Poset_314
v6 T_Poset_314
v7
du_'215''45'poset_334 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Poset_314
du_'215''45'poset_334 :: T_Poset_314 -> T_Poset_314 -> T_Poset_314
du_'215''45'poset_334 T_Poset_314
v0 T_Poset_314
v1
  = (T_IsPartialOrder_174 -> T_Poset_314) -> AgdaAny -> T_Poset_314
forall a b. a -> b
coe
      T_IsPartialOrder_174 -> T_Poset_314
MAlonzo.Code.Relation.Binary.Bundles.C_Poset'46'constructor_6389
      ((T_IsPartialOrder_174
 -> T_IsPartialOrder_174 -> T_IsPartialOrder_174)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsPartialOrder_174
-> T_IsPartialOrder_174 -> T_IsPartialOrder_174
du_'215''45'isPartialOrder_274
         ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Poset_314 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Bundles.d_isPartialOrder_336 (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v0))
         ((T_Poset_314 -> T_IsPartialOrder_174) -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_Poset_314 -> T_IsPartialOrder_174
MAlonzo.Code.Relation.Binary.Bundles.d_isPartialOrder_336
            (T_Poset_314 -> AgdaAny
forall a b. a -> b
coe T_Poset_314
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent.×-strictPartialOrder
d_'215''45'strictPartialOrder_344 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_556
d_'215''45'strictPartialOrder_344 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_StrictPartialOrder_556
-> T_StrictPartialOrder_556
-> T_StrictPartialOrder_556
d_'215''45'strictPartialOrder_344 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Level_18
v4 ~T_Level_18
v5 T_StrictPartialOrder_556
v6 T_StrictPartialOrder_556
v7
  = T_StrictPartialOrder_556
-> T_StrictPartialOrder_556 -> T_StrictPartialOrder_556
du_'215''45'strictPartialOrder_344 T_StrictPartialOrder_556
v6 T_StrictPartialOrder_556
v7
du_'215''45'strictPartialOrder_344 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_556 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_StrictPartialOrder_556
du_'215''45'strictPartialOrder_344 :: T_StrictPartialOrder_556
-> T_StrictPartialOrder_556 -> T_StrictPartialOrder_556
du_'215''45'strictPartialOrder_344 T_StrictPartialOrder_556
v0 T_StrictPartialOrder_556
v1
  = (T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556)
-> AgdaAny -> T_StrictPartialOrder_556
forall a b. a -> b
coe
      T_IsStrictPartialOrder_290 -> T_StrictPartialOrder_556
MAlonzo.Code.Relation.Binary.Bundles.C_StrictPartialOrder'46'constructor_11097
      ((T_IsStrictPartialOrder_290
 -> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         T_IsStrictPartialOrder_290
-> T_IsStrictPartialOrder_290 -> T_IsStrictPartialOrder_290
du_'215''45'isStrictPartialOrder_288
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Bundles.d_isStrictPartialOrder_578
            (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v0))
         ((T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290)
-> AgdaAny -> AgdaAny
forall a b. a -> b
coe
            T_StrictPartialOrder_556 -> T_IsStrictPartialOrder_290
MAlonzo.Code.Relation.Binary.Bundles.d_isStrictPartialOrder_578
            (T_StrictPartialOrder_556 -> AgdaAny
forall a b. a -> b
coe T_StrictPartialOrder_556
v1)))
-- Data.Product.Relation.Binary.Pointwise.NonDependent._×ₛ_
d__'215''8347'__354 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44
d__'215''8347'__354 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Setoid_44
-> T_Setoid_44
-> T_Setoid_44
d__'215''8347'__354 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 = T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44
du__'215''8347'__354
du__'215''8347'__354 ::
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44 ->
  MAlonzo.Code.Relation.Binary.Bundles.T_Setoid_44
du__'215''8347'__354 :: T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44
du__'215''8347'__354 = (T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44)
-> T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44
forall a b. a -> b
coe T_Setoid_44 -> T_Setoid_44 -> T_Setoid_44
du_'215''45'setoid_304
-- Data.Product.Relation.Binary.Pointwise.NonDependent.≡×≡⇒≡
d_'8801''215''8801''8658''8801'_356 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12
d_'8801''215''8801''8658''8801'_356 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T__'8801'__12
d_'8801''215''8801''8658''8801'_356 = T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Σ_14
-> T_Σ_14
-> T_Σ_14
-> T__'8801'__12
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.≡⇒≡×≡
d_'8801''8658''8801''215''8801'_358 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14 ->
  MAlonzo.Code.Agda.Builtin.Equality.T__'8801'__12 ->
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
d_'8801''8658''8801''215''8801'_358 :: T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Level_18
-> T_Σ_14
-> T_Σ_14
-> T__'8801'__12
-> T_Σ_14
d_'8801''8658''8801''215''8801'_358 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3 ~T_Σ_14
v4 ~T_Σ_14
v5 ~T__'8801'__12
v6
  = T_Σ_14
du_'8801''8658''8801''215''8801'_358
du_'8801''8658''8801''215''8801'_358 ::
  MAlonzo.Code.Agda.Builtin.Sigma.T_Σ_14
du_'8801''8658''8801''215''8801'_358 :: T_Σ_14
du_'8801''8658''8801''215''8801'_358
  = (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 AgdaAny
forall a. a
erased AgdaAny
forall a. a
erased
-- Data.Product.Relation.Binary.Pointwise.NonDependent.Pointwise-≡↔≡
d_Pointwise'45''8801''8596''8801'_360 ::
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () ->
  MAlonzo.Code.Agda.Primitive.T_Level_18 ->
  () -> MAlonzo.Code.Function.Bundles.T_Inverse_1960
d_Pointwise'45''8801''8596''8801'_360 :: T_Level_18
-> T_Level_18 -> T_Level_18 -> T_Level_18 -> T_Inverse_1960
d_Pointwise'45''8801''8596''8801'_360 ~T_Level_18
v0 ~T_Level_18
v1 ~T_Level_18
v2 ~T_Level_18
v3
  = T_Inverse_1960
du_Pointwise'45''8801''8596''8801'_360
du_Pointwise'45''8801''8596''8801'_360 ::
  MAlonzo.Code.Function.Bundles.T_Inverse_1960
du_Pointwise'45''8801''8596''8801'_360 :: T_Inverse_1960
du_Pointwise'45''8801''8596''8801'_360
  = ((AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
 -> T_Σ_14
 -> T_Inverse_1960)
-> AgdaAny
-> AgdaAny
-> AgdaAny
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> AgdaAny
-> T_Inverse_1960
forall a b. a -> b
coe
      (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> (AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny)
-> T_Σ_14
-> T_Inverse_1960
MAlonzo.Code.Function.Bundles.C_Inverse'46'constructor_38621
      ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v0 -> AgdaAny
v0)) ((AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v0 -> AgdaAny
v0)) AgdaAny
forall a. a
erased
      (\ AgdaAny
v0 AgdaAny
v1 AgdaAny
v2 -> T_Σ_14 -> AgdaAny
forall a b. a -> b
coe T_Σ_14
du_'8801''8658''8801''215''8801'_358)
      ((AgdaAny -> AgdaAny -> T_Σ_14) -> AgdaAny -> AgdaAny -> AgdaAny
forall a b. a -> b
coe
         AgdaAny -> AgdaAny -> T_Σ_14
MAlonzo.Code.Agda.Builtin.Sigma.C__'44'__32 AgdaAny
forall a. a
erased
         ((AgdaAny -> AgdaAny -> AgdaAny -> AgdaAny) -> AgdaAny
forall a b. a -> b
coe (\ AgdaAny
v0 AgdaAny
v1 AgdaAny
v2 -> T_Σ_14 -> AgdaAny
forall a b. a -> b
coe T_Σ_14
du_'8801''8658''8801''215''8801'_358)))